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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Reflex Systems of Natural Language Processing in Educational Management Information Systems</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Mykola Kubiavka</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Serhii Lienkov</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Yurii Khlaponin</string-name>
          <email>y.khlaponin@knuba.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Liubov Kubiavka</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Andrii Bernaz</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Kyrylo Pyrogov</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Kyiv National University of Construction and Architecture 31Povitroflotskyi ave, Kyiv</institution>
          ,
          <addr-line>03037</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>National Taras Shevchenko University of Kyiv</institution>
          ,
          <addr-line>Volodymyrska str. 64, Kyiv, 01034</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>This article describes the possibility of creating reflexive intellectual systems for processing natural language information based on the mathematical apparatus of the theory of non-force interaction and the prospects of building information and communication systems and technologies for managing the quality of education based on them. Tasks that can be solved by such systems are classified. It was determined that the proposed model differs from the existing ones by identifying differences in the conditional probabilities of the appearance of message addressees as the amount of informational influence of fragments of natural language text, which made it possible to automatically determine the most likely addressees of this text. The developed technology meets the requirements for simplicity, is informative and easy to understand, and is minimally expensive. The authors share the experience gained during the creation of this kind of technology and show its advantages both for computational linguistics and for information and communication systems and technologies for quality management of education. Information Technology, natural language text, reflexive approach, methods of information management, Information and Communication Systems and Technologies COLINS-2023: 7th International Conference on Computational Linguistics and Intelligent Systems, April 20-21, 2023, Kharkiv, Ukraine ORCID: 0000-0003-1745-7026 (M. Kubiavka); 0000-0001-7689-239X (S. Lienkov); 0000-0002-9287-0817 (Y. Khlaponin); 0000-00025141-9886 (L. Kubiavka); 0000-0003-3221-2860 (A. Bernaz); 0009-0008-5940-1286 (K. Pyrogov)</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>A characteristic feature of today is the intensively developing and implemented informatization
processes in almost all spheres of human activity. They led to the formation of a new information
infrastructure, which is associated with a new type of social relations and the use of information and
communication technologies (ICT).</p>
      <p>The modern stage of informatization of education is also associated with the wide introduction of
methods and means of information and communication systems and technologies into the education
system, the creation of a computer-oriented information and communication environment on this basis,
and the filling of this environment with electronic scientific, educational and management information
resources, with the provision of opportunities for the subjects of the educational process to access the
resources of the environment, use its means and services when solving various tasks. At the same time,
without the use of modern means of processing natural language information, it is impossible to count
on the convenience and effectiveness of using such systems in the conditions of quality management of
education. It is clear that in such a complex field as the management of the quality of education, where
the activities of managers and specialists are related to the processing of a significant amount of data,
it is impossible to do without the use of natural language information processing tools. But the modern</p>
      <p>2023 Copyright for this paper by its authors.
Ukrainian market of information technologies (IT) does not offer educators a wide selection of
instrumental intelligent systems that could be used with the lowest costs for processing natural language
texts in the management of the quality of education.</p>
      <p>Therefore, there is a need to create problem-oriented intellectual systems capable of "selecting"
information necessary for managers and education specialists from the natural language presentation of
various categories of projects in education and applying it to solve the problems of planning educational
activities, managing the quality of education, managing the cost of education, managing risks, etc.</p>
      <p>It is proposed to take the theory of information (non-force) interaction as a scientific and
methodological basis for solving this task. Within the framework of this theory, not only the apparatus
for forecasting the development of systems based on the interaction of people was created, but also the
mathematical apparatus for the formalization of the soft component, also generated by human activity,
was provided.</p>
      <p>The purpose of the work is to create, using the mathematical apparatus of the theory of non-force
interaction, models, methods and means of formalizing natural language information, on the basis of
which it would be possible to create economically profitable, effective, simple and competitive ICT
systems for the management of the quality of education and educational management. This work is
dedicated to the development of such a reflexive intellectual system.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related works</title>
      <p>
        Education management information systems (EMIS) enable officials to be constantly informed
when developing the foundations of state education policy and to make final decisions based on reliable
information. Considering this, the requirements for the formation of educational databases are very
high, because poor-quality educational information can have far-reaching negative consequences,
including the adoption of incorrect management decisions regarding the distribution of limited
resources. In view of the above, the development of data information systems and their integration
should be the basis of state management of the education system [
        <xref ref-type="bibr" rid="ref1 ref2 ref3">1-3</xref>
        ].
      </p>
      <p>
        The effectiveness of the construction of means of automated management of the quality of education
largely depends on the linguistic means of describing objects and management processes. In connection
with this, there are many studies on the construction of natural language processing systems [
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref13 ref14 ref15 ref4 ref5 ref6 ref7 ref8 ref9">4-25</xref>
        ].
Modern natural language information processing systems, which arose at the intersection of
computational linguistics and information retrieval systems [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], are systems that are poorly adapted to
solving the problems of formalizing management information, especially in the direction of educational
activities.
      </p>
      <p>The modern Ukrainian market of information technologies (IT) does not offer educators a wide
selection of instrumental intellectual systems that could be used with the lowest costs for processing
natural language texts in the management of the quality of education.</p>
      <p>
        Known domestic and foreign natural language information processing systems are, for the most part,
experimental and highly specialized and do not fully satisfy the requirements of automated information
processing systems in education management. And although the Ministry of Education and Science of
Ukraine adopted the "Automated Information Complex of Educational Management" software and
hardware complex in 2021, its main purpose remains to ensure the transition to electronic document
management and access to aggregated depersonalized data for automatic reporting. In addition, the costs
of creating, maintaining, and modernizing such a complex are significant [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
      </p>
      <p>
        But nevertheless, without such means, the productivity of information and communication systems
when filling the information base of education management is significantly reduced, and the costs of
performing routine actions, such as the formal presentation and input of information, searching in the
information base, etc., increase [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
      </p>
      <p>The use of natural language processing systems in education management is associated with a
number of specific features of this branch of activity, significant duration and complexity of the process
of creating an educational product, significant changes in documentation during the implementation of
such projects, incompleteness of documentation, low reliability of information sources, diversity of
source documentation, which is formed at the request of various users, by the difficult formalization of
most of the source documents. Accordingly, the requirements and limitations for natural language text
processing systems are determined by mobility, reliability, high productivity, ease of changing the
information base, and decentralization of the data processing process.</p>
      <p>
        To date, within the framework of the theory of informational (non-force) interaction, not only the
apparatus for forecasting the development of systems based on human interaction has been created, but
also the mathematical apparatus for the formalization of the soft component, also generated by human
activity, has been provided. Today, in addition to managing the development of complex systems, the
theory is also used to manage enterprises [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], programs and projects [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], to build decision-making
training systems, diagnose cardiovascular diseases [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ], in voice control systems for technical devices
[
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] and others. That is why, by applying the mathematical apparatus of the theory of non-force
interaction in the management of the "soft" component, it is possible to achieve the set goal, that is, it
will be possible to obtain formal (numerical) models that will make it possible to make accurate
forecasts about the result of informational influence and distribute information about the management
of the quality of education to its addressees.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Methods / Methods and Materials</title>
      <p>
        The effectiveness of the construction of means of automated management of the quality of education
largely depends on the linguistic means of describing objects and management processes [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ].
Therefore, the adaptability and mobility of the languages of communication with the "computer", the
non-procedural character of the description of objects and management processes, and the use of
"contexts" and "silencing" are indispensable conditions for the rational construction of linguistic means.
These requirements have a contradictory nature, due to the orientation towards non-professional users,
on the one hand, and limited possibilities (both theoretical and technical) on the other.
      </p>
      <p>The resolution of this contradiction is related to:
1. With the division of incoming information flows into those that are formalized (and,
accordingly, require traditional dialog software tools for their processing) and those that are difficult to
formalize (require significant costs for formalization);</p>
      <p>
        2. Using the results obtained in the theory of non-force interaction for the construction of natural
language information processing tools [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ].
      </p>
      <p>In order to build effective information and communication systems and technologies for the
management of the quality of education, according to the authors, it is necessary to carry out the
following preparatory work:
• to study the object and situation in which the processing of natural language information is
carried out;
• choose a strategy, tactics, and means of processing natural language information;
• determine the most influential forms of information presentation and develop models and
methods of their formation with the help of all available means of presenting (proving) information;
• to develop a system for analyzing the effectiveness of information provided and its correction
in case of insufficient action.</p>
      <p>The requirements for these tools are based on an understanding of the conditions in which educators
find themselves, the sources and quality of the information received, as well as ways of forming various
information representations.</p>
      <p>Based on this, the following requirements are:
1. Simplicity.
2. Multifacetedness.
3. Algorithmic clarity.
4. The possibility of systematization of the main processes of information management.
5. Openness.</p>
      <p>These requirements will be provided in further research:
1. By developing templates and methods for automatically determining the most influential ways
of presenting information (simplicity).</p>
      <p>2. The use of various information management tools, the choice of which will depend on the
information needs regarding the required result (multifacetedness).</p>
      <p>3. Formal methods of presenting management tools (algorithmic clarity).</p>
    </sec>
    <sec id="sec-4">
      <title>4. Experiment</title>
      <p>model:
parameters (1):
encountered (2):</p>
      <p>Development of standards for information interaction, focused on transforming the presented
information into awareness (the possibility of automating the main processes of information
processing).</p>
      <p>The possibility of access to means of providing information from many workplaces (openness).</p>
      <p>So, let's formalize the task of applying natural language information processing systems for
decisionmaking in education quality management. This task is formulated as follows: it is necessary to perform
such actions (or to make certain decisions) in the educational project that corresponds to the semantic
and pragmatic content of the natural language text.</p>
      <p>To solve this problem, and based on the informational redundancy of natural language, we will
divide the input text into clusters, among which there will usually be those that determine the reaction
required under the given conditions. Since it is impossible to know in advance which clusters these are,
we will form a number of combinatorial regularities of the input text and, in the process of learning,
select those that have the greatest impact on the decision. This is determined based on the following
The set of elements of natural language affecting decisions is divided into clusters containing</p>
      <p>= {  },  = ̅1̅̅,̅̅,
where  is the input text;   – is the cluster influencing the decision;  is the number of clusters.</p>
      <p>According to the frequency characteristics, it is possible to determine the approximate values
of the probability of each of the decisions (each of the actions), provided that one or another cluster is
∈  ,   ∈  ∶  ( j /   ) ≈  (  /   ),
where n(Rj / xi) – is the frequency of action (decision) Rj, provided that the cluster xi was present in the
input text; p(Rj / xi) – is the probability of action (decision) Rj, provided that the cluster xi was present.
3.</p>
      <p>For each action (decision) Rj given the unconditional probability p(Rj) and individual
conditional probabilities p(Rj / xi),...,p(Rj / x1),...,p(Rj / xq), it is necessary to estimate the joint conditional
probability of this solution (action) p(Rj / x1,…, xi,…, xq).</p>
      <p>Since, in this interpretation, the decision-making process can be represented as the process of
determining the most significant informational influences of the input text on a set of actions
(decisions), we will use an approach based on the mathematical apparatus of the theory of non-force
interaction to solve this problem. The measure of assessing the situation, relative to the solution in the
theory of non-force interaction, is determination and awareness. The relationship between certainty and
probability is given by formula (3):
where p – decision probability; d – certainty of this decision.</p>
      <p>The relationship between awareness and probability is given by formula (4):
 = {
0,5×√1−
−0,5×√1−</p>
      <p>+
1− −2,  ℎ  ≥0,5

+
1− −2,  ℎ  &lt;0,5</p>
      <p>,
 =</p>
      <p>0,5
√ ×(1− )</p>
      <p>.
 0 →   ^ 0 →</p>
      <p>⇒  0 →   ,</p>
      <p>A measure of non-force action   ∈  ,  = ̅1̅̅,̅̅ should reflect the difference in certainty and
awareness of "before" and "after" changes in the subject area. And it is precisely the change in certainty
and awareness that is the cause of the change in probability (5)
where p0 – probability of decision (action) R0; d0 – certainty of decision (action) R0; i0 – awareness of
the decision (action) R0; dj – certainty of decision (action) R0, which is formed by a cluster of input text

 ∈  , ij – awareness that corresponds to certainty dj; pj – probability of decision (action) R0 given by
all clusters   ∈  .
(1)
(2)
(3)
(4)
(5)</p>
      <p>At the same time, applying the mathematical apparatus of the Theory of non-force interaction, we
obtain (6,7):
case there is a cluster in the text   ∈  to the certainty of decision-making R0 given by all clusters of
the input text (8)
∀  ,   :  0 →  ∑ ^ 0 →  ∑
⇒  ∑ = 0,5 +
 ∑
2∑
,
where  ∑ – certainty of decision R0, which is formed by all clusters 
 ∈  ;  ∑ - awareness
corresponding to certainty  ∑ ;  ∑ – the probability of the decision R0 under the influence of all clusters
included in the input text В.</p>
      <p>To solve this problem, we will apply the mathematical apparatus of the theory of non-force
interaction. The concept of building reflex intellectual systems, which is based on the mathematical
apparatus of the theory of non-force interaction, implements the principles of universal modeling of
regularities in a given subject area, which are statistically manifested. The basis of the functioning of
reflex intellectual systems is the method of developing an adequate reaction of the intellectual system
to all external influences. This method ensures the selection of the most probable reaction of the
intelligent system to a set of input influences, with known probabilities of choosing a reaction to each
input influence, as well as to some combinations of input influences.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Results</title>
      <p>
        The reflex method directly calculates the response of the intellectual system adequate to the input
influences (Fig. 1). The adequacy of the reaction was confirmed in previous experimental studies
conducted by authors and covered in the relevant sources [
        <xref ref-type="bibr" rid="ref12">12,16</xref>
        ].
      </p>
      <p>Input text</p>
      <p>Non-forceful influences</p>
      <p>Classes of reactions
(6)
(7)
(8)
1</p>
      <p>2
9
3
5
6
7
4
8</p>
      <p>R</p>
      <p>R
E
A
C
T
I
O
N
S</p>
      <p>Note: those virtual objects that reflect the commonality of action (synergistic effect) are marked with a dotted line</p>
      <p>The method of calculating an adequate reaction to the meaning of the input text in the education
management project has the following stages:</p>
      <p>Calculation of the certainty of reactions in the project relative to the effects of text clusters.
From (5)-(6):
 (  ) = ±0,5√</p>
      <p>(  )
1− (  )
+
1− (  ) − 2,</p>
      <p>(  )
 (  ) = √ 2(  ) + 1,
 (  /  ) = ±0,5√</p>
      <p>(  /  )
1− (  /  )
+
1− (  /  )
 (  /  )</p>
      <p>− 2,
 (  /  ) = √ 2(  /  ) + 1,</p>
      <p>Calculation of the total impact on decision-making managers or specialists who perform
where ∆ ∑ (  ) – changing the certainty of the decision (action) Ri. changing the certainty of the
decision (action)   if there is a cluster in the input text   .
managerial actions (14):
where p(Ri) – unconditional probability p(Ri) choice of decision (action) Ri; d(Ri) – certainty in the
project regarding the decision (action) Ri; i(Ri) – awareness in the project regarding the decision (action)
Ri; p(Ri /Aj) – the conditional probability of choosing a decision (action) Ri if present in the input text
of the cluster Aj; d(Ri / Aj) – certainty in the project regarding the decision (action) Ri, if present in the
input text of the cluster Aj; i(Ri /Aj) – awareness in the project regarding the decision (action) Ri, if there
is a cluster in the input text Aj.</p>
      <p>Calculation of the additional probability that input text clusters bring to the intelligent system
∆ (  /  ) =  (  /  ) ×  (  ) −  (  ) ×  (  /  ),
where ∆ (  /  ) – changing the certainty of the decision (action) Ri if there is a cluster in the input
∆ ∑ (  ) = ∑</p>
      <p>∆ (  /  ),
∆ ∑ (  ) = √∆ ∑2 (  ) + 1,
(9)
(10)
(11)
(12)
(13)
(14)
(15)
(16)
(17)
where ∆ ∑ (  ) – change of awareness in the project, relative to the decision (action) Ri.</p>
      <p>Calculation of the new certainty of decisions (actions) in the management of the quality of
education (16):</p>
      <p>̅̅(̅̅̅̅̅) = ∆ ∑ (  ) ×  (  ) +  (  ) × ∆ ∑ (  ),
where ̅̅(̅̅̅̅̅) – new determination of the project management's attitude to the decision (action) Ri.</p>
      <p>Selection of the most definite decision (action) Rk (17):
  :   ∈  ^̅̅(̅̅̅̅̅̅) = 

(̅̅(̅̅̅̅̅)).</p>
    </sec>
    <sec id="sec-6">
      <title>6. Discussion</title>
      <p>During the creation of reflex systems for processing natural language information using the given
method, it is necessary to solve two main tasks: to highlight in the input text and formalize the clusters
that have the greatest impact, as well as the reactions of the management of the management of the
quality of education with the accumulation of statistical information about the connections between
them; adapt the reflexive algorithm to the features of natural language.</p>
      <p>On the basis of the proposed model, one of the options for the application of the reflex system of
natural language information processing has been developed.</p>
      <p>t
x
e
t
t
u
p
n
I
d
n
a
s
i
s
ly s
a er
n t
a su
lia lc
it d
in te
fo lce
ck se
o
l
B
m
tse s
y n</p>
      <p>o
s i
f t
o ce
a n
re on
A c</p>
      <sec id="sec-6-1">
        <title>Knowledge base of the system</title>
      </sec>
      <sec id="sec-6-2">
        <title>Teaching</title>
      </sec>
    </sec>
    <sec id="sec-7">
      <title>7. Conclusion</title>
      <p>Education is extremely important for socioeconomic development and cultural enrichment of
society, providing people with relevant knowledge and skills to improve skills, and the ability to work
productively in the conditions of further global development. For Ukraine, the task of effectively
providing and organizing the education of pupils/students in the transforming education system,
forming a new information mentality of all interested parties, is relevant. Solving this task requires
constant monitoring and assessment of the state of the education system, which is based on the
collection, processing of information, and analysis of educational data necessary to ensure the adoption
of well-founded management decisions. Such information support makes it possible to implement
modern education management information systems (Education Management Information Systems
(EMIS)). The constant increase in the amount of professional knowledge and the high degree of
development of information and communication technologies actualizes the problem of developing
high-quality software products with elements of artificial intelligence designed to meet the information
needs of users. The work of any intellectual system involves the processing of the knowledge base,
which is its basis and has the property of gradually accumulating new knowledge. Intelligent systems
must accumulate information, generalize it, and learn from their mistakes, using the knowledge base.
Since the basis of an intellectual system, which is created as an application of the theory of non-force
interaction, is the processing of various actions with the development of a reaction adequate to these
actions, such systems are reflex (by analogy with the behavior of objects of living nature). The concept
of building this reflex intellectual system implements the principles of universal modeling of
regularities in a given subject area, which are statistically manifested. The method of developing an
intelligent system response adequate to all external influences ensures the selection of the most probable
response of the intelligent system to a set of input influences, with known probabilities of choosing a
reaction to each input influence, as well as to some combinations of input influences.</p>
      <p>
        In the process of this study, it was shown that the mathematical apparatus of the theory of non-force
interaction is quite simple and convenient for building natural language text processing systems. The
used mathematical apparatus will be the basis of the system of discrete processing of the semantics of
texts in the management of the quality of education and educational management. In further work, it is
planned to develop the structure and algorithms of the specified system and conduct its experimental
verification in production conditions for the management of educational processes. The use of the
developed new ICT will affect the development of the formed ICT environment, which is dynamic and
open, which will allow to improve the process of management of educational institutions, improve and
maximally direct their activities to increase the quality of education. The proposed model differs from
the existing ones by identifying differences in the conditional probabilities of the appearance of message
addressees as the amount of informational influence of fragments of natural language text, which made
it possible to automatically determine the most likely addressees of this text. The developed technology
meets the requirements for simplicity, is informative and easy to understand, and is minimally
expensive. Its foundation is based on the models and methods of influence process management
developed by the authors [
        <xref ref-type="bibr" rid="ref12">12, 16</xref>
        ], and the obtained results bring our state closer and closer to the
creation of competitive ICT for the management of the quality of education and educational
management and bring us closer to the creation of full-fledged artificial intelligence. Currently, reflex
intellectual systems solve various problems in the areas of human intellectual activity already today [
        <xref ref-type="bibr" rid="ref11 ref12 ref13 ref14">11-14</xref>
        ].
      </p>
    </sec>
    <sec id="sec-8">
      <title>8. Acknowledgements</title>
      <p>The author expresses his main gratitude to Professor Yury Teslia, he, like no one else, knows what
non-violent interaction is. This study is based on the fact that the result of non-violent interactions is
the construction of a general attitude to reality. The author also expresses his gratitude to Professor
Serhii Lienkov, who mentors and teaches. Thank you, my dear sister Lyubov Kubiavka, for your faith
in me and all-round support. Special thanks to Kyrylo Pyrogov for the quick translation of the work.
Friends - you are the best!</p>
    </sec>
    <sec id="sec-9">
      <title>9. References</title>
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