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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Eastern-European Journal of
Enterprise Technologies 5 (13</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.1109/CSIT56902.2022.10000556</article-id>
      <title-group>
        <article-title>The influence of human factor on data processing algorithms during formation of enterprise s business processes</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Serhii Smerichevskyi</string-name>
          <email>serhii.smerichevskyi@npp.nau.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Zarina Poberezhna</string-name>
          <email>zarina_www@ukr.net</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Maksym Zaliskyi</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oksana Chumak</string-name>
          <email>oksana.chumak@npp.nau.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Khadija Slimani</string-name>
          <email>pr.kslimani@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Algorithms of Data Processing</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>LDR Laboratory, Higher School of Computer Science</institution>
          ,
          <addr-line>Electronics and Automation (ESIEA), Paris, 75000</addr-line>
          ,
          <country country="FR">France</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>National Aviation University</institution>
          ,
          <addr-line>Liubomyra Huzara Ave., 1, Kyiv, 03058</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2022</year>
      </pub-date>
      <volume>922</volume>
      <fpage>0000</fpage>
      <lpage>0003</lpage>
      <abstract>
        <p>The object of the study is the process of human factor influence on data processing algorithms in business processes of an enterprise. The main problem that was solved in the course of the study is the need to analyze the theoretical foundations, as well as to develop scientific and methodological recommendations for determining the influence of the human factor on data processing algorithms in the formation of business processes of an enterprise. It has been established that the influence of human participation on data processing algorithms for the development of business processes at enterprises is an important issue in the modern era of digital transformation. Effective business processes largely depend on rational data processing to ensure uninterrupted operation at the enterprise level. It is determined that the data processing algorithm for the formation of enterprise business processes is a structured set of actions or operations designed to collect, analyze, process and interpret information to make informed management decisions. The paper presents an interpretation of examples of the influence of certain human factors on the relevant data processing algorithms for the formation of certain business processes of an enterprise. The most important economic, social, ethical and technical consequences of the human factor influence on the development of data processing algorithms for the formation of business processes of enterprise are systematized. It is substantiated that the influence of the human factor in the creation of data processing algorithms has both a positive and negative impact on the business processes of enterprise. The correct choice and adjustment of algorithms can significantly increase the efficiency of resources, while errors or biases can lead to financial failures. The paper develops an algorithmic model of data processing for the formation of enterprise business processes consisting of several key stages and proves that at each of these stages the human factor plays a significant role, which can both positively and negatively affect the results of algorithms implementation.</p>
      </abstract>
      <kwd-group>
        <kwd>human factor</kwd>
        <kwd>data processing algorithms</kwd>
        <kwd>business processes</kwd>
        <kwd>management decision</kwd>
        <kwd>artificial intelligence</kwd>
        <kwd>automated control system1</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>The choice of the latest data processing methods and algorithms is crucial for the formation of
modern business processes in an organization. In the modern era, relevant data has become one of
the most valuable resources, so it is crucial for businesses to have the skills to analyze and use it
effectively. With the help of advanced technologies such as artificial intelligence, machine learning,
and big data analytics, it is now possible to obtain valuable information in a short period of time,
which helps in the decision-making process [1, 2]. Using these approaches, organizations can
optimize their operations, increase efficiency and reduce costs [3, 4]. In addition, they allow them to
anticipate changes in the market environment and consumer behavior, which is crucial for
formulating effective strategies. Advanced data processing methods help automate repetitive tasks
and reduce the likelihood of human error [5, 6]. Therefore, the automation of business processes has
a positive impact on the performance of the enterprise and increases the need for their evaluation in
terms of various areas of activity (procurement, finance, personnel, sales, and marketing) [7]. This
increases the adaptability of the enterprise, allowing them to respond quickly to market fluctuations
and effectively overcome new obstacles. Modern methods also help to combine different data sources
and offer more accurate and comprehensive analysis [8]. In general, their use provides the company
with a competitive advantage and creates new opportunities for growth.</p>
      <p>Taking into account the influence of the human factor on data processing algorithms is a crucial
aspect in shaping the business processes of an enterprise [9]. Even though many tasks have been
automated, the human factor can still affect the accuracy of algorithms due to possible errors, biases,
or misinterpretation of data [10]. Algorithms are not perfect, and their success depends to a large
extent on how they are configured and the information they are "taught" to use. The choices made
at the data preparation and analysis stages can have a significant impact on the results, which
ultimately affect business operations. Therefore, taking into account the human factor is crucial for
creating reliable and efficient business procedures. This ensures that technological capabilities are
fully integrated with human intuition and experience, which increases the overall competitiveness
of the enterprise.</p>
    </sec>
    <sec id="sec-2">
      <title>2. State-of-the-art and the statement of the problem</title>
      <p>The actual issues of how the human factor affects the development of algorithms for the flow and
management of business processes in enterprises have not been systematically studied in the
scientific researches. The current state of scientific research is scattered and lacks a comprehensive
approach, with most studies in this area focusing on technical details, often ignoring the impact of
human choices and the presence of biases that can affect the results. This approach makes it difficult
to create reliable business procedures that take into account the interaction between technology and
human factors. The lack of comprehensive research hinders the development of adaptive algorithms
that can take into account behavioral factors. Thus, there is a clear need for more comprehensive
research in this area to improve business processes and increase their efficiency.</p>
      <p>The research [11] emphasizes the importance of developing artificial intelligence, which provides
an impetus for the growth of human welfare. Author argues that algorithms used in business
processes should take into account not only efficiency but also ethical issues. The human factor can
affect the programming and execution of algorithms, making it crucial to establish guidelines for
decision-making.</p>
      <p>The paper [12] examines the impact of human biases on the creation and operation of algorithms,
particularly in the field of machine learning. It is established that even effective algorithms can lead
to unfair results if they are based on false data or contain certain biases. The author emphasizes the
importance of implementing effective controls to prevent the threat of human error from interfering
with the reliability of automated systems.</p>
      <p>The scientific publication [13] defines the interaction of human behavior with artificial
intelligence, with a special emphasis on the social consequences of these interactions. It is
determined that algorithms should take into account the behavior of human and adjust accordingly,
and not rely solely on technical parameters.</p>
      <p>The paper [14] considers the importance of making algorithms understandable and reliable for
their successful integration into business processes, as the enterprise s personnel must understand
the results they produce and be confident in them.</p>
      <p>The scientific paper [15] identifies certain biases and errors from human influence that can be
transferred to computer programs and lead to unfair or incorrect results.</p>
      <p>The research [16] focuses on understanding how the human factors affects the efficiency and
speed of algorithms used in different business settings. It also emphasizes the importance of human
factors and algorithms working together in harmony to reduce the likelihood of errors.</p>
      <p>The scientific paper [17] emphasizes the vulnerability of human influence, as automated systems
based on data algorithms that reduce the number of errors have a greater impact.</p>
      <p>The authors of paper [18] analyzed the widespread use of cyber-physical systems as a new
mechanism and a way to achieve a new, higher standard of living. The peculiarities of the human
factor s influence on the level of economic security of an enterprise were studied in [19]. The author
outlined the parameters for using the term "human factor" in the functioning of socio-economic
systems. The scientific publication [20] focuses the attention of scientists on the problems of the
human factor s influence on risk management in economic activity. The authors substantiate that
executives and managers of enterprises should examine themselves, their actions and decisions,
develop rational approaches and get rid of irrational actions. The authors of publications [21, 22]
consider the issues of improving the efficiency of business processes at a manufacturing enterprise,
where one of the main factors is the influence of the human factor on the activities of the enterprise
as a whole and business processes in particular. Some mathematical issues of analyzing the influence
of human factor are discussed in [23, 24].</p>
      <p>Thus, the presented scientific papers demonstrate various aspects of the human factor s influence
on data processing algorithms and emphasize the importance of taking into account human decisions
when forming business processes.</p>
      <p>It should be noted that the multidirectionality and ambiguity of the presented approaches requires
further in-depth research to create a balanced and sound methodology in the chosen context. As a
result, consider the study of the issues of the human factor s influence on data processing algorithms
during the formation of enterprise s business processes to be a key task of improving the efficiency
of the enterprise as a whole.</p>
      <p>Efficient business processes rely heavily on efficient data processing to ensure smooth operations
at the enterprise level. In competitive business environment, organizations rely on timely and
accurate information as a valuable resource for making informed decisions. High-quality data
processing allows management to quickly adapt to market fluctuations, open up new perspectives,
and mitigate potential threats. In addition, a logical approach to data processing helps to optimize
internal operations, increase efficiency, and minimize costs.</p>
      <p>Algorithms for processing large amounts of data allow to quickly analyze large the information,
which helps in strategic planning. An important aspect is to incorporate these algorithms into the
enterprise s normal operations to ensure flexibility and adaptability. In addition, rational data
processing allows for accurate forecasts of business growth and market position. Intelligent
technologies, such as the Internet of Things (IoT), Big Data (BD), artificial intelligence (AI), machine
learning (ML), virtual and augmented reality (AR/VR), and BIM technologies are important in
planning the activities of an enterprise and are a prerequisite for ensuring its sustainable operation
and development in the market [25, 26].</p>
      <p>The introduction of advanced data processing technologies, such as artificial intelligence and
machine learning, provides a unique competitive advantage [27]. By applying a rational approach,
an enterprise can ensure that it avoids information chaos and achieves greater efficiency in its
business processes [28]. As a result, data processing plays a crucial role in the sustainable growth of
the enterprise [29].</p>
      <p>The purpose of the study is to analyze the theoretical foundations and develop scientific and
methodological recommendations for determining the impact of the human factor on data processing
algorithms during the formation of enterprise s business processes.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Materials and methods</title>
      <p>In the process of scientific research of the human factor impact on data processing algorithms during
the formation of enterprise s business processes, it is advisable to use a combination of quantitative
and qualitative methods. One of the main methods is modeling, which allows creating simulations
of various scenarios of interaction between the human factor and algorithms to determine potential
risks and the effectiveness of solutions [30]. Experimental research will help test hypotheses about
the impact of human decisions on the accuracy and quality of algorithms in real-world conditions.</p>
      <p>For a deeper understanding of the interaction of the human factor and the construction of
algorithms, it is worth applying a systematic approach that helps to consider business processes as
a complex system, where technological and human elements interact. The comparative analysis
method will help to identify differences in the impact of the human factor on algorithms in different
industries and enterprises. Correlation studies can reveal the relationship between the level of
human involvement in processes and the success of business processes. At the same time, the case
study method will allow to examine real-life examples of companies that have implemented
humancentered algorithms and evaluate their experience.</p>
      <p>Thus, to understand how the human factor affects the development of business processes in an
organization, a comprehensive and structured approach using multiple scientific methods is
required. By using both quantitative and qualitative methods, researchers can not only examine the
technical aspects of how human influence interacts with algorithms, but also gain a more complete
understanding of the behavioral and social factors at play.</p>
      <p>A systems approach allows to understand how technological and human factors affect the
efficiency of business processes. Modern business structures and industrial organizations make
significant profits by using innovations in their business processes to increase the productivity of
their tasks [31]. By combining these methods, businesses can achieve more accurate results and
create adaptive and effective solutions.</p>
      <p>The human factor has a significant impact on the development of data processing algorithms for
the formation of business processes. First of all, human biases can inadvertently penetrate algorithms
when they are created or customized [32]. This can lead to incorrect results or unfair choices,
especially if the data used to train the algorithms has historical inaccuracies or biases. Also, the
effectiveness of algorithmic decision-making depends on the ability of people to accurately
understand and believe in the results. If the algorithm is unclear or difficult to understand, it is likely
that users will have difficulty utilizing its functions.</p>
      <p>The use of monitoring and controlling the consistency of estimates that can be generated from
the processed probability system allows to identify scenarios with the least impact of errors in
algorithms [33]. In addition, human knowledge and experience is often required to fine-tune and
improve algorithms, as the business environment is constantly changing and requires constant
adjustment of algorithms to new circumstances [34]. Finally, algorithms must take into account
ethical and social implications, which are also influenced by the human behavior.</p>
      <p>Based on the results of the study, it is possible to present an interpretation of examples of the
influence of individual human factors on the relevant data processing algorithms during the
formation of certain enterprise s business processes (Table 1).</p>
      <p>Thus, Table 1 shows that the human factor plays a crucial role in determining the effectiveness
of algorithms for processing certain business processes of an enterprise. Human behavioral errors,
personal biases, and inadequate training can have a harmful effect on the results of algorithmic
processing, leading to a decrease in productivity and decision-making accuracy. The use of
information systems also helps to reduce the enterprise s costs for spare parts and materials through
more accurate accounting and forecasting of needs [35, 36].</p>
      <p>At the same time, ethical considerations and deliberate selection of criteria are crucial to ensure
accountability and trust in automated systems. As a result, it is crucial to take into account and
eliminate the influence of the human factor in order to effectively incorporate algorithms into
business processes. The use of digital tools in management allows finding an individual approach to
each client, which increases customer satisfaction and loyalty. This approach helps to increase sales
and reduce customer losses [37].</p>
      <p>The most important economic, social, ethical, and technical consequences of the human factor
influence on the development of data processing algorithms during the formation of enterprise s
business processes are presented in Table 2.</p>
      <p>An example of human Description of the impact Business process
factor influence
Biases in the selection Human behavior can unconsciously Automated
decisionof data for algorithm select data that reflects their biases, making (recruitment)
training leading to erroneous results
Incorrect Users may misinterpret data or Sales analytics and demand
interpretation of the algorithm results due to low technical forecasting
results competence
Resistance to the Employees may resist the use of new Optimization of production
introduction of new algorithms because they are afraid of processes through
technologies automation or changes in their work automation
Incorrect algorithm Human behavior can inadequately Payment systems and
settings adjust the parameters of algorithms, financial management
which affects their efficiency
Ethical considerations The human factor includes adherence to Marketing analytics and
when using algorithms ethical standards, especially with regard personalization of
to data protection and customer privacy advertising campaigns
Distrust of automated Human behavior can lead to doubts Decision-making in
solutions about the accuracy of decisions made by procurement and inventory
algorithms, which reduces the management
effectiveness of their use
Entering incorrect Human errors in data entry can lead to CRM systems and customer
data incorrect algorithm training and data management
inaccurate results
Selection of criteria for Human behavior can choose the wrong Quality control of products
evaluating the performance indicators that do not and services
effectiveness of reflect real business results
algorithms
Interference with the Human behavior can interfere with the Supply chain and logistics
work of algorithms processes after the algorithms are management
through adjustments launched, which can disrupt their</p>
      <p>operation
Insufficient level of The lack of sufficient training of the staff Implementation of ERP
staff training in working with algorithms reduces the systems to integrate
effectiveness of their implementation management processes</p>
      <p>Thus, it can be stated that the influence of the human factor in the creation of data processing
algorithms has both a positive and negative impact on the business processes of an enterprise. The
right choice and customization of algorithms can significantly increase the efficiency of resources,
while mistakes or biases can lead to financial failures. Socially, the human factor influences
decisionmaking and can lead to resistance to change or social anxiety, but it also improves communication
and teamwork. Ethically, data bias or misuse of an algorithm can violate rights and privacy, while
adherence to ethical standards ensures fairness and builds trust. While human errors can lead to
failures and inaccuracies in algorithms, human expertise and skills are also crucial to improve and
refine them. Effective human factors management is therefore crucial to guarantee the successful
integration and use of algorithms in business operations.</p>
      <p>The algorithmic model of data processing for the formation of business processes of an enterprise
consists of several key stages. At each of these stages, the human factor plays a significant role,
which can both positively and negatively affect the results of the algorithms. A step-by-step
description of this model is shown in Figure 1 and Figure 2.</p>
      <p>Positive effects Negative consequences
1. Human intervention can improve 1. Human errors in data selection can
the accuracy of algorithm tuning to lead to financial losses due to
maximize profits. incorrect forecasts.
2. Optimization of algorithms based 2. Incorrect algorithm settings can
on human experience contributes to lead to increased transaction costs.
increased productivity. 3. Resistance to the introduction of
3. Businesses can invest in new new technologies can slow down
technologies to increase processing business modernization and reduce
efficiency and reduce costs. its competitiveness.
1. Human involvement can contribute 1. Employee resistance to the
to a better understanding of implementation of new algorithms
algorithms by staff. can create tension in the team and
2. Open dialogue about business affect productivity.
process automation with employees 2. Improper use of algorithms can
can reduce the fear of layoffs. lead to discrimination in personnel
3. Human experience helps to take decisions.
into account the cultural and social 3. Distrust of automated solutions
aspects of working with data. can reduce team efficiency.
1. Human experience can ensure that 1. Human bias can lead to the
algorithms are transparent to creation of unethical algorithms
employees and customers. discriminating certain groups.
2. An ethical approach to algorithm 2. Misuse of algorithms can violate
development takes into account the rights of employees or customers,
equality of opportunity for all. causing ethical conflicts.
3. Corporate culture of ethics can be 3. Manipulation of algorithms for
preserved through human personal gain may contradict
intervention. corporate ethical principles.
1. Human intervention can help to 1. Technical errors caused by human
identify technical errors in error can lead to algorithm failure
algorithms faster and more and data loss.
accurately and correct them. 2. Incorrect configuration or testing
2. Enterprise s specialists can adapt of algorithms due to human error can
algorithms to operate in difficult reduce their effectiveness.
conditions or specific technical 3. Improper choice of technical
environments. solutions for algorithms can lead to
3. Personnel's technical expertise can poor system performance.
optimize algorithms to achieve better
results.</p>
      <p>Thus, the presented model illustrates how the human factor can positively or negatively affect
the quality of algorithms and the overall efficiency of business processes at each stage of data
processing.</p>
      <sec id="sec-3-1">
        <title>Stage 1. Data collection</title>
      </sec>
      <sec id="sec-3-2">
        <title>Description of the stage</title>
        <p>Information is collected from various sources, such as internal enterprise systems (CRM,
ERP), external market data, social networks, customer surveys, and others</p>
      </sec>
      <sec id="sec-3-3">
        <title>Human factor influence</title>
        <p>The selection of data sources is carried out by enterprise specialists, which can affect the
completeness and accuracy of information. Bias or errors in data collection are possible</p>
      </sec>
      <sec id="sec-3-4">
        <title>Stage 2. Data pre-processing</title>
      </sec>
      <sec id="sec-3-5">
        <title>Description of the stage</title>
        <p>The data are cleaned of errors, duplication, and unnecessary elements; data are also
converted into a format suitable for further analysis</p>
      </sec>
      <sec id="sec-3-6">
        <title>Human factor influence</title>
        <p>Enterprise specialists who are responsible for data preparation may incorrectly clean or
filter information; it can lead to the loss of important details or to leave false data</p>
      </sec>
      <sec id="sec-3-7">
        <title>Stage 3. Data analysis</title>
      </sec>
      <sec id="sec-3-8">
        <title>Description of the stage</title>
        <p>The collected and processed data are analyzed using algorithms. The machine learning
methods, statistical analysis, modeling, and other approaches can be used to identify trends</p>
      </sec>
      <sec id="sec-3-9">
        <title>Human factor influence</title>
        <p>Analysts decide which models or algorithms to use for analysis. Choosing the wrong
algorithm can lead to inaccurate results. The risk of misinterpretation of results is possible</p>
        <p>Taking into account the influence of the human factor in creating data processing algorithms for
business processes is a crucial aspect of ensuring their effectiveness. The main evaluation criteria are
the accuracy of input data, the degree of bias in decision-making, and the ability to modify algorithms
in response to changes. The quality of algorithms is significantly influenced by staff performance,
learning speed, and team interaction. The level of employees trust in new technologies is a social
factor that affects the success of algorithmic solutions. Ethical principles include maintaining
confidentiality and avoiding discrimination. The knowledge of employees technical skills and their
ability to work with complex systems and big data play a crucial role in ensuring the stability and
reliability of processes. By assessing these parameters, we can make sure that the human factor is
taken into account when creating algorithms for business processes.</p>
      </sec>
      <sec id="sec-3-10">
        <title>Stage 4. Interpretation of results</title>
      </sec>
      <sec id="sec-3-11">
        <title>Description of the stage</title>
        <p>The obtained results must be correctly understood and presented in a form that supports
decision-making. This may include data visualization or creating reports for management</p>
      </sec>
      <sec id="sec-3-12">
        <title>Human factor influence</title>
        <p>Enterprise specialists interpret results, which can cause errors due to misunderstanding of
statistical models. Important aspects can be underestimated if there is no proper expertise</p>
      </sec>
      <sec id="sec-3-13">
        <title>Stage 5. Decision-making</title>
      </sec>
      <sec id="sec-3-14">
        <title>Description of the stage</title>
        <p>Based on the obtained results, management or responsible persons make decisions
regarding changes or optimization of business processes</p>
      </sec>
      <sec id="sec-3-15">
        <title>Human factor influence</title>
        <p>Human emotions, biases, or corporate interests can influence exactly how data are used to
make decisions. There is human influence on the data that supports their notions or goals</p>
      </sec>
      <sec id="sec-3-16">
        <title>Stage 6. Implementation of decisions</title>
      </sec>
      <sec id="sec-3-17">
        <title>Description of the stage</title>
        <p>Changes are implemented in the enterprise’s business processes based on the decisions
made. This may include automating processes, changing strategy, or optimizing resources</p>
      </sec>
      <sec id="sec-3-18">
        <title>Human factor influence</title>
        <p>Enterprise specialists may resist the introduction of new technologies or algorithms due to
fear of change or lack of confidence in their skills</p>
      </sec>
      <sec id="sec-3-19">
        <title>Stage 7. Monitoring and evaluation of results</title>
      </sec>
      <sec id="sec-3-20">
        <title>Description of the stage</title>
        <p>It is necessary to constantly monitor the results and evaluate the effectiveness of the
changes. This allows to make adjustments and improve decision-making algorithms</p>
      </sec>
      <sec id="sec-3-21">
        <title>Human factor influence</title>
        <p>Specialists may not analyze the results carefully or underestimate the need to make further
adjustments, which can lead to the decreasing the efficiency of the implemented changes</p>
      </sec>
      <sec id="sec-3-22">
        <title>Stage 8. Optimization and adaptation</title>
      </sec>
      <sec id="sec-3-23">
        <title>Description of the stage</title>
        <p>After evaluating the efficiency of algorithms and solutions, their further optimization takes
place to achieve better results and increase the efficiency of business processes</p>
      </sec>
      <sec id="sec-3-24">
        <title>Human factor influence</title>
        <p>Constant adaptation of algorithms requires the participation of personnel who are able to
identify new trends and problems. If staff are not involved in the improvement process or
have insufficient knowledge, this will slow down the development of the business</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Results and discussions</title>
      <p>Let s consider the issue of mathematical description of the human factor influence on the synthesis,
analysis and use of data processing algorithms in the business processes of an enterprise. We will
assume that the issues of algorithmic support are handled by a group of  of experts, which includes
high- and intermediate-level specialists (HS and IS) with certain knowledge and competencies, the
number of which is  and  . The level of skills and qualifications of each expert is characterized by
a subjective vector of probabilities of correct execution of individual procedures at different stages
of the algorithmic support model implementation [38, 39].</p>
      <p>
        For a complete description of correct and incorrect decisions by an expert, it is necessary to
introduce appropriate probability densities for the probability of correct execution of his actions [40].
Let s assume that the subjective probabilities of performing correct actions are described by a
uniform distribution and a beta distribution of the form:
(
        <xref ref-type="bibr" rid="ref1">1</xref>
        )
(
        <xref ref-type="bibr" rid="ref2">2</xref>
        )
(
        <xref ref-type="bibr" rid="ref3">3</xref>
        )
(
        <xref ref-type="bibr" rid="ref4">4</xref>
        )
(
        <xref ref-type="bibr" rid="ref5">5</xref>
        )
(
        <xref ref-type="bibr" rid="ref6">6</xref>
        )
(
        <xref ref-type="bibr" rid="ref7">7</xref>
        )
  ( ) =
  ( ) =
      </p>
      <p>1
 −</p>
      <p>,
 ( ,  ) =
 ( ) ( )
 ( +  )</p>
      <p>,
 ( ) = ∫   −1 −  .</p>
      <p>∞
0
 3( ) =      3−</p>
      <p>,
 3</p>
      <p>3
 =0
  ( ) = ∑  3( )  ( | ),
where   ( | ) is the conditional probability density function of the correct solution of  -th task, if
the project team includes  high-level experts. We can also present it as:
where  and  are the lower and upper limits of the ranges of variation of the probability of
performing correct actions by an expert, Β( ,  ) is the beta function, which is calculated according
to the equation:
where Γ( ) is the gamma function:</p>
      <p>We will assume that a team of three experts is randomly selected from a group of experts to solve
a data processing project problem. To determine the priori probability of possible options of expert
teams (by the number of HS in it), we will use a discrete distribution series. Then the a priori
probabilities in this series will be:
number of combinations  of  .
where  is the number of HS in the team, which is believed to be in the range from 0 to 3,    is the
The probability density function for solving one of the eight tasks (as shown in Figure 1 and
  ( | ) =

 ( | ,  ),   = 0,
2  ( | ,  ) +  
  ( | ,  ) + 2 
( | ,  )
( | ,  )
3
3
{


( | ,  ),   = 3,
,   = 1,
,   = 2,
where   ( | ,  ) and  
of  -th task by IS and HS.</p>
      <p>( | ,  ) are the conditional probability distributions of the correct solution</p>
      <p>The information obtained on the basis of   ( ) is the most complete. It can be used to find the
probability of a correct solution to the project task   of data processing. Let s assume that the task
is considered to be solved correctly if the total error rate of the expert team exceeds the threshold
level   ℎ. Then the probability of solving the problem correctly, taking into account the human
factor, will be:</p>
      <p>Let s consider an example of numerical calculations and mathematical modeling. We assume that
 = 20,  = 15,</p>
      <p>
        = 5. The threshold level of the probability of a correct solution to the design
problem   ℎ = 0.9. The conditional probability density function of performing correct actions of 
th task by IS and HS are the same for all tasks:
  ( | ,  ) =
 15(1 −  )2
 (
        <xref ref-type="bibr" rid="ref3">16,3</xref>
        )
      </p>
      <p>,

 ( | ,  ,</p>
      <p>( | ,  , 

) = 10</p>
      <p>The results of calculating the probability mass function are shown in Table 3.
(8)
(9)
(10)
(11)</p>
      <p>The results of calculating the final probability density function for the two options of conditional
probability density function for the case HS are shown in Figure 3 and Figure 4.</p>
      <p>n
o
i
t
c
n
u
f
y
t
i
s
n
e
d
y
t
i
l
i
b
a
b
o
r
p
e
h
T</p>
      <sec id="sec-4-1">
        <title>Function for high level of skills</title>
      </sec>
      <sec id="sec-4-2">
        <title>The final function</title>
      </sec>
      <sec id="sec-4-3">
        <title>Function for intermediate level of skills</title>
      </sec>
      <sec id="sec-4-4">
        <title>The probability of performing correct actions</title>
        <p>(Option 1).</p>
      </sec>
      <sec id="sec-4-5">
        <title>Function for high level of skills</title>
      </sec>
      <sec id="sec-4-6">
        <title>Function for intermediate level of skills</title>
      </sec>
      <sec id="sec-4-7">
        <title>The probability of performing correct actions</title>
        <p>Visual analysis of the graphs allows to conclude that the final probability density function is
complex. In addition, in the case of the first data set, we have a bimodal distribution. In general, the
probability of a correct solution to the problem, taking into account the human factor, is 0.817 and
0.813 for the first and second options, respectively.</p>
        <p>Figure 5 shows a graph of the dependence of the probability of a correct solution to a problem
with a human factor on the number of high-level experts in the group. It is obvious that the increase
in the number of highly qualified experts leads to decrease in the influence of the human factor on
the quality of solving data processing project.</p>
      </sec>
      <sec id="sec-4-8">
        <title>Option 2</title>
      </sec>
      <sec id="sec-4-9">
        <title>Option 1</title>
      </sec>
      <sec id="sec-4-10">
        <title>The number of experts with high skills</title>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions</title>
      <p>The results of the study of the influence of the human factor on the development of data processing
algorithms during the formation of enterprise s business processes show that this factor is crucial
and complex, playing a significant role in determining the quality and efficiency of making decisions.
Errors, prejudices, and lack of understanding can cause algorithms to malfunction and lead to
financial losses or irrational use of resources. The knowledge and skills of employees allow the
company to improve data accuracy and modify algorithms in accordance with changes in the internal
and external environment.</p>
      <p>It is established that the social aspect is crucial, since employees of an enterprise can both accept
the introduction of new algorithmic solutions and oppose changes that affect the efficiency of
existing business processes. In addition, the successful integration of algorithms into business
processes largely depends on trust in automated solutions and smooth interaction between
employees. Ethical issues, especially those related to privacy and algorithmic bias, require careful
monitoring and strict adherence to standards to prevent discrimination and social conflict. Technical
skills are crucial, as the ability of employees to work with data and technology directly affects the
performance of algorithms. Successful integration of new algorithms requires thorough training and
constant adjustments that take time and resources but bring long-term benefits to the enterprise.
Therefore, to achieve the best results in creating and utilizing data processing algorithms, it is crucial
to consider and handle the human factor throughout the process. Thus, the study emphasizes the
importance of adopting a holistic approach to managing human impact in algorithm development.
This includes not only technical training of employees but also the creation of an ethical and social
framework that encourages transparent and responsible use of algorithmic systems. This is the only
way to achieve a balance between automating business processes and taking into account the human
factor in business strategy development.
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