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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>December</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Mereological Approach for Formation of “Part‐Whole”  Relations between Pages of a Semantic Wiki‐resource </article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Julia Rogushin</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Anatoly Gladun</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Institute of Software Systems of the National Academy of Sciences of Ukraine</institution>
          ,
          <addr-line>40, Ave Glushkov, Kyiv, 03181</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>International Research and Training Center for Information Technologies and Systems under NAS and MES of Ukraine</institution>
          ,
          <addr-line>40, Ave Glushkov, Kyiv, 03680 GSP</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2021</year>
      </pub-date>
      <volume>9</volume>
      <issue>2021</issue>
      <fpage>0000</fpage>
      <lpage>0001</lpage>
      <abstract>
        <p>  Wiki technologies are considered as a common means of collaborative development of information resources. One of the most typical problems that arise in the process of semantization of the Wiki resources with a complex heterogeneous structure is the construction of consistent and non-contradictory set of semantic properties that represent the meanings of relations between individual Wiki-pages. We propose to use elements of ontological and mereological analysis that allow us to formalize the characteristics of the used semantic relations and to determine their subtypes. Thus, the interoperability of the use of the names of semantic relations by independent and territorially separated users with different terminological systems is ensured. Mereology analyzes one of the fundamental types of relations between objects, as well as natural and artificial environments - the relations of part and whole. The main subtypes of mereological relations are considered on the examples of relations between the pages of e-VUE - portal version of the Great Ukrainian Encyclopedia implemented on base of semantic Wiki technologies.</p>
      </abstract>
      <kwd-group>
        <kwd>  wiki-resource</kwd>
        <kwd>semantic relations</kwd>
        <kwd>mereology</kwd>
        <kwd>ontology 1 </kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction </title>
      <p>
        Today it is quite difficult to ensure in practice the joint, free and open use of information. Problems
caused by large volume, heterogeneity, distributed sources and inconsistency require a new specialized
approach which would ensure a balance between the openness of information and its uncontrolled
distribution. Open Source Intelligence (OS-INT is aimed at the collective gathering and analysis of
information [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. It is a knowledge-oriented area of the Open Source concept [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] which becomes an
increasingly significant source of knowledge because of increase the number of Web users and the
improvement of their qualification.
      </p>
      <p>OS-INT includes social networks, Wiki-resources, blogs, etc., that are created and added to by
millions of the Web users. Such resources has some structure elements and so they can be considered
as semi-structured ones, but their structure is often quite contradictory and incomplete for automated
processing.</p>
      <p>Main principles of OS-INT joint work are peer review, the practice of mutual evaluation by experts
of their own work, the predominance of independent reputation over administrative control, free
circulation of products, and flexible levels of dependence and responsibility. Evaluations performed by
reputable specialists are more important for communities. Knowledge is acquired in the process of
clarifications and reaching consensus.</p>
      <p>OS-INT consists of various independent projects that have different histories, different technical and
social strategies for implementation of open source sharing principles.</p>
      <p>Now OS-INT has a strong theoretical and technological basis. Many information technologies are
created to facilitate the free and accessible exchange of information between experts, and information
is not only effectively disseminated, but also jointly evaluated. The simplest OS-INT platforms –
mailing lists (e-mail lists) – appeared in the mid-70s of the last century. In the 80s, FidoNet and Usenet
proposed users some OS-INT capabilities, but they were quite difficult to use. In the 1990s, many of
these platforms were transformed by the advent of the World Wide Web.</p>
      <p>
        One of the most common areas of current OS-INT is Wiki-technology [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. Now this technology is
actively used for the development of knowledge management systems in various fields, for example,
for development of Wikipedia [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Software and content contained on Wiki pages most often use the
GNU Free Documentation License (GFDL), which guarantees compatibility of the license with the
existing body of GFDL texts. This makes it possible to use one Wiki with pages that are based on
different licenses.
      </p>
      <p>Wiki-environment is a hypertext environment (usually it is a Web-site) that allows users to create
and modify its content in some rather simple way. The site content that consists of individual Wiki
pages and links between them is called a Wiki-resource. Creation and editing of Wiki-resource is a
collective process. Since the process of revision and clarification is public and continuous, there is no
fundamental difference between preliminary and final versions of Wiki-resource information. The use
of the expert review principle of open sources allows the Wiki-resource to gradually grow both in terms
of the number of articles and their depth and quality due to the collective contribution of users
specializing in certain issues.</p>
      <p>Wiki-technology is a technology for Wiki-resource building. It allows visitors of the Web site to
participate in content editing – correction of errors and addition of new materials without special
software and without registering on the site. Such operations do not require learning the HTML
language or special query languages. Basic Wiki-technology is not oriented on processing of semantics
but can be used for these purposes with a help of various extensions.</p>
      <p>
        Semantic MediaWiki (SMW) is one of the common engines for creating and maintaining
Wikiresources that provides semantization of information into Wiki-resource, reuse of knowledge and
consistency of content [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. SMW is a semantic extension of MediaWiki [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], a free and open source
software for the hypertext Wiki-environment that provides a platform for creating directories,
encyclopedias and catalogues. SMW allows users to add semantic properties to Wiki pages, turning
Wiki-resources on base of MediaWiki into some kind of knowledge base.
      </p>
      <p>Advantages of SMW use:
 Integration of information from different Wiki pages in various lists and tables that are
generated automatically by results of semantic queries;</p>
      <p>
         Visualization of information (for example, with the help of additional plug-ins, such as
Semantic Result Formats and Semantic Maps) that can represent information as maps, calendars,
graphs, etc.;
 Convenience of structured information input by use of semantic templates and forms;
 Personalized information search – users can search for information relevant for their individual
needs by generation of specific queries with the help of SMW add-ons like Halo and Semantic
Drilldown;
 Consistency of data in different languages and from different Wiki-resources;
 Ability to reuse information in other applications – data created in SMW can be easily
transferred externally in CSV, JSON, and RDF [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] formats, and by use of External Data and Semantics
Result Formats it is possible to transfer data from one Wiki-resource to another, eliminating the need
for duplication and manual synchronization;
      </p>
      <p> Integration with Semantic Web technologies – for example, the Triple Store Connector
extension allows to connect Wiki-resource with RDF repositories and to use the SPARQL language for
queries.</p>
      <p>All these advantages are based on complex knowledge structure of domain that is represented by
Wiki-resource. Adequacy and pertinence of domain knowledge representation require relevant semantic
elements of Wiki-resource. One of the main problems that arise in the process of creating a semantic
Wiki-resource with complex heterogeneous structure is the construction of a set of semantic properties
that allow to display correctly the relations between individual Wiki-pages. It is important to avoid both
the use of different names for relations with the same meaning, and the use of the same names to display
relations with different semantics (this situation can be caused by the ambiguity of the terminology of
different domains).</p>
      <p>The built-in means of SMW do not allow formal representation of the characteristics of semantic
properties (such as equivalence, transitivity, reflectiveness) and their range of values and range of
definition. Therefore, it is advisable to use elements of ontological and mereological analysis to solve
this problem and formalize these characteristics in an interoperable way.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Formulation of the problem </title>
      <p>The purpose of this work is to develop methods and means for correct and to define unambiguously
semantic relations between pages of Wiki-resource. Such information from the point of view of
semantic technologies can be considered as classes and instances of ontology classes but we need in
models and methods for matching of elements of ontology with elements of semantic Wiki-resource.
The most important of them are basic relations between domain concepts represented by different
expressive means. We proposed to use mereological analysis as a basis for a more clear and
interoperable definition and differentiation of various subtypes of “part-whole” relations. This should
ensure a more efficient search for information into the Wiki-resources and give users faster access to
content elements that they need.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Relevance of the problem </title>
      <p>The semantization of Wiki-technologies provides an opportunity to define explicitly relations
between Wiki-pages, but each domain (and, accordingly, each information resource (IR) that deals with
this domain) is defined by fixed set of domain-specific relations. Some domain relations are the same
for all areas (for example, "class-subclass"), and some others are very specific and are used for
individual domains only and have no formally defined characteristics (for example, relation "has journal
publications").</p>
      <p>
        However, we can assign a group of relations of the "part-whole" type which are characteristic for
various domains, but contain different subtypes with similar characteristics and different semantics.
Their definitions make an important component of the description of various domains [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. The
theoretical basis for determining such subtypes is mereology – a scientific direction that formalize
relations between parts and the whole. In the creation of modern Wiki-based encyclopedic IRs, focused
on functioning in the Web and interaction with other intellectual applications, it is advisable to use this
theoretical basis to expand the functionality of such IRs.
      </p>
    </sec>
    <sec id="sec-4">
      <title>4. State of problem study </title>
      <p>
        Mereology (from the Greek "part" and "study") is a formal theory about parts and concepts related
to these parts. This theory is developed by S. Lesnevsky (Lviv-Warsaw school of mathematics), who
analyzes the philosophical, logical and mathematical components of the foundations of mathematics
[0]. The main object of mereology is the study of the "part-whole" relations. Mereology analyzes the
connection of part and whole that is one of the main types of connection between objects, as well as
natural and artificial environments [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. It is the first of the logical systems created by S. Lesnevsky in
1916. Lesnevsky considered mereology as a part of the triad of deductive theories, which also includes
protothetics and ontology (Lesnevsky names “ontology” a system with single relation "is_a" that differs
from the modern Semantic Web approach). In this approach mereology consists single original relation
– «to be an element". This theory was developed by K. Aidukevich, A. Tarsky, and T. Kotarbinsky
[
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. The world scientific community considers the Lviv-Warsaw school as one of the directions of
analytical philosophy [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. A characteristic feature of their philosophy is a critical analysis of
postulates, statements and used linguistic means with their mandatory logical verification.
      </p>
      <p>The importance of «part-whole" relation is caused by its use as a basic concept of scientific
knowledge. The system is a structural connection of its elements. Its basic formal characteristic is that
elements do not simply enter the system, but enter it as a result of interaction with other elements.</p>
      <p>The most common relations in real domains are:
 equivalence relation,
 taxonomic relation,
 structural relation,
 dependency relation,
 topological relation,
 cause and effect relation,
 functional relation,
 chronological relation,
 similarity relation,
 conditional relation,
 target relation.</p>
      <p>However, not all of these ontological relations are equal, and we can single out in this set of relations
the most fundamental ones – relations of taxonomy and mereology. While the term "taxonomy" is quite
widespread and does not require additional definition, the term "mereology" is used much less often in
research related to information technologies and therefore needs additional explanation that we propose
in this research work.</p>
      <p>Some relation is called fundamental if it can be used as a base of formal system with main
mathematical concepts. There are four fundamental relations of mathematics:
 the membership relation (ZF and NF set theory),
 the relation between a function, its argument and the result (von Neumann set theory),
 the naming relation (“is_a” of Lesnevsky ontology),
 the relation "part-whole" (mereology).</p>
      <p>Set theories are concentrated on belonging relations between a set and its elements. As opposed to
them, mereology considers various meronomic relations between entities that are closer to set inclusion
relation.</p>
      <p>Different approaches differ in axiomatic definition of mereology but all of them have such
hypothesis about properties of "part-whole" relation:
 every object is a part of itself (reflexivity),
 every part of a part of a whole is itself a part of that whole (transitivity),
 two separate objects cannot simultaneously be part of each other (antisymmetry).</p>
      <p>The basis of T. Kotarbynsky's metaphysical research is Lesnevskyi's ontology, which he used to
formalize the basic laws of existence.</p>
      <p>This ontology consists of two categories, the theory of names, as a rule, is intended to express a
twocategory ontology. The theory of names with one category, represented by Lesnevsky's ontology axiom,
is related to one-categorical ontology, which is caused by the nominalism of its author. However,
Lesnevsky does not say anything about the nature of things existing in the world according to this
ontology. Lesnevsky's ontology is a formal ontology in the nominalist version, where all objects are
individual, single objects. Kotarbynsky's ontology is something more, because it talks about what
individuals are (according to Kotarbynsky, they are things). Kotarbynsky called his ontological concept
rheism, in which over time he began to distinguish rheism in the ontological sense and in the semantic
sense). Ontological realism is based on two statements:
 (P1) every subject is a thing;
 (P2) no object or state is a relation or a property.</p>
      <p>Both statements are formulated in the language of Lesnevsky's ontology, that is, assuming that the
binding "is" has the main meaning determined by Lesnevsky's ontology axiom.</p>
      <p>Kotarbynsky considered things as bodies that has temporal and spatial characteristics. This decision
was motivated by the ideas of Lesnievskii and primarily by the mereological concept of class. An
individual subject is considered by Kotarbynsky to be not only a single subject, but also an aggregate
consisting of such single subjects, that is, a class in the mereological sense.</p>
      <p>Following Lesnievskii, Kotarbinsky accepted the existence of mereological sets, not distributive
sets. He believed that the definition of things as bodies would agree with the mereological interpretation
of sets. Kotarbynsky defines the semantic nature of names: names are expressions that can be subjects
or predicates of sentences, denoting things or personalities.</p>
      <p>Mereology is not a logical theory, but a doctrine of parts. Its features can be analyzed in comparison
with the distributive theory of sets. Statement “x belongs to the set X” (in the distributive sense) means
only that x has the property X. In the mereological sense, the set is a "whole" or a collective aggregate,
that is a completely defined physical object representing a composite of parts. For example, Ukrainian
society as a mereological set consists of people living in Ukraine, of various social groups that make
up Ukrainian society and, finally, of this society itself. Consequently, every one-element set is identical
with the element itself, that the set X can be identical with the set Y, but X and Y may in the general
case be the names of different objects. There are no empty sets in mereology, and the relation "part of”
is a transitive relation for mereological sets and not transitive for distributive sets.</p>
      <p>Ontology is related to mereology and can be analyzed as syntactic framework of the mereology
without such clarifying terms as "subject".</p>
      <p>In mereology, the relation "part-of" has the following properties:
1. Asymmetry: (x  y)  (y  x) ;
2.</p>
      <p>Transitivity: (x  y)  (y  z)  x  z .</p>
      <p>The system is a structural combination of its elements. Basic formal characteristic of system is a
result of interaction with other elements and can’t be reduced to properties of elements. The four-digit
relation M (a,b,c,s) means that in the system s the element a is connected to the element b by means of
the relation c, which is usually denoted as a c b , if S is clear from the context, and c connects only
these two elements.</p>
      <p>For mereology the axiom of volume is fulfilled: systems that connect the same objects in the same
ways are equivalent.</p>
      <p>The main axioms of mereology:
Axiom 1. There is an empty system sx, y, cM(x, y, c)   , and such a system is unique.</p>
      <p>Axiom 2. A system that has
s(x, y, cM(x, y, c,s)  zM(s,s, z,s)) .</p>
      <p>at
least
one
part
is
itself
a
proper
part:</p>
      <p>Axiom 3. If two objects can have several different connections, then the presence of an empty
connection denies the possibility of any other connection:
x, y,s(M(x, y,,s)  c(M(x, y, c,s  M(y, x, c,s)  c  ) .</p>
      <p>Mereology has some other axioms that define specific relations between the general system and its
elements and parts.</p>
      <p>All mereological relations can be separated into such subclasses:
 Component-Object;
 Member-Collection;
 Part-Mass;
 Material-Object;
 Property-Activity;
 Stage-Process;
 Locality-Region.</p>
      <p>Most studies of “part-whole” relations are devoted to the study of parts, but different types of wholes
can be identified according to the following properties:
 Is it a separate part from the whole? ("melody-song" or "wagon-train").
 Is part spatial or temporal? ("room-apartment" or "winter-year");
 Does the part play a certain functional role in relation to the whole? ("engine-car").
 Are the parts indivisible? ("atom-molecule").</p>
    </sec>
    <sec id="sec-5">
      <title>5. Specifics of formalization of the Web complex encyclopedic IRs </title>
      <p>For creation of IR with complex structure of knowledge and large number of various information
objects (IOs) and their classifications (such as encyclopedic IRs) we need to create a formal domain
specification that clearly defines types of relations between individuals and classes. Incorrect
classification of IO can negatively affect the quality of information and lead to its incorrect
interpretation by users. Therefore, we analyze the use of mereologic elements for development of
encyclopedic IR based on semantic Wiki-technology: semantic properties and their processing are used
as software realization of mereologic categories, but embedded possibilities of Semantic MediaWiki
are not enough for describing such complex structures.</p>
      <p>Important part of development of encyclopedic resources deals with approaches to instruments and
models of the Web publication. Now popularity of online encyclopedias is caused by their accessibility,
adaptive user-oriented interface and content actuality.</p>
      <p>
        The use of modern knowledge management technologies in the Web provides users with much more
opportunities for analyzing and retrieval of information. Unfortunately, even the most advanced and
popular online encyclopedias, usually, do not explore the methods and means of knowledge
management that become the standard for other types of intelligent Web-applications. For example, the
widely known Wikipedia is based on Wiki-technologies, but does not use their semantic extension. As
a result, the knowledge contained in such IR cannot be processed by modern means of data analysis.
This significantly narrows both the functionality of the encyclopedic editions themselves and the scope
of their use. But the choice of means of semantization of Wiki-technologies is a separate scientific
problem that has to take into account the specifics of user task and domain structure [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ].
      </p>
      <p>
        The portal version of the Great Ukrainian Encyclopedia (e-VUE – vue.gov.ua) is an OS-INT
resource that uses the open source MediaWiki technological platform [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] and its semantic extension
SMW, which provides a formal definition and processing of the content of links between Wiki-pages,
taking into account the Semantic Web standards [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ].
      </p>
      <p>SMW as a semantic extension of the Wiki-technology allows to define the semantic properties of
such IOs as individual Wiki-pages that correspond to the terms of the domain described in the
encyclopedic IR, and users can see semantic properties of encyclopedic articles and search them by
values of these properties. From the point of view of information technology, the main advantage of
eVUE compared to competing online encyclopedias and reference books (and for most users it is
Wikipedia) is semantization, that is, the representation of data processing and analysis at the level of
semantics. It is very important that semantic properties explicitly define meaning of relations between
e-VUE articles for automated processing. The semantic property is inserted into the text of the
Wikipage in the format [[name::value]]. This syntax is very similar to regular Wiki-links to other pages.</p>
      <p>If IOs are connected by non-semantic links then user needs to read the text of the pages, analyze the
context of the link and try to determine its content on his/her own. If IOs contain semantic links then
their content is defined clearly, unambiguously and uniformly – one name should be used for all
properties with the same content.</p>
      <p>e-VUE uses templates for typical information objects (TIO) – pages with the same or a similar set
of semantic properties (with same sets of properties, but not their values). It is important to create a
semantic property, define its name and type, and only then use it in the Wiki-pages. Development of
complete and consistent system of such properties is one of the labor-intensive components within the
development of the encyclopedic IR knowledge base structure.</p>
      <p>The use of ontological analysis for the construction of types of e-VUE IOs allows us to define the
semantics of these types, determine the relation between them, analyze which types of IO are redundant
or duplicate each other, and which ones need to be added. In addition, ontology clearly defines the
semantics of relations between types of IOs that correspond to typical schemes of e-VUE articles from
different areas of knowledge.</p>
      <p>For example, typical schemes of articles from the field of "geographical sciences" contain the
following TIO:
 Article about an independent state;
 A unit of the administrative system of an independent state;
 An article about a foreign city: the capital / the center of an administrative unit / a large city;
 Article about the administrative region of Ukraine / Autonomous Republic of Crimea;
 An article about Ukrainian city;
 Article about the continent.</p>
      <p>This classification corresponds to the methodology of e-VUE development, but may cause certain
difficulties in the search process. Elements of this classification and analysis of the relevant articles
content provide the set of TIOs for geographic IOs of e-VUE (this is not a complete list but an
illustration of the proposed approach):
 Continent;
 State;
 City;
 Region;
 The capital of the state.</p>
      <p>In this set we join such IOs as foreign and Ukrainian cities because such articles have similar
structure.</p>
      <p>Currently, e-VUE has a large number of semantic relations of various levels and types. Ontology
that represents links between individuals of these TIOs as object properties contains two object relations
(Fig.1):
 "applies to": "geographical sciences"  "geographic object";
 "located in": "geographical object"  "geographical object".</p>
    </sec>
    <sec id="sec-6">
      <title>6. Matching of domain ontologies and semantic Wiki‐resources  </title>
      <p>The ontological model of the semantic Wiki-resource has more impressive possibilities for domain
knowledge representation in comparison with Semantic MediaWiki build-in functional. But use of this
model requires means for matching of ontology components with elements of Wiki-resource to support
their relevance.</p>
      <p>Semantic differences between Wiki-resources and their ontological models arises in several cases.</p>
      <p>First, when creating semantic Wiki-resources, it is necessary to form a set of categories and semantic
properties. But the built-in tools of Semantic MediaWiki do not allow us to formalize their
characteristics, to visualize this information and to evaluate its integrity and consistency. Therefore, if
some domain is represented by Semantic MediaWiki then it is advisable to build an ontology of this
domain and then use this ontology as a basis for semantic markup of the Wiki pages: appropriate
categories and semantic properties are created on base of ontology.</p>
      <p>Secondly, semantically marked Wiki-resources are much more dynamic compared to ontologies – a
wide range of users can participate in their improvement and restoration, and therefore they can be
useful for improving the relevant domain ontology. If semantic Wiki-resource contains some additional
relations between elements of content then ontological model can be enriched by appropriate
knowledge.</p>
      <p>
        Therefore, we require means that provide changes of ontology caused by changes of Wiki-resource
structure and vice versa. We use formal model of ontology O = &lt; X, R, F &gt; where X is a finite
nonempty set of domain concepts of ontology that can be divided on classes and individuals; R is a finite
non-empty set of relations between ontology individuals; F is a finite set of axioms and interpretation
functions for these concepts and relations [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]. Structure of semantic Wiki IR is represented by
categories Pcateg , semantic properties (data properties and object properties) Psem _ prop _ page ,
nonsemantic hyperlinks L  {"link"} , templates of TIOs Ptemplate and Wiki-pages of their individuals Puser
. We have to define correspondences between elements of semantic structure of Wiki and elements of
domain ontology that characterizes this structure (see Table 1).
      </p>
      <sec id="sec-6-1">
        <title>Category  Pcateg  </title>
        <p>Table 1 </p>
        <sec id="sec-6-1-1">
          <title>Correspondences between the main elements of ontologies and Wiki‐resources  </title>
        </sec>
        <sec id="sec-6-1-2">
          <title>Semantic MediaWiki  Ontology  From Wiki to ontology   From ontology to Wiki  </title>
        </sec>
      </sec>
      <sec id="sec-6-2">
        <title>Class   Xcl   One‐to‐one   One‐to‐many </title>
        <sec id="sec-6-2-1">
          <title>Category Hierarchy  </title>
        </sec>
      </sec>
      <sec id="sec-6-3">
        <title>Wiki‐page  Puser  </title>
        <sec id="sec-6-3-1">
          <title>Link to Wiki page </title>
          <p>L  {" link"}  </p>
        </sec>
        <sec id="sec-6-3-2">
          <title>Semantic property of  "page" type </title>
          <p>Psem _ prop _ page  </p>
        </sec>
        <sec id="sec-6-3-3">
          <title>Semantic property </title>
          <p>differed from "page" 
type  Psem _ prop  </p>
        </sec>
      </sec>
      <sec id="sec-6-4">
        <title>Template  Ptemplate  </title>
        <sec id="sec-6-4-1">
          <title>Class Hierarchy  </title>
        </sec>
        <sec id="sec-6-4-2">
          <title>Class individual </title>
          <p>X ind  </p>
        </sec>
        <sec id="sec-6-4-3">
          <title>Object property </title>
          <p>R  </p>
        </sec>
        <sec id="sec-6-4-4">
          <title>Object property </title>
          <p>{ri} 
Data property {pi}  </p>
        </sec>
      </sec>
      <sec id="sec-6-5">
        <title>Class   Xcl  </title>
        <p>Pcateg  Xcl  
one‐to‐many 
one‐to‐many 
Puser  Xind  </p>
        <p>One‐to‐one  
L  {" link"}  R  </p>
        <p>One‐to‐one  
Psem _ prop _ page  {ri}  </p>
        <p>One‐to‐one  
Psem_ prop  {pi}  </p>
        <p>One‐to‐one  
Ptemplate  Xcl  
 </p>
        <p>It should be noted that in many cases it is necessary to define properties more specifically, because
their characteristics, such as symmetry and transitivity, act only within a certain subset of elements
connected by properties of the same type. For example, the transitive mereological property "is a
component" or symmetric property of semantic similarity. Let us consider the following illustrative
example: humans are members of a political party, and arms and legs are parts of a human body, but
we do not say that political party contains arms and legs. It is clear for human understanding, but not
for machine processing. Therefore, it is advisable to define more accurately separate subtypes of various
semantic properties while creating an encyclopedic publication intended for the Web. In this work, this
approach is based on the application of 7 types of mereological relations (Table 2), which specify the
content of the "part-whole" relation, but in the future, similar actions have to be performed for semantic
properties of other types. It is important to note that due to universality in e-VUE, not a single hierarchy
of mereological properties is used for connections between concepts, but a constantly expanding set of
Xcl  Pcateg  Ptemplate  </p>
        <p>One‐to‐one  
One‐to‐one  
Xind  Puser  </p>
        <p>One‐to‐one  
R  L  {"link"}  </p>
        <p>One‐to‐one  
{ri}  Psem _ prop _ page  </p>
        <p>One‐to‐one  
{pi}  Psem _ prop  </p>
        <sec id="sec-6-5-1">
          <title>One‐to‐many </title>
          <p>Xcl  Pcateg  Ptemplate  
independent hierarchies – for example, the same personality can be an element (part) of a scientific
school, a political party, a resident of a country or cities, etc.</p>
          <p>To create semantic properties in Semantic MediaWiki, a special page "Create property" is used in
e-VUE (Figure3). Semantic MediaWiki allows us to specify the name of a semantic property, its type
(e.g. page, text, or number), as well as a brief definition and description of the property's scope.</p>
          <p>Examples of semantic properties developed for formalization of mereological relations: “is a part
(component)”, “is part of (member)”, “is part of (material)” and their inverse ones: “has part (object)”,
“has part (collection)”, etc.</p>
          <p>Inverse properties are not explicitly supported in Semantic MediaWiki, so to define semantics of
inverse link between pages we need to create such inverse property separately. For example, the inverse
one of the mereological property "Needed for" is the property "Uses". Unfortunately, Semantic
MediaWiki does not support automatic validation of property characteristics, and therefore, it is
advisable to formalize the characteristics and relations of semantic properties using domain ontology.
Such ontology reflects the semantics and structure of the knowledge base of a semantized Wiki resource
(as opposed to non-semantic Wiki-resources, due to various additional semantization possibilities this
must be done for rather complex IPs to avoid ambiguous understanding of the content of the properties
by different content developers) and can register inverse pairs of object properties.</p>
          <p>In order to simplify the process of use of semantic properties that determine the meaning of relations
between e-VUE articles we develop a special template "Relation" (Figure 2). This template is currently
at the approval stage, and, in future, it can be extended by other semantic properties.</p>
          <p>When creating ontologies, it is necessary to clearly define to which type of relations those relations
established between terms belong. Misclassification can negatively affect the quality of ontologies.</p>
          <p>To solve many applied problems, it is possible to use thesauruses instead of ontologies as a semantic
model of knowledge. Until recently, the terms "ontology" and "thesaurus" were used as synonyms, but
now in IT, the thesaurus is more often used to describe vocabulary in projection onto semantics, and
ontology is used to model semantics and pragmatics in projection to the presentation language.</p>
          <p>Usually, the thesaurus T is defined as a dictionary that contains lexical items (LI) with an indication
of semantic relations between them.</p>
          <p>A thesaurus (according to the third definition) can be considered as a special case of ontology, which
is much easier to form and analyze, but it certainly does not provide the ability to present certain more
complex knowledge structures.</p>
          <p>Many authors consider the thesaurus as a hierarchical structure or a series of hierarchical structures
that group groups of concepts with common characteristics that are expressed in terms of natural
language. For most real-world domains, this is not the case, as the various relations used in the domain
are incommensurable (e.g. "the article is written by the author", "the program is developed by the
language").</p>
          <p>More correctly, the thesaurus can be represented as a semantic network. In the nodes of such a
network there are terms connected by relations from a limited set. It is also advisable to use oriented
graphs and frames to present the thesaurus. Following many of the advantages of the semantic network,
the frame network allows representing as vertices complex structures (frames) that have, in particular,
unfilled fields (slots), which gives new possibilities when describing nested structures, switching
between different applications.</p>
          <p>Knowledge of these theoretical principles helps to more precisely define the mereological relations
introduced into the ontology. Having defined the type of relation according to such a classification, it
is possible to more clearly determine whether one or different relations can be used to define the
relations between concepts.</p>
          <p>When updating the semantic links between the thesaurus terms, you can use the knowledge of
experts, as well as documents designed to record the domain knowledge structure (dictionaries,
classifiers), and the knowledge itself that reflects the domain (abstracts, articles, monographs).</p>
        </sec>
        <sec id="sec-6-5-2">
          <title>Figure 2: The "Relation" template and its use in e‐VUE </title>
        </sec>
      </sec>
    </sec>
    <sec id="sec-7">
      <title>7. Conclusions </title>
      <p>The use of mereology as a theoretical basis for the definition of subtypes of "part-whole" relations
between pages of semantics Wiki-resource makes it possible to define their meanings more clearly. It
is important for encyclopedic IRs with complex structure of knowledge base that contains various
domain-specific relations between concepts. If we can distinguish relations with different meanings for
their automatic processing then we improve navigation in the resource and reduce the time needed by
users to search for the necessary information.</p>
      <p>With the help of a mereological approach, classification and differentiation of subtypes of widely
used "part of" semantic relations becomes more understandable for editors who add semantic markup
to e-VUE articles submitted to portal. Construction of specific relations within each subtype is
determined by the content of this encyclopedic IR, but presence of classification criteria greatly
simplifies the search for a desired relation.</p>
      <p>Usage of the ontology represented by OWL language to formalize the characteristics of mereological
relations ensures the unambiguity of their interpretation and reduces the probability of errors in their
use.</p>
    </sec>
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