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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Model of the hierarchy of quality factor criteria layout</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Zoryana Selmenska</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Zoreslava Plakhtyna</string-name>
          <email>zoreslava.plakhtyna91@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Myroslava Dubnevych</string-name>
          <email>dubnevychmyroslava@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Orest Khamula</string-name>
          <email>orest.h.khamula@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>
          <institution>Intelitsis'25: The 6th International Workshop on Intelligent Information Technologies &amp; Systems of Information Security</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Lviv Polytechnic National University IPMT (Ukraine)</institution>
          ,
          <addr-line>Lviv, 19 Pid Holoskom str</addr-line>
        </aff>
      </contrib-group>
      <abstract>
        <p>This article focuses on the study of layout - a key stage of prepress preparation that directly affects the quality of the final book product. The layout ensures the stylistic and technical unity of the design, as well as the artistic integrity of the publication, following technical rules, norms and standards. The key aspects of preparing a book publication include creating a unique image, choosing the optimal artistic and graphic concept to reflect the idea and content, and creating a coherent composition of all elements of the work to ensure its expressive graphic appearance. A book is a complex system, where not only the content is important, but also the readability, expressiveness of fonts and aesthetics. The layout plays a key role in shaping the final appearance of the publication, requiring a comprehensive approach to achieve high quality book products. This article describes the main factors influencing the layout process, including: thematic and production planning, reader demand, type of publication, volume of the publication, size parameters of the publication, font design, illustration design, layout complexity group, text composition rules, completion rules, and layout. As a result of the study of the selected criteria, it seems appropriate to represent the relationship between the factors in the form of a semantic network, which is an oriented graph, where each of the vertices corresponds to a concept, phenomenon or process, and the arcs represent the relationship between them. However, there is a need to create information tools that would not only identify a variety of factors related to the main stages of layout, but also determine their significance and impact on the overall quality of the process. The article considers the application of information technology to build a model of the hierarchy of quality factor criteria for the process of book layout. The paper describes a set of quality criteria for layout and possible relationships between them, which are presented in the form of an oriented graph with interdependence of factors.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Hierarchy model</kwd>
        <kwd>graph theory</kwd>
        <kwd>semantic network</kwd>
        <kwd>influence factors</kwd>
        <kwd>reachability matrix</kwd>
        <kwd>system analysis method</kwd>
        <kwd>layout process</kwd>
        <kwd>illustration design</kwd>
        <kwd>font design</kwd>
        <kwd>composition 1</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>When a text is reproduced in print, it should be easy to read and the prints obtained from the
printing plate should be well perceived. For example, even minor violations in the font design of a
publication can lead to a deterioration in children's health, in particular, to a decrease in vision due
to non-compliance with the standards for the selected font size [2].</p>
      <p>Illustrations are an integral part of a page's graphic appearance. An illustration is a visualisation
that complements the textual material of a printed product. Illustrations are used to convey the
emotional atmosphere of a work of art, visualise the images of the main characters, as well as
demonstrate objects in publications; display step-by-step instructions in technical documentation
[3].</p>
      <p>There are several types of illustrations; they can occupy a missing strip of text in a book (stripes),
half a strip (half-page), or an entire spread (full-page). Such images slow down the rhythm of the
narrative, suggesting that the reader stops moving through the book to look at it. They reveal the
content of the work and can depict individual episodes, character actions, descriptive fragments [4].</p>
      <p>The book's layout is primarily determined by the format and arrangement of the columns on the
page. These two factors largely determine the look of the book and the requirements for layout
options.</p>
      <p>The choice of paper format is a decision that determines the proportions and dimensions of the
image plane - the book's page. The format of the publication is determined not only by the
compositional criteria, but also by the content of the book, its intended purpose and readership.
Sometimes it is necessary to change the format based on the size and nature of illustrations or tables,
the length of formulas, and other elements. Finally, when choosing a format, it is necessary to
maintain proportionate proportions between the format and the volume of the book [1].</p>
      <p>The problem lies in the need to create such information tools that would not only make it possible
to reasonably identify a set of factors related to the essence and functions of the main stages of the
layout process, but also ensure the establishment of the weighting of factors and the priority of their
impact on the integral quality indicator of this process. For this purpose, it is necessary to provide a
system that covers a number of relevant tasks — from font selection to page layout organisation —
that must be effectively solved before the publication of the publication. Identification,
systematisation and optimisation of influence factors can improve the efficiency of the process and
the quality of the finished product.</p>
      <p>Creating an optimal algorithm that would simultaneously take into account all the constraints
and requirements is a rather difficult task, given the multitude of all the indicators that characterise
the quality of finished pages and the virtually unlimited range of page layouts and options for the
relative placement of various elements in them [5].</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related works</title>
      <p>The development of information technologies has a strong impact on production systems, and the
availability of a computer allows to effectively combine various technologies necessary for
production into an integrated computer-controlled production system, which has found application
in the printing industry. Article [6] presents the results of the analysis of prepress, printing and
postpress processes typical for printing enterprises in terms of integrated computer systems that allow
interconnection at the enterprise level. At the same time, stages, technological operations, and
procedures focused on the structure of production with the help of modern information and
communication technologies were identified. Functional and information models were developed,
especially for prepress. The study used such research methods as observation, descriptive and
correlation analysis. The results of the study indicate their usefulness for achieving high productivity
in the transformation of raw printing materials into finished products.</p>
      <p>Automatic layout analysis has proven to be extremely important in the process of digitising large
volumes of documents. The article [7] presents a mixed approach to layout analysis, which includes
a process of layout segmentation using SVM and a classification process based on local and geometric
features.</p>
      <p>The article [8] analyses the process of evaluating the page format of complex document images.
This process includes: analysing the structure and content of documents; automatic recognition of
page components (text, images, tables); identifying relationships between elements to understand
semantics; and a step-by-step analysis from low-level to high-level tasks. The result is improved
document processing, optimised character recognition, and increased accessibility of documentation.
This makes it easier to work with and categorise digital documents more efficiently.</p>
      <p>Article [9] is dedicated to graphic design as an important component of visual communication. It
discusses the use of typography, photography and illustration to create visual elements, as well as
various applications of graphic design, such as branding, editorial design, advertising and web
design.</p>
      <p>In addition, the article analyses modern technologies that influence product design, such as
algorithms for process optimisation and mobile edge computing, which bring data processing closer
to the end user. It also highlights the role of machine learning in predicting changes in networks.
Overall, the article demonstrates the integration of graphic design with technological innovations
and their impact on our daily lives.</p>
      <p>The research [10] highlights how visual elements attract attention, improve understanding of
information and evoke emotions. Special attention is paid to optimising visual content for SEO and
a list of useful tools and resources for creating visual materials is provided. The main conclusion is
that visual content is a powerful tool for effective communication and marketing in the digital age.</p>
      <p>Article [11] discusses the issue of ethics in design in the context of the crisis of modernity
paradigms and the need to rethink values. The author emphasises the growing role of the designer
in the post-industrial era, where creative labour is becoming a key factor in creating value. The article
calls on designers to take social and moral responsibility, focusing on the needs of society and the
environment, not just economic gain. The author proposes a shift from the concept of sustainable
development to a broader ethical approach that takes into account social, economic and
environmental aspects. Particular attention is paid to the impact of design on material culture and
the need to consider the ethical implications of production and consumption.</p>
      <p>This research [12] introduces factor analysis as a powerful tool for assessing layout design
options. By employing correlation to group criteria into a smaller set of key factors, this dimension
reduction technique simplifies the decision-making process. Factor analysis offers additional
benefits, such as revealing relationships between criteria and accommodating both quantitative and
qualitative data. The paper demonstrates the method's application through a case study from existing
literature.</p>
      <p>The significance of this approach lies in its ability to address the complex challenge faced by
facilities planners when selecting an optimal layout design. This task typically involves evaluating
numerous alternatives against multiple, often conflicting criteria. Factor analysis emerges as an
effective solution to streamline this decision-making process.</p>
      <p>A key advantage of this technique is its accessibility. It can be implemented using various
software packages without requiring in-depth theoretical knowledge, making it highly practical for
real-world applications.</p>
      <p>In today's digital age, the automated extraction of pertinent data from unstructured and
semistructured sources has become increasingly valuable for both personal and professional applications.
While comprehending word meanings is crucial, equally important is the process of document layout
analysis. This involves identifying coherent geometric and logical sections within documents, such
as blocks, cells, columns, tables, paragraphs, titles, and captions. This research [13] introduces
innovative approaches to tackle this complex challenge by integrating both syntactic and semantic
elements of document analysis. These advanced techniques form the foundation of KnowRex, a
comprehensive system designed for ontology-driven Information Extraction, which aims to
revolutionize how we process and understand document structures.</p>
      <p>The article [14] argues that traditional design thinking needs to be updated for the digital age. It
suggests "Digital Design Thinking" retains the customer and experience mindset of traditional design
thinking but applies it within a digital environment to achieve speed and scale. The article outlines
several advantages of digital design thinking, including the use of real-time data, behavioral data at
scale, lower costs, continuous experimentation, and the elimination of the Hawthorne effect because
users are unaware they are being tested.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Proposed methodology/model/technique</title>
      <p>In order to ensure high and stable quality of book editions preparation, it is necessary to provide a
comprehensive system that covers a number of urgent tasks that must be effectively solved before
the publication of the edition [15].</p>
      <p>This task was formulated and solved using the tools of graph theory and methods of system
analysis. The result is the development of a hierarchical graphical model of the priority influence of
the layout process quality factors criteria.</p>
      <p>In this research, we will focus on the criteria that have an obvious impact on the layout process
[16].</p>
      <p>Let the set of criteria be a certain set S ={ s1, s2, …, sn} . For clarity, let us supplement the
mathematical notation of the criterion with its mnemonic name, where  1 — thematic and
production planning (TPP),  2— reader demand (RD),  3—type of publication (TP),  4 — volume of
publication (VP),  5 — size parameters of publication (SP),  6 — font design (FD),  7 — illustrative
design (ID),  8 — layout complexity group (LCG),  9 — text composition rules (TCR),  10 — page
completion rules (PCR),  11 — layout (L).</p>
      <p>We formulate and solve such a problem using the tools of graph theory and methods of system
analysis [17]. To begin with, the set of criteria for the process of making S1 and the possible
interactions between them are represented in the form of an oriented graph (figure 1).</p>
      <p>Based on the above graph, we build a binary dependency matrix for a set of vertices using the
following rule:</p>
      <p>
        1, if the criterion i depends on the criterion j
aij= 0, if the criterion i does not depend on the criteria j
(
        <xref ref-type="bibr" rid="ref1">1</xref>
        )
      </p>
      <p>For convenience, let's place the matrix A of 11×11 elements in a table, adding an information row
and a column with the mnemonic names of the factors.</p>
      <p>Next, we build the binary reachability matrix B, which uses the dependency matrix A obtained
above and the unit matrix, denoted by I, according to the following rule: B = A + I.</p>
      <p>The reachability matrix must satisfy the condition:</p>
      <p>
        (I+A)k-1 ≤ (I+A)k = (I+A)k+1 (
        <xref ref-type="bibr" rid="ref2">2</xref>
        )
      </p>
      <p>The construction of matrix B is reduced to filling in a table similar to the one above, with binary
elements determined by a logical rule:
aij= 1, if it is possible to get from vertex і to vertex j</p>
      <p>0 in other case
The algorithm for creating matrix B includes the following steps:
(3)
1.
2.</p>
      <p>Rewrite the first row of the dependency matrix A to replace the first row of the matrix B.
Mark the unit elements of the first row of matrix B, i.e. the elements for which the condition
b1k = 1 is satisfied. Select the k-th row of matrix A and supplement the first row of matrix B
with the elements of this row. For matrix A, the first step of this algorithm involves the
following actions:
1st row of the matrix
1st row of the matrix
8th row of the matrix
1st row of the matrix</p>
      <p>Mark the unit elements of the first row of matrix B, i.e. the elements for which the condition
b1k = 1 is satisfied. Select the k-th row of matrix A and supplement the first row of matrix B
with the elements of this row. For matrix A, the first step of this algorithm involves the
following actions:
4. Select the next unit elements of the first row of matrix B and proceed to step 2.</p>
      <p>The search for units in the rows referenced by the analysed row is carried out up to the level
of nesting until we get a repetition of the row number that has already been used. In this case,
we take into account that the diagonal elements of matrix B are equal to one, since the matrix
is square, inversely symmetric, and the reachability of an element by itself a priori gives one.
5. The process is repeated until there are no unmarked elements in the first row of matrix B, or
until the entire row is filled with units.
6. Proceed to construct the next rows of matrix B.
7. The fonts should now be installed.</p>
      <p>As a result of the steps described above, we get the following reachability matrix [17].</p>
      <p>Practically the vertex sj (j = 1, 2, …, 11) of the original graph in Fig. 1 is considered to be reachable
relative to the vertex si (j = 1, 2, …, 11), if it is possible to get from the latter to sj in any way, taking
into account transitions through other vertices.</p>
      <p>The result of the analysis of all vertices leads to a subset of reachable vertex D (si).</p>
      <p>The reverse statement is also logical: we consider the vertex si to be the predecessor of the vertex
wi if it is reached from it. The set of vertices of the predecessors will form some subset P (si).</p>
      <p>As a result, the intersection of subsets of reachable vertices and predecessor vertices, i.e., a subset:</p>
      <p>Z( si) = D( si) ∩ P( si) (4)
whose vertices are not reached from any of the remaining vertices of the set W, determines a certain
level of the hierarchy of factors attributed to these vertices. An additional condition is to ensure the
equality of:</p>
      <p>P( si) = Z( si)
9
0
0
0
0
0
0
0
0
1
0
0
10
PCR
1
1
1
1
1
0
1
1
0
1
0
11
L
1
1
1
1
1
1
1
1
1
1
1
(5)
6
1
1
1
1
1
1
0
1
1
1
0
7
ІD
1
1
1
1
1
0
1
1
0
1
0
8
1
1
1
1
1
0
1
1
0
1
0</p>
      <p>D(si)</p>
      <p>As can be seen from the table, at the first iteration, the equality of P(si)=D(si)∩P(si) is applied to
elements 2 and 9.</p>
      <p>Therefore, they are elements of the first level of the hierarchy, which we will consider to be the
criterion of the lowest priority level of influence on the quality of the layout process.</p>
      <p>Remove the rows with numbers 2 and 9 from the table, and in the second column, delete the
numbers 2 and 9.</p>
      <p>Next table is the basis for calculating the second iteration, which results in the following level of
the criteria hierarchy [18].</p>
      <p>The implementation of these dependencies using iterative tables leads to the formation of
appropriate hierarchical levels, the initial one being the lowest in terms of priority of influence on
the process under research.</p>
      <p>To determine this level, we use the matrix of reachability and dependence of subsets, on the basis
of which we build Table 1.</p>
      <p>We delete row 1 from table, and the same numbers in the second and third columns. As a result,
we get the following table.
Generating further tables with repeating the relevant procedures will lead to the following result.
Performing the same steps as the previous ones, we will get the data for the next iteration.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Results/discussions</title>
      <p>Thus, as a result of performing actions on the elements of Fig. 1, a hierarchically structured model
was obtained that simulates the priority of the influence of selected factors on the quality of the book
layout process.</p>
      <p>The last factor analysed is the first in terms of priority of influence on the layout process, i.e. the
first factor in the hierarchical model is layout and font design, the next level is formed by the factors:
completion rules, layout complexity group and illustration design, and then separate levels are
formed by the factors: size parameters of the publication, volume of the publication, type of
publication and thematic and production planning. Reader demand and text composition rules
determine the lowest level of the hierarchy. Using the data of the iterative analysis, we synthesise a
hierarchically structured linguistic model in which the priority of the factor's action is determined
by the level of its placement. The model reflects all the existing relationships between the factors, as
set out in the original graphical model in (figure 1).</p>
      <p>The synthesised model abstractly reflects the subjective assessments of experts regarding the
factors that influence the main stages of book layout. As can be seen from (figure 2), the layout is of
the greatest importance, depending on which a hierarchical ‘pyramid’ of action or statement factors
is built. The main thing in solving the task is the selection of criteria related to the problem under
research, and the establishment of the most complete set of relationships between them in expert
way. These initial data are set using a graph and reflect a subjective vision of the ways to solve the
problem. At the same time, the appearance of a particular criterion at a certain level depends on the
established relationships between them, as specified in the initial graph. Their change in number and
nature will lead to a modification of the original graph and a corresponding change in the resulting
graphical model. If there is a software program for automating the process of building an
achievability matrix and obtaining a model of the hierarchy of criteria, it is possible to optimise the
choice of the best option. The reliability of assigning a particular criterion to the appropriate level of
the hierarchy is ensured by the use of the known system analysis theory priciples, modelling theory,
research and problem-solving methodology [19].</p>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusion</title>
      <p>The research identified the key factors influencing the quality of the layout process: thematic and
production planning, reader demand, type of publication, volume of the publication, size parameters
of the publication, font design, illustration design, layout complexity group, text composition rules,
completion rules, layout. The methodology for formalising the relationships between the factors
using the construction of a semantic network is presented. A binary matrix of dependence and
accessibility was built on the basis of the graph. To create a hierarchical graphical model, iterative
tables were used, which led to the formation of the corresponding levels, the initial one being the
lowest in terms of priority of influence on the process under study. Accordingly, the factor that was
considered last takes on the highest priority of influence on the layout process. The proposed model
reflects how the priority of criteria at the lower levels of the hierarchy affects the priority of criteria
at the upper levels. It can also be seen that the most important criteria that affect the quality of the
layout process are font design and layout. However, other criteria are equally important. The second
level is formed by three factors: completion rules, layout complexity group and illustration design.
Below that are individual levels that include such factors as the size of the publication, its scope,
type, as well as thematic and production planning. The lowest level of the hierarchy is occupied by
reader demand and text composition rules, which are recognised as the least influential. The
proposed model can become an effective tool for preliminary control and management of the layout
process at all its stages, ensuring the highest quality of the finished publication.</p>
    </sec>
    <sec id="sec-6">
      <title>Declaration on Generative AI</title>
      <p>The author(s) have not employed any Generative AI tools.
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