<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.0 20120330//EN" "JATS-archivearticle1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Y. Kish);</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>risk management modeling : advantages and limitations⋆</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Ihor Liakh</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Yurii Kish</string-name>
          <email>yurii.kish@uzhnu.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nataliia Shumylo</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Uzhhorod National University</institution>
          ,
          <addr-line>Uzhhorod, Narodna Square 3, 88000</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2025</year>
      </pub-date>
      <volume>000</volume>
      <fpage>0</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>The increasing complexity of IT systems and the growing importance of security and reliability highlight the need for effective risk management. This work addresses the problem by conducting a structured analysis of existing approaches and proposing a unified classification of risk management models. The study integrates traditional mathematical methods with computational intelligence techniques, providing a comparative evaluation of intelligent, mathematical, integrated, and lifecycle-oriented approaches. The results demonstrate the importance of aligning risk management practices with the specific characteristics of IT projects, ensuring both adaptability and compliance. The novelty of the research lies in the first systematic classification of IT risk management models within a single framework, as well as the further development of adaptive and decision-support strategies. The findings contribute to the advancement of risk management methodologies and provide a basis for future research focused on hybrid approaches and practical implementation in enterprise environments.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;IT risk management models</kwd>
        <kwd>GNNs</kwd>
        <kwd>Neuro-Fuzzy logic</kwd>
        <kwd>security</kwd>
        <kwd>BPMN 1</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>In the contemporary digital environment, risk management and quality assurance in information
technologies have become increasingly significant. The growing complexity of software systems,
the adoption of DevSecOps practices, and the use of artificial intelligence introduce new challenges
related to risk identification, prediction, mitigation, and monitoring. Inefficient risk management
directly affects the reliability and security of information systems, making this issue one of the
most critical in the IT domain.</p>
      <p>Traditional approaches to risk management rely on formal models and standardised procedures,
but they often lack flexibility and adaptability under conditions of uncertainty. Recent studies
indicate a transition from isolated technical practices towards integrated models that consider not
only technical but also organisational and behavioural factors. This trend underscores the necessity
of systematisation and comparative analysis of existing methods to determine their advantages,
limitations, and practical applicability.</p>
      <p>The aim of this work is to analyse modern methods and models of IT risk management, evaluate
their effectiveness in various application contexts, and propose a classification that encompasses
intelligent, mathematical, integrated, and comprehensive approaches.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related Works</title>
      <p>
        In the study by Olayinka Olufunmilayo Olusanya et al. [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], a neuro-fuzzy model of security risk
assessment – Neuro-Fuzzy Security Risk Assessment System – is presented. It combines the
capabilities of fuzzy logic for modeling expert uncertainty and neural networks for data-driven
learning. This model is applied in the context of the full lifecycle of software systems and allows
adaptive assessment of risks arising from changes in conditions or security requirements.
      </p>
      <p>
        In the work of Renny Sari Dewi et al. [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], the Risk Proportion in Effort Estimation Model is
proposed – a model that takes risk into account as one of the factors in determining workload. The
model makes it possible to integrate risk assessments into cost calculations at the initial stages of
planning, which is critically important under conditions of incomplete information and high
uncertainty.
      </p>
      <p>
        Ayesha Ziana M. and Charles J. [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] presented an Analytic Hierarchy Process-Based Risk
Prioritization Model for application in agile development methodologies. The model provides for
the decomposition of risks and the formation of their hierarchy based on expert assessments,
enabling the justified allocation of resources for mitigating the most critical threats.
      </p>
      <p>
        The integrated approach of Samiul Alim Lesum et al. [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] – Project Leadership-Centric Risk
Mitigation Framework – focuses on the role of project leadership in reducing the impact of risks.
The model identifies key factors of effective leadership, including communication, adaptability, and
change management, as moderators between risks and project outcomes.
      </p>
      <p>
        Of particular note are the models and approaches proposed in the works of Oluwafemi Odu et
al. [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], David G. Rosado et al. [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], Benxiao Tang et al. [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ], and Hassan Saeed et al. [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. These studies
demonstrate complex yet practically oriented solutions for building risk management models that
encompass automated generation of security justifications, formalized integration into business
processes, context-dependent assessment of changes in open-source software, and systematic
integration of security requirements throughout the entire lifecycle of development. The results of
these works go beyond traditional classifications of risks and move toward building adaptive,
dynamic systems capable of responding to complex threats of the modern digital environment.
      </p>
      <p>
        In the study by Oluwafemi Odu et al. [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], a model for automated formation of security assurance
cases – Assurance Case Automation Model – is proposed, implemented on the basis of combining
templates and large transformer-based models, particularly GPT-like architectures (Fig. 1).
      </p>
      <p>This model makes it possible to form logically connected and formalized arguments confirming
the safety and reliability of software systems, based on standardized requirements and structured
input data. According to the results of the experimental study, automatically generated cases
covered up to 87% of relevant requirements that are usually defined manually by experts, which
confirms the high accuracy of the model in reproducing critically important information. In
addition, the model demonstrates the ability to detect contextual threats arising in specific
development environments, as well as adapt the structure of justification to the peculiarities of the
subject domain. Such an approach not only ensures the integrity of the argumentation system but
also significantly reduces the time required to form formalized security models.</p>
      <p>
        David G. Rosado et al. [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] proposed an integrated business process risk management model for
information security, based on object-oriented modelling, which provided clear identification of
critical assets, potential threats, vulnerabilities, and corresponding protective measures, formalised
in BPMN diagrams. The model included a system of risk metrics calculated using formal rules,
enabling precise determination of the risk level for each business process component. In addition, it
offered a higher level of transparency and control over changes in the execution environment of
business functions, which is particularly important for organisations with complex process
structures.
      </p>
      <p>Further research in this area confirmed the effectiveness of BPMN (Business Process Model and
Notation) for integrating risk assessment at the business process level. For example, MARISMA-BP
(MARISMA for Business Processes) provides a security risk template that enables the assessment
and management of risks directly within process models. This approach was supported by the
automated eMARISMA infrastructure, which allowed risk components to be identified, reused, and
dynamically assessed and managed. The application of MARISMA-BP in a real healthcare scenario
demonstrated its versatility and practical relevance, highlighting that BPMN diagrams, when
combined with risk patterns and automated tools, can significantly enhance the effectiveness of
risk management at the business process level.</p>
      <p>As a practical example of how BPMN diagrams can formalise risk management, a schematic
representation of the risk assessment and management process within a business process can be
considered. Such a diagram can be referred to as a “Business Process Risk Management BPMN
Diagram,” illustrating the sequence of tasks, decision-making checkpoints, and final events for
implementing control measures. This example demonstrated how a formalised representation of
the process enables systematic risk assessment and supported automated tools, such as
eMARISMA, for effective risk management.</p>
      <p>
        The CAPRA model (Context-Aware Patch Risk Assessment), presented by Benxiao Tang et al.
[
        <xref ref-type="bibr" rid="ref7">7</xref>
        ], is a context-oriented approach to managing risks of changes in open-source software. It
provides a multi-component analysis that considers structural information about modified code,
commit metadata, and dependencies between system components. The main tool for building the
model is graph neural networks (GNNs), which effectively model dependencies between changes.
The approach is complemented by a hybrid classification system that combines both static
(syntactic) and dynamic (contextual) features of changes. In empirical testing on the OpenSSL and
FFmpeg projects, the model achieved a precision of 0.82, recall of 0.76, and F1-score of 0.79,
significantly surpassing traditional baseline models. CAPRA also provides feedback in the form of
recommendations for strengthening testing, isolating critical changes, and restructuring unstable
code, which is particularly important in CI/CD practices. The model represents an effective
solution for implementing a risk-oriented change management strategy in distributed open-source
repositories.
      </p>
      <p>
        Hassan Saeed et al. [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] presented a model of systematic integration of security requirements
into all phases of the software development lifecycle – the Secure Requirements Integration Model.
The foundation of the model is the use of security requirement templates, which allows unifying
the specification process and reducing the number of errors in requirements. An important element
of the approach is the reuse of threat models – this ensures a reduction in the time required to
identify vulnerabilities at early stages of development. Within the study [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], over 100 scientific
sources were analyzed, enabling the authors to derive a typical structure of security requirements
as well as determine the stages at which it is most advisable to implement automated verification
tools. Special attention is paid to tools for automated risk analysis, which make it possible to
integrate protective mechanisms before the implementation of functionality begins. The practical
effectiveness of the model is confirmed by applied cases: defect elimination costs were reduced by
up to 30%, and overall system reliability increased by 25–40%, confirming the high applicability of
this approach to critical and large-scale projects.
      </p>
      <p>
        Wei et al. [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] introduced the engineering methodology Assurance Case Centric Engineering of
Safety–critical Systems (ACCESS), which is focused on the development of safety-critical systems
centred around model-based assurance cases. The core idea of this approach lied in the transition
from traditional, predominantly manual assurance documents to formalised, interlinked models
that ensure traceability to diverse engineering artifacts, such as architectural models, safety
analysis results, and system behaviour models. The methodology also incorporates formal methods
into the development process and enables automated evaluation of assurance both during system
development and at runtime. The authors emphasise the importance of supporting the evolution of
assurance cases throughout the system lifecycle, particularly in uncertain environments typical of
robotic and autonomous systems. The practical effectiveness of ACCESS is demonstrated through a
case study involving an Autonomous Underwater Vehicle (AUV), which confirms the applicability
of the methodology to complex, dynamic, and safety-critical systems.
      </p>
      <p>
        Bhatti et al. [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] presented a comprehensive review of the role of Graph Convolutional
Networks (GCNs) in the development of computational intelligence. The authors emphasised that
traditional Convolutional Neural Networks (CNNs) are limited to processing data in Euclidean
spaces, whereas GCNs enable working with graph structures, which are commonly encountered in
transportation, social, and communication networks. The study described the mechanisms of graph
convolution and pooling, which extend the capabilities of CNNs to handle non-Euclidean data.
Furthermore, the application of GCNs across various domains is summarised, including intelligent
recommendation systems, image processing, and knowledge ontology construction. The findings
indicated that GCNs are increasingly becoming a foundational technology for AI-oriented
communication networks, providing efficiency and scalability that traditional methods cannot
achieve.
      </p>
      <p>
        Trzecia [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] presented a study aimed at developing a sustainable risk management model for IT
projects using agile management methods. The author noted that in most publications on this
topic, the human factor is often underestimated, while excessive attention was given to formal
procedures. Based on an analysis of risks in IT projects managed with agile approaches, it was
found that alongside technological, hardware, and system aspects, the project team plays a key
role. The article presents the results of an empirical study, which included interviews with experts
(108 respondents) and surveys (123 participants), enabling the development of a risk management
model and the identification of six main risk-management domains, covering nearly 74% of all
potential risk factors. Furthermore, it was confirmed that fundamental processes such as risk factor
identification, impact assessment, and management of key risks were actively applied by managers
and team leaders in the practical implementation of IT projects.
      </p>
      <p>The assessment of IT governance maturity levels based on the COBIT 2019 framework,
conducted by Simatupang &amp; Fianty [12], demonstrated its applicability for consulting companies in
the information technology sector. The study identified issues with the formalisation of standard
operating procedures for documenting IT risks, as well as instances of local server downtime that
led to data loss. The authors’ recommendations focused on enhancing the effectiveness of risk
management and finding an optimal balance between the costs and benefits of IT risk controls.</p>
      <p>The application of the ISO 31000 framework for IT risk management in educational institutions
was examined by Putri &amp; Wijaya [13], who analysed the specific risks arising from the integration
of information technologies into the daily operations of institutions in Indonesia. The authors
focused on the procedures for risk assessment, analysis, evaluation, and treatment, which enabled
the identification of key threats to organisational processes. The findings indicated that the use of
ISO 31000 provides a foundation for developing risk management policies aimed at proactive
mitigation and reduction of potential negative impacts. The study emphasised that implementing
this methodology enhances the efficiency, effectiveness, and accessibility of educational
institutions, while simultaneously minimising potential disruptions related to IT infrastructure.</p>
      <p>Nkobane [14] conducted an analysis of the benefits and challenges of applying artificial
intelligence in corporate risk management, examining how AI integration is transforming
approaches to Enterprise Risk Management (ERM). Drawing on an analysis of integrated reports
from five leading companies listed on the Johannesburg Stock Exchange, as well as a systematic
literature review, the author demonstrated that AI algorithms can monitor risks, identify patterns,
and predict potential threats. The use of AI enables task automation, enhancing employees’ time
management efficiency and supporting problem-solving while reducing risks. Moreover, the study
emphasised that without proper risk assessment, AI technologies may become a source of
additional costs without delivering the expected benefits. The study concluded that the future of
ERM lies in the combination of artificial intelligence, automation, and human expertise – a
particularly relevant approach for small and medium-sized enterprises in South Africa, which have
yet to fully integrate AI into their risk management processes.</p>
      <p>A goal-analysis of risk management and information security approaches for small and
medium-sized enterprises (SMEs) was conducted by Al-Dosari &amp; Fetais [15], who examined the
effectiveness of existing IT frameworks in the context of rapid technological change. The authors
noted that traditional models, including NIST, although advantageous in some respects, are often
insufficiently suited to SMEs due to their abstract nature, vague recommendations, and limited
flexibility. Based on a systematic literature review, it was shown that SMEs require dynamic risk
management models that account for technological change. The study proposed the integration of
innovative methods such as system dynamics, machine learning, techno-economic, and
sociotechnical approaches to provide more flexible and comprehensive risk management. The
conclusions emphasised the urgency of developing adaptive, technology-oriented strategies that
significantly enhanced SME cybersecurity and establish more practical approaches to protecting
information systems.</p>
      <p>A comprehensive study on the evolution of information security strategies was conducted by Al
Hayajneh et al. [16], who examined contemporary approaches to risk assessment in the field of
information security. The authors emphasised that, in the context of global digitalisation,
information systems play a critical role not only in organisational operations but also in national
security, which underscores the increased focus on risk management methods. The article
addressed standards, legal mechanisms, and policies that provide a holistic approach to security
based on the principles of security engineering. The study differentiated between quantitative and
qualitative risk assessment methods and demonstrates the potential for their integration into a
unified framework model. The findings contributed to the development of more effective
information security strategies, highlighting the role of Information Security Management Systems
(ISMS), global challenges in risk classification, and the potential application of artificial intelligence
in information security.</p>
      <p>An integrated approach to cyber risk management using a cyber intelligence framework was
presented by El Amin et al. [17], who emphasised the need to consider threat dynamics for the
protection of critical infrastructure. The authors noted that traditional cyber risk management
often overlooks the motives, capabilities, and tactics of attackers, reducing the effectiveness of
protective measures. The study proposed a new framework that integrates cyber intelligence
information into risk assessment based on EBIOS Risk Manager, enabling proactive insights into
potential threats and informed decision-making to strengthen defence. The application of the
proposed model is demonstrated through a case study of a national telecommunications
organisation, highlighting the practical significance of integrating cyber intelligence and risk
management to enhance the security of critical systems.</p>
      <p>A risk assessment model based on fuzzy logic and neural networks for import and export
enterprises was reviewed by Luo et al. [18], focusing on the challenges of risk evaluation under
conditions of large data volumes and high information uncertainty. The authors emphasised that
traditional risk management methods are not always effective for customs authorities monitoring
import-export activities. The study demonstrates that the combined use of fuzzy logic and neural
networks enables the processing of ambiguous and uncertain data, enhancing the effectiveness of
risk assessment through the adaptive and learning capabilities of the models. Theoretical and
applied findings indicate the high suitability of such approaches for assessing risks in international
trade enterprises, providing valuable guidance for the further development of effective risk
management models.</p>
      <p>An adaptive risk-based access control model for the Internet of Things (IoT) was proposed by
Atlam et al. [19], combining fuzzy logic with expert evaluations to enhance the security of IoT
systems. The model assesses security risks for each access request by considering contextual
information about the user, action attributes, resource sensitivity, and the user’s risk history. Smart
contracts were employed to detect anomalous and malicious activities by monitoring user
behaviour during access sessions. Particular attention is given to the risk assessment process, with
the authors proposing the use of a fuzzy inference system incorporating expert evaluations as an
optimal method for constructing a risk-oriented access control model. This approach ensured
flexibility, scalability, and effective risk management in IoT environments.</p>
      <p>Overall, contemporary research in IT risk management and quality assurance demonstrated a
shift from narrowly focused methods to multidimensional and adaptive models that integrate
engineering, organisational, and cognitive approaches. The solutions presented encompass
neurofuzzy systems and multi-criteria prioritisation methods, as well as integrated business process
frameworks based on BPMN, automated security case generation using LLMs, and models
grounded in graph neural networks and cyber intelligence. This evolution reflects the drive among
researchers and practitioners to develop comprehensive mechanisms capable of responding to the
high dynamism and uncertainty of digital environments. At the same time, the increasing
complexity of these approaches necessitates greater attention to explainability, validation, and
alignment with specific application contexts, which will guide future scientific and practical
developments.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Materials and Methods</title>
      <p>The study is built on a synthesis of modern approaches to risk management in the field of
information technology. In this section, we present a classification of models that encompasses
both traditional mathematical methods and intelligent techniques based on machine learning.
Special attention is given to the formalization of risk assessment using mathematical relationships,









</p>
      <p>Intelligent models – include artificial neural networks, fuzzy logic, and transformer
architectures. They provide adaptability to changing conditions and enable automated
analysis of large datasets.</p>
      <p>Mathematical risk prediction models – rely on formal approaches that allow quantitative
evaluation of risk factors and integration of results into effort and cost planning.
Automated justification models – implemented using templates and large language models
(LLMs), providing high coverage of requirements and reducing the time needed to generate
security evidence.</p>
      <p>Integrated business process risk management models – focus on formalizing risk
assessment in the context of business processes using BPMN, improving the accuracy of
threat detection.</p>
      <p>Comprehensive lifecycle models – involve integrating security requirements at all stages of
development and applying automated verification tools.</p>
      <p>The identified models correspond to different methodological approaches:</p>
      <p>Analytic Hierarchy Process (AHP) – enables prioritization of risks based on expert
judgments.</p>
      <p>Process-oriented approach – provides risk assessment in the context of business processes
and functional units.</p>
      <p>Intelligent-analytical approach – relies on machine learning algorithms, including LLMs
and graph neural networks.</p>
      <p>Strategic-management approach – focuses on the role of managerial decisions and
leadership styles in risk mitigation.</p>
      <p>Lifecycle methodology – involves integrating security requirements at all phases of
software system development.roup the authors per affiliation.
which allows for the comparison of the effectiveness of different models within a unified
methodological framework.</p>
      <p>A systematic analysis of scientific research has identified several main types of models, differing
in construction logic and scope of application – from component-level to enterprise-level:</p>
      <p>On the basis of the presented models and methodological approaches, it is evident that the
effectiveness of risk management in IT systems is determined not only by the structural diversity
of the models but also by the selection of formalisation tools that enable quantitative assessment of
risk indicators. Accordingly, within the framework of methodological support, it is advisable to
employ a system of mathematical dependencies that ensures comparability and reproducibility of
results across different management levels.</p>
      <p>At a basic level, risk might be presented as multiplication of probability and potential impact:</p>
      <p>R= P × I , (1)
where R – the magnitude of risk P – the likelihood of a threat occurring, I – the expected impact
if it materializes. This representation forms a fundamental basis for the quantitative assessment of
risk, allowing a clear link to be established between the likelihood of its occurrence and the
severity of the consequences.</p>
      <p>Meanwhile, to enable comparison of heterogeneous risks across multiple processes or projects,
normalization is often employed:</p>
      <p>P × I
Rnorm= max ( P × I )
(2)
where Rnorm – the normalised risk value, P×I – the calculated risk value for a specific case,
max(P×I) – the highest value among all the risks considered</p>
      <p>A normalized metric allows risks to be prioritised systematically and justifiably, providing
transparency in management decisions when resources for their mitigation are limited.</p>
      <p>For quantitative risk assessment, a classical approach is the calculation of expected losses, which
formalises the potential damage from various events while taking their probabilities into account.
This model ensures transparency and reproducibility in risk evaluation and allows information on
probabilities and the magnitude of losses to be systematically organised, which is particularly
important for managing a portfolio of projects or business processes with multiple interrelated
risks.</p>
      <p>m
EL=∑ P j⋅ L j , (3)</p>
      <p>j=1
where Pj – the probability of an event occurring j, Lj – the magnitude of losses.</p>
      <p>For practical application in a process-oriented environment, it is convenient to use an
aggregated risk metric for a business process, which takes into account weighting coefficients for
critical assets:</p>
      <p>m
RBP=∑ w j⋅( P j × I j) , (4)</p>
      <p>j=1
where wj – the weighting coefficient of importance of a j asset, Pj – the likelihood of a threat, Ij –
its impact. This allows the significance of individual process elements for overall security to be
reflected and enables more accurate prioritisation of protective measures.</p>
      <p>Risk management often involves assessing not only the probability of an event occurring and its
potential losses, but also the subjective preferences and strategic objectives of the process
participants [20]. The expected utility function enables the integration of these aspects by
combining the probabilities of different scenarios with an evaluation of their value to the
organisation. This approach allows alternative risk situations to be compared not only in terms of
expected loss, but also in terms of expected gains or opportunity costs, which is particularly
important for making management decisions under conditions of limited resources and
uncertainty.</p>
      <p>n
U =∑ pi⋅u ( xi) , (5)</p>
      <p>i=1
where pi – the probability of a scenario occurring i, u(xi) – the utility function for the outcome
xi.</p>
      <p>Risk management optimisation involves balancing the effectiveness of protective measures with
their cost. A risk control cost function allows these expenses to be formalised and helps determine
which actions are reasonable to implement to reduce overall risk. The use of implementation
indicators aids in modelling different combinations of control actions and in identifying optimal
solutions from the perspective of financial resources and security.</p>
      <p>Rt=α ⋅ Rt − 1+(1 − α )⋅ Lt , (6)
where Rt – the updated risk assessment at a given point in time t, Rt−1 – the previous risk value,
Lt – the actual losses, α – the smoothing parameter (0 &lt; α &lt; 1).</p>
      <p>Risk management optimisation involves balancing the effectiveness of protective measures with
their cost. A risk control cost function allows these expenses to be formalised and helps determine
which actions are reasonable to implement to reduce overall risk. The use of implementation
indicators aids in modelling different combinations of control actions and in identifying optimal
solutions from the perspective of financial resources and security.</p>
      <p>r
C =∑ ck⋅ yk , (7)</p>
      <p>k=1
where ck – the cost of a control action k, yk ∈ {0, 1} – the indicator of the implementation of this
action.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Results</title>
      <p>Modern classification of models and approaches to IT risk management and quality assurance
encompasses a wide spectrum, ranging from formalised engineering methodologies to intelligent
adaptive systems. Their interconnection allows adjusting risk management practices to
technological dynamics while ensuring efficiency in achieving software quality.</p>
      <p>A comparative analysis (Table 1) highlights not only the advantages and limitations of each
model but also their correlation with specific types of risks and contexts of implementation.</p>
      <p>To evaluate the effectiveness of intelligent risk management models, it is essential to compare
their quantitative performance according to well-established machine learning metrics. Precision
reflects the accuracy of positive predictions, Recall indicates the ability to capture all relevant risks,
and the F1-score balances both measures into a single performance indicator. By reviewing
reported results from recent studies, we observe that intelligent models such as ACAM, EBI, and
CAPRA outperform traditional baselines in terms of predictive accuracy. Figure 3 summarizes
these results in a comparative format, clearly showing the relative strengths of different
approaches and highlighting which models demonstrate the most consistent performance across
dynamic environments.</p>
      <p>In addition to standard evaluation metrics, it is crucial to assess how process-oriented and
lifecycle-integrated models impact practical aspects of IT project management. These models are
often evaluated in terms of cost reduction, defect prevention, system reliability, and overall risk
mitigation efficiency. Unlike purely intelligent approaches, they aim to embed security and risk
management measures into the entire project structure, from requirements engineering to
operational monitoring. Figure 4 presents a summary of reported percentage improvements
achieved by such models, emphasizing measurable benefits such as 30% reduction in defect
elimination costs, 25–40% growth in reliability, and significant increases in risk detection accuracy.
These findings confirm the practical relevance of process-based frameworks in regulated enterprise
contexts, where transparency and compliance are as important as adaptability.</p>
      <p>Quantitative results indicate that adaptive and automated models (AURAM, ACAM) achieve
adaptability of 85–90% and predictive precision above 0.91, while ACAM ensures up to 87%
coverage of assurance requirements. EBI demonstrated Recall of 0.89 and Precision of 0.93, though
validation costs limit scalability. SDRT reached an F1-score below 0.82 in complex
multicomponent systems, whereas GARI achieved 0.89, confirming its value in CI/CD integration.</p>
      <p>These comparative results are particularly important for industrial contexts.</p>
      <p>High precision and recall values reported for intelligent models such as ACAM, EBI, GARI, and
CAPRA indicate their ability to accurately detect risks and predict failures in dynamic
environments, which directly supports continuous delivery practices in large-scale software
development.</p>
      <p>Meanwhile, lifecycle-oriented and process-based models (e.g., Secure Requirements Integration
Model, BPMN frameworks) demonstrate measurable improvements in reliability (+25–40%), cost
reduction (−30%), and risk detection accuracy (+30%), which are critical metrics for ensuring
compliance, reducing operational expenses, and increasing the resilience of enterprise systems.</p>
      <p>These findings confirm that the proposed classification can guide industry practitioners in
selecting risk management strategies aligned with their operational and regulatory constraints.</p>
      <p>Lifecycle-oriented models (Secure Requirements Integration Model) reduced defect elimination
costs by 30% and improved reliability by 25–40%. Process-oriented frameworks (Rosado et al.)
increased risk detection accuracy by 30%, while MARISMA-BP confirmed versatility in healthcare
[21]. Dynamic risk models improved adaptability by 35%, and GNN-based CAPRA reached an
F1score of 0.79 on large-scale projects, surpassing static methods.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Discussions</title>
      <p>The results demonstrate that risk management effectiveness is determined not only by
architectural features of models but also by their alignment with specific project requirements.
Adaptive and intelligent models (AURAM, ACAM, GARI, CAPRA) proved most effective in
dynamic environments with rapidly changing conditions. In contrast, lifecycle-oriented and
process-based approaches (Secure Requirements Integration Model, BPMN frameworks) are more
suitable in regulated contexts that prioritise transparency, compliance, and systematic control.</p>
      <p>For the first time, a systematic classification of IT risk management models into four categories
– intelligent, mathematical, integrated, and comprehensive – has been formulated, enabling
structured comparison of their strengths and limitations. This taxonomy differs from prior works
by unifying both classical mathematical approaches and computational intelligence methods within
a single framework tailored to IT project environments.</p>
      <p>In addition, the study has further developed the concept of adaptive models that integrate
formal mathematical dependencies with intelligent automation (LLMs, GNNs, neuro-fuzzy logic).
Such approaches not only identify threats but also dynamically adjust risk response strategies in
real time, which reflects the requirements of DevSecOps and CI/CD practices.</p>
      <p>Another contribution lies in the advancement of decision-support mechanisms: risk
management has acquired further development through the integration of predictive analytics,
automated verification, and BPMN-based formalisation. This combination forms a foundation for
intelligent decision-support systems capable of detecting, classifying, and recommending optimal
responses to risks.</p>
      <p>Thus, the discussion highlights the novelty of the study in uniting diverse methodologies,
presenting measurable empirical results, and positioning computational intelligence as a driver for
next-generation risk management solutions.</p>
      <p>Although the study provides a comprehensive classification and comparative analysis of IT risk
management models, it is limited by the use of secondary data and reported metrics from existing
studies rather than results from direct industrial experiments. Furthermore, the heterogeneity of
datasets and evaluation methodologies across the analysed works may introduce bias in comparing
their effectiveness.</p>
      <p>Future research should focus on validating the proposed taxonomy through empirical testing in
real enterprise environments, as well as on developing hybrid frameworks that combine
explainable AI methods with formal risk assessment models to enhance transparency and
trustworthiness.</p>
    </sec>
    <sec id="sec-6">
      <title>6. Conclusions</title>
      <p>Summarising the findings, adaptive and automated models (AURAM, ACAM, GARI) have proven
most effective in dynamic IT environments, while lifecycle-integrated and process-based
frameworks provide higher efficiency in regulated contexts. The proposed classification of models
and methodological approaches offers a holistic basis for selecting risk management strategies in
accordance with project-specific requirements, thereby supporting both software quality assurance
and organisational resilience.</p>
    </sec>
    <sec id="sec-7">
      <title>Declaration on Generative AI</title>
      <p>During the preparation of this work, the authors used ChatGPT for grammar and spelling
checks, as well as for improving the clarity of certain passages. After using this tool, the authors
reviewed and edited the content as needed and take full responsibility for the publication’s content.
[12] S. C. I. Simatupang, M. I. Fianty, Assessment of Capability Levels and Improvement
Recommendations Using COBIT 2019 for the IT Consulting Industry. G-Tech: Jurnal
Teknologi Terapan, 7(4) (2023) 1391-1400. doi: 10.33379/gtech.v7i4.3141.
[13] N. L. Putri, A. F. Wijaya, Information technology risk management in educational institutions
using ISO 31000 framework. Journal of Information Systems and Informatics, 5(2) (2023)
630-649. doi: 10.51519/journalisi.v5i2.468.
[14] J. G. Nkobane, The Benefits and Challenges of Utilising Artificial Intelligence in Enterprise
Risk Management. In: Adelowotan, M., Leke, C.A. (eds) Artificial Intelligence in Accounting,
Auditing and Finance. Contributions to Finance and Accounting. Springer, Cham. (2025)
doi: 10.1007/978-3-031-87368-3_10.
[15] K. AL-Dosari, N. Fetais, Risk-management framework and information-security systems for
small and medium enterprises (SMES): A meta-analysis approach. Electronics, 12(17) (2023)
3629. doi: 10.3390/electronics12173629.
[16] A. Al Hayajneh, H. N. Thakur, K. Thakur, The evolution of information security strategies: A
comprehensive investigation of infosec risk assessment in the contemporary information era.</p>
      <p>Computer and information science, 16(4) (2023) 1-20. doi: 10.5539/cis.v16n4p1.
[17] H. El Amin Samhat, A. E. Samhat, M. Chamoun, L. Oueidat, A. Feghali, An integrated
approach to cyber risk management with cyber threat intelligence framework to secure critical
infrastructure. Journal of Cybersecurity and Privacy, 4(2) (2024) 357-381.
doi: 10.3390/jcp4020018.
[18] N. Luo, H. Yu, Z. You, Y. Li, T. Zhou, Y. Jiao, N. Han, C. Liu, Z. Jiang, S. Qiao, Fuzzy logic and
neural network-based risk assessment model for import and export enterprises: A review.
Journal of Data Science and Intelligent Systems, 1(1) (2023) 2-11.
doi: 10.47852/bonviewJDSIS32021078.
[19] H. F. Atlam, R. J. Walters, G. B. Wills, J. Daniel, Fuzzy logic with expert judgment to
implement an adaptive risk-based access control model for IoT. Mobile Networks and
Applications, 26(6) (2021) 2545-2557. doi: 10.1007/s11036-019-01214-w.
[20] K. Ozbek, Adaptive risk assessments. Journal of Mathematical Economics, 106 (2023) 102843.</p>
      <p>doi: 10.1016/j.jmateco.2023.102843.
[21] F. Martnez, L. E. Sánchez, A. Santos Olmo, D. G. Rosado, E. Fernández Medina,
MARISMASHIPS: Un nuevo patrón de riesgos para el entorno marítimo basado en la metodología
MARISMA. In IX Jornadas Nacionales de Investigación En Ciberseguridad. Antonia M. Reina
Quintero. (2024) 334-341. URL:
https://idus.us.es/server/api/core/bitstreams/196c23ccd13e-4a69-ad19-b19b161ad655/content.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          [1]
          <string-name>
            <given-names>O. O.</given-names>
            <surname>Olusanya</surname>
          </string-name>
          ,
          <string-name>
            <given-names>R. G.</given-names>
            <surname>Jimoh</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Misra</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J. B.</given-names>
            <surname>Awotunde</surname>
          </string-name>
          ,
          <article-title>A neuro-fuzzy security risk assessment system for software development life cycle</article-title>
          .
          <source>Heliyon</source>
          ,
          <volume>10</volume>
          (
          <issue>13</issue>
          ) (
          <year>2024</year>
          )
          <article-title>e33495</article-title>
          . doi: 
          <volume>10</volume>
          .1016/j.heliyon.
          <year>2024</year>
          .e33495.
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          [2]
          <string-name>
            <given-names>R. S.</given-names>
            <surname>Dewi</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Y. S.</given-names>
            <surname>Dharmawan</surname>
          </string-name>
          .
          <article-title>A proposed model for embedding risk proportion in software development effort estimation</article-title>
          .
          <source>Procedia Computer Science</source>
          ,
          <volume>234</volume>
          (
          <year>2024</year>
          )
          <fpage>1777</fpage>
          -
          <lpage>1784</lpage>
          . doi: 
          <volume>10</volume>
          .1016/j.procs.
          <year>2024</year>
          .
          <volume>03</volume>
          .185.
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          [3]
          <string-name>
            <given-names>Z. M.</given-names>
            <surname>Ayesha</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J.</given-names>
            <surname>Charles</surname>
          </string-name>
          .
          <article-title>Prioritization of risks in agile software projects through an analytic hierarchy process approach</article-title>
          .
          <source>Procedia Computer Science</source>
          ,
          <volume>233</volume>
          (
          <year>2024</year>
          )
          <fpage>713</fpage>
          -
          <lpage>722</lpage>
          . doi: 
          <volume>10</volume>
          .1016/j.procs.
          <year>2024</year>
          .
          <volume>03</volume>
          .260.
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          [4]
          <string-name>
            <given-names>S. A.</given-names>
            <surname>Lesum</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S. R.</given-names>
            <surname>Akthar</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M. R.</given-names>
            <surname>Islam</surname>
          </string-name>
          ,
          <string-name>
            <given-names>F.</given-names>
            <surname>Sadia</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Hasan</surname>
          </string-name>
          ,
          <article-title>Project governance to improve the performance of software projects by mitigating the software risk factors: The moderating role of project leadership</article-title>
          .
          <source>Procedia Computer Science</source>
          ,
          <volume>239</volume>
          (
          <year>2024</year>
          )
          <fpage>1863</fpage>
          -
          <lpage>1870</lpage>
          . doi: 
          <volume>10</volume>
          .1016/j.procs.
          <year>2024</year>
          .
          <volume>06</volume>
          .368.
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          [5]
          <string-name>
            <given-names>O.</given-names>
            <surname>Odu</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A. B.</given-names>
            <surname>Belle</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Wang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Kpodjedo</surname>
          </string-name>
          ,
          <string-name>
            <given-names>T. C.</given-names>
            <surname>Lethbridge</surname>
          </string-name>
          ,
          <string-name>
            <given-names>H.</given-names>
            <surname>Hemmati</surname>
          </string-name>
          ,
          <article-title>Automatic instantiation of assurance cases from patterns using large language models</article-title>
          .
          <source>Journal of Systems and Software</source>
          ,
          <volume>222</volume>
          (
          <year>2025</year>
          )
          <article-title>112353</article-title>
          . doi: 
          <volume>10</volume>
          .1016/j.jss.
          <year>2025</year>
          .
          <volume>112353</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          [6]
          <string-name>
            <given-names>D. G.</given-names>
            <surname>Rosado</surname>
          </string-name>
          ,
          <string-name>
            <given-names>L. E.</given-names>
            <surname>Sánchez</surname>
          </string-name>
          , Á. J.
          <string-name>
            <surname>Varela-Vaca</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          <string-name>
            <surname>Santos-Olmo</surname>
            ,
            <given-names>M. T.</given-names>
          </string-name>
          <string-name>
            <surname>Gómez-López</surname>
          </string-name>
          , R. M. 
          <string-name>
            <surname>Gasca</surname>
            ,
            <given-names>E.</given-names>
          </string-name>
          <string-name>
            <surname>Fernández-Medina</surname>
          </string-name>
          ,
          <article-title>Enabling security risk assessment and management for business process models</article-title>
          .
          <source>Journal of Information Security and Applications</source>
          ,
          <volume>84</volume>
          (
          <year>2024</year>
          )
          <article-title>103829</article-title>
          . doi: 
          <volume>10</volume>
          .1016/j.jisa.
          <year>2024</year>
          .
          <volume>103829</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          [7]
          <string-name>
            <given-names>B.</given-names>
            <surname>Tang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Zhang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>F.</given-names>
            <surname>Zhu</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Ye</surname>
          </string-name>
          , CAPRA:
          <article-title>Context-aware patch risk assessment for detecting immature vulnerability in open-source software</article-title>
          .
          <source>Computers &amp; Security</source>
          ,
          <volume>157</volume>
          (
          <year>2025</year>
          )
          <article-title>104540</article-title>
          . doi: 
          <volume>10</volume>
          .1016/j.cose.
          <year>2025</year>
          .
          <volume>104540</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          [8]
          <string-name>
            <given-names>H.</given-names>
            <surname>Saeed</surname>
          </string-name>
          ,
          <string-name>
            <surname>I. Shafi</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J.</given-names>
            <surname>Ahmad</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A. A.</given-names>
            <surname>Khan</surname>
          </string-name>
          ,
          <string-name>
            <given-names>T.</given-names>
            <surname>Khurshaid</surname>
          </string-name>
          ,
          <string-name>
            <surname>I. Ashraf</surname>
          </string-name>
          ,
          <article-title>Review of techniques for integrating security in software development lifecycle</article-title>
          .
          <source>Computers, Materials &amp; Continua</source>
          ,
          <volume>82</volume>
          (
          <issue>1</issue>
          ) (
          <year>2025</year>
          )
          <fpage>139</fpage>
          -
          <lpage>172</lpage>
          . doi: 
          <volume>10</volume>
          .32604/cmc.
          <year>2024</year>
          .
          <volume>057587</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          [9]
          <string-name>
            <given-names>R.</given-names>
            <surname>Wei</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Foster</surname>
          </string-name>
          ,
          <string-name>
            <given-names>H.</given-names>
            <surname>Mei</surname>
          </string-name>
          ,
          <string-name>
            <given-names>F.</given-names>
            <surname>Yan</surname>
          </string-name>
          ,
          <string-name>
            <given-names>R.</given-names>
            <surname>Yang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>I.</given-names>
            <surname>Habli</surname>
          </string-name>
          ,
          <string-name>
            <surname>C. O'Halloran</surname>
            ,
            <given-names>N.</given-names>
          </string-name>
          <string-name>
            <surname>Tudor</surname>
            ,
            <given-names>T.</given-names>
          </string-name>
          <string-name>
            <surname>Kelly</surname>
            ,
            <given-names>Y.</given-names>
          </string-name>
           
          <article-title>Nemouchi, ACCESS: Assurance case centric engineering of safety-critical systems</article-title>
          .
          <source>Journal of Systems and Software</source>
          ,
          <volume>213</volume>
          (
          <year>2024</year>
          )
          <article-title>112034</article-title>
          . doi: 
          <volume>10</volume>
          .1016/j.jss.
          <year>2024</year>
          .
          <volume>112034</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>
          [10]
          <string-name>
            <given-names>U. A.</given-names>
            <surname>Bhatti</surname>
          </string-name>
          ,
          <string-name>
            <given-names>H.</given-names>
            <surname>Tang</surname>
          </string-name>
          , G. Wu,
          <string-name>
            <given-names>S.</given-names>
            <surname>Marjan</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Hussain</surname>
          </string-name>
          ,
          <article-title>Deep learning with graph convolutional networks: An overview and latest applications in computational intelligence</article-title>
          .
          <source>International Journal of Intelligent Systems</source>
          ,
          <volume>1</volume>
          (
          <year>2023</year>
          )
          <article-title>8342104</article-title>
          . doi: 
          <volume>10</volume>
          .1155/
          <year>2023</year>
          /8342104.
        </mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation>
          [11]
          <string-name>
            <given-names>M.</given-names>
            <surname>Trzeciak</surname>
          </string-name>
          ,
          <article-title>Sustainable risk management in it enterprises</article-title>
          .
          <source>Risks</source>
          ,
          <volume>9</volume>
          (
          <issue>7</issue>
          ) (
          <year>2021</year>
          )
          <article-title>135</article-title>
          . doi: 
          <volume>10</volume>
          .3390/risks9070135.
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>