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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Modelling the process of forming the intelligent systems design quality⋆</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Alona Kudriashova</string-name>
          <email>alona.v.kudriashova@lpnu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Iryna Pikh</string-name>
          <email>iryna.v.pikh@lpnu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vsevolod Senkivskyy</string-name>
          <email>vsevolod.m.senkivskyi@lpnu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oleksii Bilyk</string-name>
          <email>oleksii.z.bilyk@lpnu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          ,
          <addr-line>Vitaly Levashenko</addr-line>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Lviv Polytechnic National University</institution>
          ,
          <addr-line>Stepan Bandera Str., 12, Lviv, 79013, Ukraine 2</addr-line>
        </aff>
      </contrib-group>
      <abstract>
        <p>The relevance of the issue of modelling the processes of forming the intelligent systems design quality is driven by the rapid development of information technology, the increasing complexity of digital products and the growing demands for user experience. In modern conditions, the effective functioning of intelligent systems directly depends on the quality of their design, which is not only an aesthetic or functional element, but also a complex characteristic that includes ergonomics, accessibility, inclusiveness, cognitive clarity and adaptability to user needs. This necessitates a formalised approach to structuring knowledge in this area and a systematic assessment of the factors that affect the quality of design of such systems. The study uses an ontological approach that provides a structured representation of knowledge about the subject area, formalises the relationships between key concepts and supports decision-making processes in the design of intelligent systems. An ontological class graph has been developed to reflect the model of the design quality formation process. This graph enables the integration of a set of multi-level influence factors into a unified, coordinated system. The functional sets of factors that determine the quality of design of intelligent systems are identified. The key ones include: ergonomic and cognitive aspects of user interaction with the system, principles of accessibility and inclusiveness, as well as quality indicators of information architecture and visual design. The relationships between these factors are formalised using the predicate logic, which made it possible to implement their multi-level ranking in accordance with the priority of influence on the quality of the final product. On the basis of the obtained data, using the methodology of structural analysis, a multilevel model of the priority influence of these factors on the process of forming the quality of design of intelligent systems is built. The model takes into account the hierarchical structure of functional blocks, which allows flexible adaptation to specific development requirements and provides a holistic view of the factors that shape the quality of design solutions in the context of intelligent technologies.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;intelligent system</kwd>
        <kwd>design quality</kwd>
        <kwd>ontological class graph</kwd>
        <kwd>factors of system design quality</kwd>
        <kwd>predicate logic</kwd>
        <kwd>ranking of factors</kwd>
        <kwd>methodology of structural analysis</kwd>
        <kwd>multilevel model 1</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        With digital technologies rapidly advancing and computing systems expanding their capabilities,
intelligent solutions play a key role in transforming the way people interact with the digital
environment. The use of artificial intelligence, machine learning, and adaptive algorithms significantly
changes not only the functional content of software solutions but also the principles of building their
interface structure [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ]. That is why the quality of design of intelligent systems is becoming not a
      </p>
      <p>0000-0002-0496-1381 (A. Kudriashova); 0000-0002-9909-8444 (I. Pikh); 0000-0002-4510-540X (V. Senkivskyy);
00000003-1932-3603 (V. Levashenko); 0000-0001-7720-6590 (M. Kadyliak); 0009-0002-1355-2333 (O. Bilyk)
secondary concern, but a matter systemic importance, as it affects the overall efficiency of use,
security, ethics, user confidence in the system and the level of its integration into real processes [3 5].</p>
      <p>
        In this context, the process of forming design quality cannot be considered as a set of empirical
decisions or subjective design preferences, as modelling plays an important role, i.e. building a
conceptually and formally sound system that takes into account a wide range of interrelated factors,
including cognitive, technological, social and psychological parameters [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. Such a model should
describe the structural and dynamic dependencies between the design quality assessment criteria and
the characteristics of an intelligent system, providing an opportunity for objective analysis,
comparison, and improvement of design solutions [
        <xref ref-type="bibr" rid="ref7 ref8 ref9">7-9</xref>
        ].
      </p>
      <p>
        The formation of the design quality of intelligent systems is based on the integration of three key
sets of factors, each of which represents a separate aspect of the interaction between the user and
the intelligent environment [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. The first set includes factors of ergonomics and cognitive principles
that determine the physiological, psychophysical, and intellectual usability. These factors include the
optimal placement of controls, reducing the burden on eyesight and attention, and the interface's
compliance with natural mechanisms of perception and information processing [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. Particular
attention is paid to the cognitive load, which should remain at an acceptable level to ensure quick
mastery of the system, reduce the risk of erroneous actions and support the user in the
decisionmaking process. In addition, this group of factors takes into account the use of users' mental models,
logic of thinking, expectations, and behavioural patterns, which allows for a high level of intuitive
understanding of the interface [
        <xref ref-type="bibr" rid="ref12 ref13">12, 13</xref>
        ].
      </p>
      <p>
        The second set includes accessibility and inclusivity factors that determine the ability of a system
to be equally suitable for the widest range of users, regardless of their physical, sensory, cognitive,
or social characteristics [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ]. Accessibility involves the implementation of technical and design
solutions that provide equal access to the system's functionality for people with visual, hearing, motor
or other disabilities. In this context, compatibility with assistive technologies, the use of contrasting
colour schemes, scalability of fonts, the availability of alternative text for visual elements, and
flexibility in the way information is presented are important. Inclusiveness, in turn, focuses on the
cultural, age, linguistic and social diversity of the audience [
        <xref ref-type="bibr" rid="ref15 ref16">15, 16</xref>
        ]. It ensures that the needs of
vulnerable groups, including the elderly, children, or those with limited digital experience, are taken into
account. In this way, an inclusive approach to the design of intelligent systems creates the
preconditions for ethical, open and humanistic digital interaction.
      </p>
      <p>
        The third set of factors relates to the quality of information architecture and visual design, which
determine the structural organisation, navigation logic, and aesthetic appeal of the interface.
Information architecture includes the principles of data organisation, content placement, categorisation
of functions, and development of a logical hierarchy of navigation paths [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ]. It should ensure quick
and accurate orientation of the user in the system, reduce the time spent searching for the necessary
information and avoid cognitive confusion. Visual design, in its turn, determines the graphic style,
colour palette, typography, spatial organisation of the interface, as well as the consistency of graphic
elements among themselves. Its goal is to create an aesthetically balanced, emotionally appealing,
and functionally appropriate environment that supports and enhances the user experience. Visual
hierarchy, consistency of fonts and colours, rhythm of interface elements, and consideration of
cultural and contextual features of the target audience are important in this regard.
      </p>
      <p>
        There is a growing need for design approaches that not only provide functionality but also allow
the user to maintain control, feel predictable and safe system actions [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. In this regard, the task is
to develop a model that will take into account these factors as variables in the process of quality
formation, allowing to apply a systematic analytical approach to the evaluation and improvement of
design.
      </p>
      <p>In view of the above, the relevance of our study is determined by the need to formalise a complex
process that encompasses human interaction with intelligent technologies through an interface shell.
The development of a model of the design quality process opens up opportunities to increase the
manageability of design decisions, reduce the risk of errors, improve user experience, and increase
the overall efficiency of intelligent systems in applied areas.</p>
      <p>The main contributions of the authors in this study are as follows:
•
•
•
an ontological model of classes was developed, which serves as a conceptual framework for
systematising the factors that determine design quality. This model provides a consistent
representation of multilevel information and creates the prerequisites for its integration into
a single cognitive-oriented structure suitable for further analysis and modelling.
the conceptual allocation of functional clusters of factors influencing the quality of design,
as well as the formalisation of their interrelationships through the use of predicate logic tools,
which provided the possibility of a clear logical interpretation of the interaction between the
elements of the model.
a multi-level model of priority influence has been formed, which represents the hierarchical
organisation of functional components of the design of intelligent systems and reflects the
degree of their importance in shaping the overall quality of user interaction with the system.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Literature review</title>
      <p>The current scientific literature on the study of the principles of forming the quality of digital
interface design describes various methodological approaches.</p>
      <p>
        Study [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ] examines the impact of emotional design of user interfaces on cognitive processes,
motivation, and learning effectiveness in the digital environment. The main advantage is the
empirical confirmation of the link between emotionally oriented design and improved learning outcomes.
We have taken into account the rationale of this work regarding some factors that evoke positive
emotions, which can increase user engagement and the level of learning. Among the shortcomings,
it is worth noting the limited generalisation of the findings due to the specifics of the sample and the
experimental environment.
      </p>
      <p>
        In [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ], a systematic review of the literature on the use of heuristic evaluation to improve the
usability of digital products was conducted. It is noted that usability is influenced by three competing
factors, namely design principles, user engagement, and evaluator perception. However, there is no
extended model of priority criteria and detailed justification. Instead, [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ] presents a comprehensive
methodology for evaluating user interface and user experience. The study combines heuristic
evaluation, cognitive analysis with a think-aloud protocol, and UX surveys to identify usability problems
and improve learning efficiency. Among the advantages is the integration of several methods for
deeper analysis. However, the limitation is that it is limited to assessing the design of a cyberlearning
environment. It should be noted that most studies deal with a small number of design factors or are
aimed at evaluating specific environments.
      </p>
      <p>
        It is rightly noted in [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ] that stages or individual procedures of technological processes require
consideration of certain factors (criteria, requirements, parameters) to ensure quality
implementation. These factors differ in type, purpose, methods of application, peculiarities of influence on the
process, etc. However, the study of factors influencing the quality of the analysed process is a
necessary initial stage of predictive quality assessment. In [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ], a method for determining the priority of
factors based on mathematical modelling of hierarchies is proposed. This method allows determining
the dominance of factors by constructing a matrix of pairwise comparisons and the required number
of iteration tables. Paper [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ] also uses the analytic hierarchy process for a reasonable choice of the
optimal algorithm for the process under study, taking into account a set of key criteria. The main
advantage is the simplicity of mathematical modelling. However, this approach is based on a discrete
representation of interdependencies and does not take into account the degree of intensity of the
impact, which can lead to the loss of some of the relevant information in multifactorial systems. That
is why in our study we chose a ranking method that allows us to set weighting coefficients for
different types of relationships. In [
        <xref ref-type="bibr" rid="ref25">25</xref>
        ], the authors determined the optimal method for implementing
the process using the principle of multi-objective optimisation. The main limitation is the insufficient
number of analysed factors, which reduces the complexity of the findings. This approach is partially
justified by the Pareto rule, which focuses on the most influential variables but does not allow for a
full reflection of the entire structure of interdependencies in complex systems. Instead, we used
expert evaluation to form a set of factors and identified three main blocks that affect the quality of
intelligent systems design.
      </p>
      <p>The main advantages of our approach, compared to the other analysed ones, are a clear
presentation of the sets of factors influencing the formation of the intelligent systems design quality and
prioritisation of factors based on the ranking method, which allows taking into account the weight
values of the links between them. The results of the study can be integrated into practical design
evaluation and management tools based on ontological and logical-analytical approaches, providing
a more systematic, evidence-based and predictable environment for the development and
improvement of intelligent digital systems.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Material and methods</title>
      <sec id="sec-3-1">
        <title>3.1. Developing an ontology</title>
        <p>
          A computer ontology is a description of a subject area using a hierarchical structure of concepts in
the form of a finite set. The fundamental principles of ontology development are clarity, validity,
extensibility, minimum level of coding, and minimum ontological involvement [
          <xref ref-type="bibr" rid="ref26 ref27">26, 27</xref>
          ]. In view of
the above, let us formulate the following statements that reflect the requirements for the
development of ontological models:
        </p>
        <p>Statement 1. An ontology should provide an adequate and accurate reflection of reality, based on
formally defined concepts and terms, the semantic interpretation of which is unambiguous and
generally accepted.</p>
        <p>Statement 2: The designation of concepts in the ontology should comply with semiotic standards
and be formalised on the basis of agreed definitions recorded in scientific journals such as glossaries
and dictionaries.</p>
        <p>Statement 3: The structure of the ontology should be consistent, developed using axiomatic
foundations and formal rules to ensure consistency of statements and their relationships.</p>
        <p>Statement 4. An ontology should be developed taking into account the principle of extensibility,
which implies the possibility of dynamic addition of new concepts and statements without loss of
integrity and consistency.</p>
        <p>Statement 5. A formalised ontology model should not depend on specific representation formats,
software environments or technologies.</p>
        <p>Statement 6. The construction of an ontology should be based on minimal ontological
assumptions, avoiding unnecessary detail and limiting itself to only those concepts that are critically
necessary for the performance of the tasks.</p>
        <p>Statement 7. All definitions in the ontology should be formally verified to ensure the reliability
and validity of the model.</p>
        <p>Statement 8. The ontology should support integration with other formalised knowledge systems
through the standardised interoperability protocols to ensure effective interaction.</p>
        <p>Statement 9. An ontological model should be oriented towards universality and reusability.</p>
        <p>An ontological representation provides a structured description of a subject area using concepts,
their properties and relationships.</p>
        <p>
          According to Figure 1, the initial stage of ontology development involves the research and
systematisation of knowledge related to assessing the quality of intelligent systems design. Based on
the data obtained, the basic concepts and principles of the ontology are formed. A list of problems
that can be solved with the help of an ontological approach is also outlined. The next step is to
formulate the main functions and tasks of the ontology to develop design rules and constraints. For
example, requirements for hierarchical structure or relationships between elements. At the same
time, the implementation of clear rules and constraints ensures the consistency, unambiguity, and
functionality of the ontological model. For effective project implementation, it is important to choose
an information system for graphical representation of ontological models. The availability of
builtin consistency checking algorithms and compatibility with modern standards such as OWL (Web
Ontology Language) and RDF (Resource Description Framework) are crucial when choosing a
system. In this study, the creation, editing, visualisation, and verification of the ontological model was
carried out using Protégé, a free and open-source platform developed by a team from Stanford
University [
          <xref ref-type="bibr" rid="ref27 ref28">27,28</xref>
          ].
        </p>
        <p>The graphical display of ontological graphs greatly facilitates the perception of complex
ontological models. Visualisation allows you to quickly identify key elements, relationships, and potential
conflicts of the ontology.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Ranking of factors</title>
        <p>
          The multi-factor ranking method [
          <xref ref-type="bibr" rid="ref29 ref30">29, 30</xref>
          ] enables the ordering of factors based on their values within
the structure of cause-and-effect relationships. The methodological foundation is the construction of
hierarchical models that represent interdependencies among sets of factors affecting the quality of
intelligent system design. This approach makes it possible to determine the weights of relationships
between factors.
        </p>
        <p>
          The relationships between elements are classified as influences and dependencies, which in turn may be
either direct or indirect. Differentiating the types of relationships allows for a more precise description of
factor interactions and avoids reductionist assumptions regarding linearity or independence of model
components. This classification serves as the basis for building a tree-like structure that simulates real-world
design conditions for intelligent systems, particularly in shaping the quality of the final product [
          <xref ref-type="bibr" rid="ref22">22</xref>
          ].
        </p>
        <p>The quality of intelligent system design involves a significant number of factors G = g1, g2 ,..., gn and
is formed based on three components G = E; D; I , where: E
ergonomics and cognitive
principles of interaction, D accessibility and inclusiveness, I information architecture and visual
design. Let us conventionally denote the factors of a specific component as X = x1, x2 ,..., xn . By a
qualitative result, we shall understand a function that formalizes the cumulative contribution of a
set of influencing factors to the improvement of the quality of the studied process. Let us denote this
result as F ( xm ) , where k corresponds to a specific process. Therefore, the following expression,
which represents the quality function of this component, holds true:</p>
        <p>F ( xm ) =
n</p>
        <p> ( x jm ), (m = 1, 2,3),
j=1
(g)(x)C ( xm ); g G; x  X .</p>
        <p>(1)
the
coef(2)
where: F ( xm )</p>
        <p>the integral quality function of the process with index m ;  ( E jm )
ficient representing the additional quality contributed by factor j within process m ; n the total
number of factors relevant to the given process.</p>
        <p>Thus, the statement regarding the existence of a set of factors influencing the quality of the
process can be presented in a formalized form:</p>
        <p>In the context of multifactor analysis of a technological process, the degree of importance of each
factor is determined by its rank, which formally corresponds to the value of its weight coefficient. The
rank serves as a numerical indicator that allows the set of factors to be ordered according to their level of
influence on the target function.</p>
        <p>Let a set of weight coefficients be given</p>
        <p>W = w1m , w2m ,..., wnm 
under the condition
G ( w) = maxw1m , w2m ,..., wnm  , then:</p>
        <p>(g )(w)G (w); g G; wW. (3)</p>
        <p>It should be noted that there is at least one factor that dominates in terms of weight value. The
factor with the highest weight is considered a priority and has a decisive influence. Absolute
equivalence of factors is unlikely, as each is characterized by its own intensity of influence, determined by
its structural role and interactions with other elements.</p>
        <p>The construction of graph-based models relies on the existence of causal or functional
relationships between the factors of the studied process. The identification of such connections at the initial
stage is carried out using expert evaluation, which enables the formation of a preliminary graph
structure that reflects the hierarchy of individual factor influences. The initial ranking is determined
by identifying the prevailing connections between the graph nodes that represent the corresponding
factors. In this way, a multi-level model is formed, within which priorities are established based on</p>
        <p>If the condition B ( w) = wj  wj+1 is satisfied for ( j = 1, 2,...n −1) , then the following expression
can be formulated:
(w) B ( w); wW.
(4)</p>
        <p>Given the above, it is advisable to apply a structural analysis methodology using graph-based
representations to develop a model of the prioritized influence of factors on the quality of intelligent
system design. This approach requires the preliminary identification of a set of relevant factors and
the determination of the nature of the interrelationships among them. The initial informational
structure is built based on expert evaluation, where the connections between system elements
represent a hierarchical organization of influences.</p>
        <p>Quantitative ranking of influences requires the introduction of formal parameters, particularly
weight coefficients, which reflect the significance of each type of connection. To formalize both
direct and indirect influences between factors, an indexing system is introduced, allowing
dependencies to be classified by their order. Let us assume that hij is the number of connections of the i -th
type for the j -th factor where j = 1,..., n , then wi will represent the weight value of the i -th type of
connection. That is, each type of interaction corresponds to a specific index: for direct influences i = 1
, for indirect influences i = 2 , for direct dependencies i = 3 , and for indirect dependencies i = 4 . The
order of dependency correlates with the distance of influence within the graph structure: first-order
indicates a direct influence, while second-order refers to an indirect influence through an
intermediate factor. This aligns with the logic of systems analysis, where the strength of interaction
decreases with increasing distance in the graph.</p>
        <p>It is reasonable to assume that influence weights will be positive, while all dependencies will have
negative values. Moreover, indirect connections carry less weight than the direct ones. Therefore,
the following conditions hold true: w1  0 , w2 = w1 / 2 , w3  0 , w4 = w3 / 2 . Next weight coefficients
will be used: w1 = 10 , w2 = 5 , w3 = −10 , w4 = −5 .</p>
        <p>The ranks of the factors Xij are calculated as a weighted sum of all types of influences, normalized
by the corresponding coefficients:</p>
        <p>4 n
Xij = hij wi ,</p>
        <p>i=1 j=1
where n</p>
        <p>the ordinal number of the factor.</p>
        <p>Given that w3  0 and w4  0 next will be obtained R3 j  0 and R4 j  0 .</p>
        <p>To ensure the correct construction of the model based on weight characteristics, it is necessary
to normalize the corresponding values to a unified coordinate system. This eliminates distortions
caused by the uneven impact of different types of connections. In terms of graphical interpretation,
this corresponds to the procedure of vertically shifting a histogram that represents the set of
interactions.</p>
        <p>The shift is implemented by introducing a compensatory component that accounts for the
boundary values of the matrices of direct and reverse influences. The calculation is performed according
to the following relation:</p>
        <p> j = max X3 j + max X 4 j , ( j = 1, 2,..., n).</p>
        <p>Further calculations are carried out using an aggregated function that combines influence
coefficients, weight values, and corresponding adjustments:</p>
        <p>4 n
X Fj = (hij wi +  j ). (7)</p>
        <p>i=1 j=1</p>
        <p>Formula (7) provides a generalization of the quantitative parameters and establishes an analytical
foundation for developing the factor prioritization model.
(5)
(6)</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Experiment, results and discussion</title>
      <p>The
quality
of intelligent system
design
is
shaped
by
three
sets
of factors:
E = E1, E2 , E3, E4 , E5 , E6
action, D = D1, D2 , D3, D4 , D5
D = I1, I2 , I3, I4 , I5
a set of factors related to ergonomics and cognitive principles of
inter</p>
      <p>a set of factors related to accessibility and inclusivity, and
a set of factors associated with the quality of information architecture and
visual design. Given the above, the developed ontological model of intelligent system design quality
is presented as an ontological class graph (Fig. 2).</p>
      <p>For ease of further analysis, the sets of factors influencing the quality of intelligent system design
(ontology classes) are presented in Table 1.</p>
      <sec id="sec-4-1">
        <title>Feedback ( E6 )</title>
        <p>Accessibility
and inclusivity ( D )</p>
        <p>Polymodal content
representation ( D1 )
Personalization of
parameters ( D2 )
Alternative navigation</p>
        <p>mechanisms ( D3 )
Reduction of sensory</p>
        <p>stimuli ( D4 )
Verification of compliance with
accessibility standards ( D5 )
Information architecture and
visual design ( I )</p>
      </sec>
      <sec id="sec-4-2">
        <title>Hierarchy of visual elements ( I1 )</title>
      </sec>
      <sec id="sec-4-3">
        <title>Colour schemes and contrast ( I2 )</title>
      </sec>
      <sec id="sec-4-4">
        <title>Readability ( I3 )</title>
      </sec>
      <sec id="sec-4-5">
        <title>Spatial balance ( I4 )</title>
        <p>Layout composition
and rhythm ( I5 )</p>
        <p>The description of relationships between factors is most appropriately carried out using predicate
logic. This approach enables precise representation of the relations between entities that form the
knowledge structure. The foundation of this description lies in the use of logical structures,
particularly the universal  and existential  , quantifiers, logical conjunction «and»  and implication
«if» . Connections between factors (terms) are defined through predicates logical functions that
take one or more terms as arguments. This allows for the representation of both simple and complex
relationships between concepts within a single formal system.</p>
        <p>Description of ergonomics and cognitive interaction principles factors: (  Ei ) [  ( E1 ,
predictability of system behavior)  optimizes ( E1, E5 )  is determined by ( E1, E2 )  is modified by ( E1, E3 )
 is optimized by ( E1, E6 )]; (  Ei ) [  ( E2 , consistency of design models)  defines ( E2 , E1 ) 
influences ( E2 , E4 )  optimizes ( E2 , E5 )]; (  Ei ) [  ( E3 , interface modality)  modifies ( E3 , E1 )
 influences ( E3 , E5 )]; (  Ei ) [  ( E4 , scalability)  modifies ( E4 , E6 )  depends on ( E4 , E2 )];
(  Ei ) [  ( E5 , cognitive load)  is optimized by ( E5 , E1 )  is optimized by ( E5 , E2 )  depends
on ( E5 , E3 )  is optimized by ( E5 , E6 )]; (  Ei ) [  ( E6 , feedback)  optimizes ( E6 , E1 ) 
optimizes ( E6 , E5 )  is modified by ( E6 , E4 )].</p>
        <p>The developed hierarchical models of direct and indirect influences of factors (Fig. 3), as well as
direct and mediated dependencies between factors (Fig. 4), are presented using the example of
ergonomics and cognitive principles of interface interaction. Analogous hierarchical structures have been
constructed for the factors of accessibility and inclusivity, as well as for those pertaining to
information architecture and visual design.</p>
        <p>Factors of accessibility and inclusivity: (  Di ) [  ( D1 , polymodal content representation) 
defines ( D1, D2 )  initiates ( D1, D3 )  is initiated by ( D1, D5 )]; (  Di ) [  ( D2 , personalization of
parameters)  optimizes ( D2 , D4 )  is determined by ( D2 , D1 )  is determined by ( D2 , D5 )]; (  Di )
[  ( D3 , alternative navigation mechanisms)  supports ( D3 , D4 )  is initiated by ( D3 , D1 )  is
initiated by ( D3 , D5 )]; (  Di ) [  ( D4 , reduction of sensory stimuli)  is optimized ( D4 , D2 )  is
supported by ( D4 , D3 )  is optimized ( D4 , D5 )]; (  Di ) [  ( D5 , verification of compliance with
accessibility standards)  initiates ( D5 , D1 )  defines ( D5 , D2 )  initiates ( D5 , D3 )  optimizes ( D5 , D4 )].</p>
        <p>Factors of information architecture and visual design quality: (  Ii ) [  ( I1 , hierarchy of visual
elements)  defines ( I1, I3 )  supports ( I1, I4 )  is initiated by ( I1, I2 )  is initiated by ( I1, I5 )];
(  Ii ) [  ( I2 , colour scheme and contrast) )  initiates ( I2 , I1 )  is determined by ( I2 , I3 )  is
determined by ( I2 , I5 )]; (  Ii ) [  ( I3 , readability)  is determined by ( I3 , I1 )  is determined by
( I3 , I2 )  is optimized ( I3 , I4 )  is optimized ( I3 , I5 )]; (  Ii ) [  ( I4 , spatial balance)  optimizes
( I4 , I3 )  is supported by ( I4 , I1 )  is determined by ( I4 , I5 )]; (  Ii ) [  ( I5 , layout composition and
rhythm)  initiates ( I5 , I1 )  defines ( I5 , I2 )  optimizes ( I5 , I3 )  defines ( I5 , I4 )].</p>
        <p>The obtained results concerning the ranks and priorities of factors related to ergonomics and
cognitive interaction principles based on expressions (6), (7), and taking into account the assigned
weight values for first- and second-order influences and dependencies are presented in tabular
form (Table 2).
1
0
0
0
4
1</p>
        <p>E1j
EFj</p>
        <p>Based on the data presented in Table 2 through Table 4, a model for constructing the quality of
intelligent system design has been developed (Fig. 5). This model comprises three main blocks
containing factors arranged according to their priority levels.</p>
        <p>The main factor influencing the ergonomics and cognitive principles of interaction with the
interface is the consistency of design models, which received the highest weight (90 units). This factor
ensures consistency in the behaviour of interface elements, which reduces the number of errors and
speeds up user learning. Interface modularity allows you to adapt the interaction environment to the
context of the task, reducing information overload, and is the second highest priority. Scalability and
feedback were rated equally, as they are equally important for supporting the dynamics of cortical
scenarios. Predictability of the system's behaviour has a lower priority, as its absence is partially
compensated by other principles, in particular, consistency. The lowest priority belongs to the
cognitive load factor. However, a score of 0 does not mean that it has no impact on the process under
study, but rather that it has the lowest weight among the other factors analysed.</p>
        <p>The second block of the model, which visualizes the influencing factors on accessibility and
inclusivity, consists of four levels. The most dominant among them is the factor of verifying
compliance with accessibility standards.</p>
        <p>This result is logically grounded from a technological perspective, as this factor ensures the basic
compatibility of interfaces with regulatory requirements and guarantees legal compliance.
Polymodal content representation provides access to information through multiple sensory channels,
enhancing the universality of perception. The factors of parameter personalization and alternative
navigation mechanisms hold medium priority each scoring 35 units. The reduction of sensory
stimuli received the lowest weight in the model, as this factor has a narrow specialization and a
comparatively lesser impact on the overall level of accessibility than fundamental criteria such as technical
compatibility and multimodal information presentation.</p>
        <p>The highest-priority factor influencing the quality of information architecture and visual design
is the layout composition and rhythm. This factor determines the overall coherence and consistency
of the visual environment, supports logical content navigation, and minimizes visual noise, thereby
improving content perception efficiency.</p>
        <p>The colour scheme and contrast factor rank second with a score of 85 units, as it directly affects
the visual accessibility of elements. The least dominant factor is readability, as it largely depends on
other factors.</p>
        <p>Thus, a scientifically grounded approach to modelling the process of forming the design quality
of intelligent systems is presented. It is based on domain-specific ontological modelling, formal
representation of inter-factor relationships through predicate logic, and the use of ranking methods to
determine factor prioritization.</p>
        <p>The developed model of prioritized factor influence on design quality can have significant
practical applications across various fields of digital engineering, where user interaction quality and
adaptability are critical. It can be used to create effective interfaces in complex digital systems from
mobile applications to industrial SCADA solutions. Additionally, it holds potential for application in
personalized learning environments, particularly on e-learning platforms, to adapt the learning
environment d</p>
        <p>The model may also serve as a foundation for defining standards, criteria, and assessment
procedures for design quality during certification or internal quality control in IT companies and startups.
It should be noted that the list of factors is not exhaustive. The main limitation of this study lies in
the fixed set of factors in the developed model. When adding new factors, the proposed methodology
requires recalculating the weight values.</p>
        <p>Future research prospects include optimizing the model to avoid equal prioritization of factors
and applying machine learning and fuzzy logic methods to develop a design evaluation system.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions</title>
      <p>The study carried out a comprehensive modelling of the processes of forming the quality of design
of intelligent systems, which is extremely relevant in view of modern technological challenges. The
analysis shows that the design of intelligent systems should be considered not only as a set of visual
or structural solutions, but also as a complex, multi-level system of user interaction with the digital
environment, based on ergonomic, cognitive, inclusive, architectural and informational factors.
Understanding these aspects in the context of a systems approach is critical to creating effective,
convenient, and functionally complete solutions.</p>
      <p>The introduction of the ontological approach allowed us to formalise knowledge about the subject
area, establish clear relationships between key factors and build a holistic model that supports design
decision-making.</p>
      <p>The developed ontological class graph served as the foundation for further structuring the factors
influencing design quality, enabling the integration of multi-level data into a unified logical system.
This not only increases the transparency of design processes, but also contributes to the
standardisation of approaches to evaluating its effectiveness.</p>
      <p>A significant achievement of the study was the identification of functional sets of influence
factors and the implementation of their logical relationships using predicate logic. This approach
allowed for a multi-level ranking of factors by the degree of their impact on the quality of the final
product, which is extremely useful both in the development of new systems and in the audit and
improvement of existing ones. The ordering of factors by priority of influence contributes to making
informed decisions on the allocation of resources in the design process.</p>
      <p>On the basis of the structural analysis, a multi-level model of priority influence of factors is built,
reflecting the hierarchy of functional blocks of the design of intelligent systems. This model is a
universal basis for flexible customisation of design processes in accordance with the specifics of an
application area, system type or target audience. This approach forms a platform for further
automation of design quality assessment and implementation of intelligent UX/UI solutions.</p>
      <p>In general, the results of the study indicate the feasibility and effectiveness of using formalised
ontological models in the process of designing intelligent systems. They demonstrate that
high-quality user interaction with intelligent digital environments can be achieved only through systematic
knowledge integration, factor prioritization, and logical relationship structuring.</p>
      <p>In the future, it is promising to expand the proposed model by including adaptive mechanisms
for self-updating based on user feedback, as well as introducing machine learning elements for
automated prediction of the impact of individual factors on the overall quality of design. In addition, it
is advisable to create tools for visualising and dynamically managing ontological structures in the
process of developing complex intelligent systems.</p>
      <p>The approaches proposed in this study can be effectively applied in the areas where it is critical
to ensure high quality user interaction with intelligent digital systems. This applies to the
development of interfaces for complex software products, decision support systems, adaptive learning
platforms, as well as digital services in the fields of healthcare, finance, transport, and others. The
ontological model allows you to structure knowledge about the factors that affect the quality of design
and supports sound design based on system analysis. This enables the formal evaluation of the
design, its adaptation to the specific characteristics of the target audience, and its improvement based
on logically justified priorities. The results can be integrated into the practice of auditing,
standardisation and automated quality management of digital solutions.</p>
    </sec>
    <sec id="sec-6">
      <title>Declaration on Generative AI</title>
      <p>The authors have not employed any Generative AI tools.</p>
    </sec>
  </body>
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