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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>ontology for knowledge organization systems, their constituents, and their referents</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Jean Noel Nikiema</string-name>
          <email>jean.nikiema@umontreal.ca</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Fleur Mougin</string-name>
          <email>fleur.mougin@u-bordeaux.fr</email>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vianney Jouhet</string-name>
          <email>vianney.jouhet@chu-bordeaux.fr</email>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Stefan Schulz</string-name>
          <email>stefan.schulz@medunigraz.at</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Averbis GmbH</institution>
          ,
          <addr-line>Freiburg</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>CHU de Bordeaux, Pôle de santé publique, Service d'information médicale</institution>
          ,
          <addr-line>Bordeaux</addr-line>
          ,
          <country country="FR">France</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Department of Management, Evaluation and Health Policy, School of Public Health, Université de Montréal</institution>
          ,
          <country country="CA">Canada</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Medical University of Graz, Institute for Medical Informatics, Statistics and Documentation</institution>
          ,
          <addr-line>Graz</addr-line>
          ,
          <country country="AT">Austria</country>
        </aff>
        <aff id="aff4">
          <label>4</label>
          <institution>Univ. Bordeaux, Inserm UMR 1219, Bordeaux Population Health Research Center</institution>
          ,
          <addr-line>team AHeaD, Bordeaux</addr-line>
          ,
          <country country="FR">France</country>
        </aff>
      </contrib-group>
      <fpage>130</fpage>
      <lpage>141</lpage>
      <abstract>
        <p>The structure of knowledge organization systems (KOSs) - domain vocabularies, thesauri, terminologies, classification systems, and ontologies - follows diferent architectural principles and semantic theories. However, many use cases require their integrated use in a given domain. Building a common framework for KOSs is then a prerequisite for any principled account of their use when data annotated by diferent KOSs should be integrated. We propose an approach rooted in formal ontology, the aim of which is to harmonize the description of the domain itself with the description of the representational artifacts that claim to organize and represent knowledge of this domain. We propose a transparent framework for describing KOSs with a focus on the biomedical domain. Using comprehensive and consistent terminology, we formalize what KOSs represent by introducing KOSonto, an ontology that characterizes representational artifacts on the one hand and describes the relationships to their referents in the domain of application on the other hand. KOSonto uses OWL-DL axioms and is built under BFO and IAO. It accounts for a range of elements that are characteristic of diferent kinds of KOSs. We illustrate how KOSonto can be used to describe typical biomedical KOSs such as ICD-10, SNOMED CT, and MeSH. Further work will improve the alignment of KOSonto to foundational ontologies and apply this framework to optimize the creation, use, and reuse of mappings between heterogeneous KOSs.</p>
      </abstract>
      <kwd-group>
        <kwd>Knowledge organization systems</kwd>
        <kwd>formal ontologies</kwd>
        <kwd>KOSonto</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        For decades, biomedical informatics has focused on artifacts for organizing domain
knowledge [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Terminologies, controlled vocabularies, dictionaries, thesauri, classifications,
nomenclatures, and ontologies – for which we will use the overarching term “knowledge
organization systems” (KOSs) [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] – vary in scope, granularity, and design principles. Most of them
Brazil
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      <p>ceur-ws.org
ISSN1613-0073
were created to address specific use cases, often without making their model of meaning explicit.
Eforts invested in KOSs have contributed to interoperability and to a better understanding of
(classes of) domain entities and the terminological units that refer to them. However, many
of the current denominations for KOS are imprecise and misleading. Particularly, the terms
“Controlled vocabulary” and “Terminology systems” are misleading because they suggest that
these systems mostly describe human language, although they are often applied to KOSs that
have a clear focus on the description of domain entities. For example, systems like ICD-10,
ChEBI, the Gene Ontology, and the NCBI taxonomy are often referred to as controlled
vocabularies although they do not convey any lexical information. Words such as “term”, “concept”,
“ontology”, “entity”, “descriptor”, “class”, “property”, and “relation” are used inconsistently,
which leads to misunderstandings, particularly in cross-disciplinary cooperations. It also raises
the question of why attempts to standardize the entities of a given domain, viz. biomedicine
and health, are not underpinned by a meta-level standardization of the description of the realm
of representation itself, viz. its symbols and its relation to the language and the reality of the
domain itself.</p>
      <p>
        Only a few principled analyses of the domain of representation itself have been carried out. In
the 1990s, MIVoc set out to standardize basic semantic notions in medical informatics [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. Since
then, library science, linguistics, philosophy, and the semantic web have fueled knowledge
organization activities, without much uptake of MIVoc, which was withdrawn in 2006. Addressing
the need for international cooperation, a multilingual scale standardization initiative has been
proposed [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], again with only minor generalizations of the usage of this initiative. The result is
a confusing mix of approaches, theories, technical terms, and conceptualizations that have been
waiting for a thorough cleanup.
      </p>
      <p>
        It is imperative to carry out this long-awaited cleaning-up process due to the growing
importance of diverse KOSs, such as ICD-10, SNOMED CT, MeSH, and MedDRA for biomedical
knowledge management. Each of these systems possesses a particular structure, user community,
scenarios of use, and representational philosophy. This is particularly pressing where the
integration and alignment of KOSs require semantic harmonization between KOSs (and data
annotated with them). Indeed, KOSs have always been used in combination. Therefore, despite
their structural and semantic heterogeneity, semantic links and correspondences between their
elements are sought. There is a long tradition of building bridges between biomedical KOSs. KOS
alignment has been an important topic in the semantic web and knowledge graph communities.
Numerous heuristics for KOS alignment/mapping/harmonization have been described [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. In
the biomedical domain, the UMLS Metathesaurus [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] has been of great benefit as the
longestrunning and most enduring efort of KOSs alignment. Additional eforts such as HeTOP [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] and
BioPortal [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] are also noteworthy. These resources, driven by practical needs, support some
integration of KOSs, without emphasizing their semantic particularities [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. Only the UMLS
Metathesaurus mappings are continually revised manually by domain experts, although there
are some automation initiatives [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
      </p>
      <p>
        This paper proposes a ontology-based framework for describing KOSs themselves, together
with what they denote. We propose “KOSonto”, an OWL model under Basic Formal Ontology
(BFO) 20201 [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] and using elements of the Information Artifact Ontology (IAO)2 [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], which is
available at https://github.com/JeanNikiema/kosonto. We believe that only after a principled
ontological analysis of the constituents of typical KOSs and their representational commitments
the value and restrictions of diferent kinds of KOSs will be suficiently determined, and the
consequences of an alignment between KOSs of diferent kinds be predicted. A clear and
consistent terminology for KOSs themselves should avoid the pitfalls of divergent
interpretations of ill-defined words like “ontology”, “concept”, “entity”, “property”, or “knowledge”. We
deliberately avoid most of these words (or only use them in a clear context, such as “SNOMED
CT concept”).
      </p>
      <p>The paper is structured as follows: Section 2 presents KOSonto based on a KOS content
framework; in Section 3, we describe some biomedical KOSs (ICD-10, MeSH, SNOMED CT, and
a small HL7 value set) according to KOSonto; and we discuss our main findings in Section 4.</p>
    </sec>
    <sec id="sec-2">
      <title>2. KOSonto – The ontology of knowledge organization systems</title>
      <sec id="sec-2-1">
        <title>2.1. Kinds and content of knowledge organization systems</title>
        <p>
          Diferent elements support the characterization of KOSs as a meaningful ontological category.
First, we consider all KOSs information content entities (ICEs) according to IAO. ICEs are
immaterial but inherent in one or more material bearers [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ]. For instance, the content of the
KOS (e.g., SNOMED CT) just as of a work of fiction (e.g., Victor Hugo’s “Les Contemplations”),
both ICEs, can be stored in many electronic storage systems at the same time. In addition, the
constituents of KOSs are also ICEs, e.g., the concept 195967001 – “Asthma (disorder)” or the
poem “Vere novo”, respectively. Secondly, KOSs and their constituents are linked to referents
(detailed in the following subsection) in a real or fictional world they intend to represent. Finally,
they are artifacts and as such created by humans. With these three characteristics, KOSs are
representational artifacts [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ] constituted by a number of representational units (RUs),
which denote particular referents. Accordingly, a backbone of a common KOS framework
requires a clear characterization of both referents and RUs. KOSonto uses OWL-DL axioms
and is classifiable using the HermiT reasoner [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]. The reason for the choice of OWL-DL is
popularity, tool support, and human understandability, but also the appropriateness of this
language for representing a mostly static domain. KOSonto includes a typology of possible
referents of RUs and their ontological foundation, the ontological nature of the RUs themselves,
the symbols used in KOSs, and a typology of KOSs.
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>2.2. The referent as the kind of entity of what is represented in KOSs</title>
        <p>A referent is what is represented in a KOS, more precisely the thing in the world that is denoted
by a RU of a KOS. Everything can be a referent, as the only requirement for being a referent is to
be denoted. “Referent” is therefore not a meaningful ontological category and not represented
in KOSonto. KOSOnto is based on three fundamental categories: particular entities, type entities,
and class entities.</p>
        <sec id="sec-2-2-1">
          <title>1https://basic-formal-ontology.org/BFO-2020/ 2https://github.com/information-artifact-ontology/IAO/</title>
          <p>
            Particular entities3 are concrete in space and time, have objective existence and ontological
significance, and exist independently of human perception or language [
            <xref ref-type="bibr" rid="ref16">16</xref>
            ]. We introduce the
class Particular as the disjunction of bfo:Continuant and bfo:Occurrent.
          </p>
          <p>Type entities (or types) correspond to repeatable, or instantiable (often qualified as abstract)
entities. When a type is instantiated by a specific particular, this particular can be referred to as
an instance of this type. We divide them further into:
• Universals as defined by Aristotle : encompass anything that can be instantiated by
particulars. Aristotelian universals are immanent, i.e. they exist in their instances, which
precludes universals without instances such as unicorns or intergalactic travels.
• Types by intension: represent entities of meaning given by means of a formal definition,
comparable to the characteristic function in set theory. They do not necessarily extend
to things in reality. They allow for defining, e.g., a unicorn as being a pink horse with a
single horn, without however claiming its existence. Intensional meanings have classes
of particulars as their extensions, including empty classes.
• Types by extension: depend on their particular members, without further descriptions.</p>
          <p>For example, the set {America, Europe, Africa, Asia, Antarctica, Oceania} necessarily
and suficiently corresponds to what is understood by “Continent”. However, such
representations are not very common in the biomedical domain.
• Cognitive types: correspond to mental representations rooted in language and sensory
perceptions, regardless of any concrete correlation. A cognitive representation of a
particular or conceptual unicorn or the use of the word “centaur” does not mean that
unicorns or centaurs exist. We introduce FictionalType as a subclass of CognitiveType for
those things that exist in a fictional world only.</p>
          <p>
            Class entities (or classes) are central elements of description logics and are
sometimes considered equivalent to types [
            <xref ref-type="bibr" rid="ref17">17</xref>
            ]. Their set-theoretic semantics
emphasizes the importance of classes of particulars. This is why we grant them a
prominent status as siblings of Particular entities and Type entities and fully
deifne them as the extension of a type that can have only particulars as members:
Class equivalentTo (extends 
type ) and (has_member
          </p>
          <p>Particular).</p>
          <p>
            (1)
In KOSonto, classes are always implemented as classes of OWL particulars, ensuring a coherent
and well-defined framework. It manages to sidestep the logical conundrum presented by
Russell’s paradox [
            <xref ref-type="bibr" rid="ref18">18</xref>
            ] and maintains its operational eficacy. Thus, the definition of classes
is provided by the set of characteristics of their actual or potential members, the undefined
cognitive meaning, or the universal properties inherent in all their members. Whether a class
is currently or supposed to be empty is not a unifying criterion. For example, the classes that
extend the types Unicorn, Centaur, and Elf are not identical. Indeed, classes may exist without
any particular member having all the characteristics identified to be a member. Classes are
defined if their necessary and suficient characteristics allow a particular entity to be recognized
as a member of this class; otherwise, the classes are considered primitive.
3To avoid confusion we highlight that particular entities are modelled as OWL individuals (A-Box elements), but
types are also modelled as A-Box entities.
          </p>
          <p>Summing up, types have actual or at least hypothetical instances; the instances of a type are
the members of the class it extends to. In OWL, the operator to express class membership is,
rather confusingly, rdf:type4. OWL requires a bi-partition between classes (T-box entities) and
individuals (A-box entities). For understanding our model, it is therefore important to be aware
of the ontological notion of particular as introduced above and the technical notion of “OWL
individuals”. Note that all types in the ontological sense are therefore modelled in KOSOnto
as OWL individuals, along with particulars proper. KOSonto introduces the object property
instance_of as the relation between a particular and a type in the above sense, and is_a as
the transitive relation between two types (modelled as A-box entities, i.e. OWL individuals).
Our example ontology illustrates the parallelism between types and classes as follows. The
axiom asserting that a particular that instantiates a type  1 also instantiates  2 if  1 is_a  2 is
expressed by the property inclusion “instance_of ∘ is_a subPropertyOf instance_of”.
We have the A-Box entities (OWL individuals) Horse , Vertebrate and Animal as
members of AristotelianUniversal, on which an OWL reasoner (with A-box reasoning) computes
the following expected inferences5:</p>
          <p>Statements on OWL individuals
Bucephalus; Facts: instance_of Horse</p>
          <p>Horse ; Facts: is_a Vertebrate
Vertebrate ; Facts: is_a Animal
(2)
(3)
(4)</p>
          <p>Reasoner inference
Bucephalus; Facts: instance_of Vertebrate (5)
Bucephalus; Facts: instance_of Animal (6)
Horse ; Facts: is_a Animal (7)
We then define OWL classes (T-box entities) based on the hierarchy modeled in the A-box:</p>
          <p>Statement</p>
          <p>Horse equivalentTo instance_of value Horse
Vertebrate equivalentTo instance_of value Vertebrate</p>
          <p>Animal equivalentTo instance_of value Animal
(8)
(9)
(10)</p>
          <p>Reasoner inference</p>
          <p>Horse subClassOf Animal
Vertebrate subClassOf Animal</p>
          <p>Thus, we represent the hierarchical structure of the ontology at the A-box level underneath
the type hierarchy. In KOSonto, we introduce FictionalType subClassOf CognitiveType. While
FictionalType does not require specifying the kind of instances of fictional types, the FictionalType
class only allows instances of the InformationContentEntity (ICE) type. We can therefore
distinguish between types of particulars: (i) those that are not ICEs, (ii) those that are ICEs, and
(iii) those that are uncommitted: e.g., horses, centaurs (mythical human-horse hybrids), and
sumxus (animals of which science disagrees whether only mythical or really existing), or green
horses (potential future breeding result). At the A-box level, these entities can nevertheless
be linked together, using formal relations such as is_a or instance_of but also by informal
relations such as is_narrower_than in addition to the aforementioned relations:</p>
          <p>Individual: Sumxus ; Facts: is_a Vertebrate
Individual: GreenHorse ; Facts: is_a Horse
(11)
(12)
(13)
(14)</p>
        </sec>
        <sec id="sec-2-2-2">
          <title>4http://www.w3.org/1999/02/22-rdf-syntax-ns#type</title>
          <p>5In the equations, classes are depicted in italics, KOSonto relations and A-Box entities are represented in bold, and
other parts of the OWL syntax are shown in normal font. Names of OWL individuals that symbolize types have
“type” as subscript.</p>
          <p>Facts: is_narrower_than Vertebrate
Facts: instance_of Centaur
(15)
(16)
with Centaur being a member of FictionalType while Sumxus or GreenHorse
could just be members of CognitiveType or even TypeByIntension. The latter case applies to the
scenario where suficient defining criteria exist, as in the case of the green horse:</p>
          <p>GreenHorse equivalentTo instance_of GreenHorse (17)</p>
          <p>GreenHorse equivalentTo Horse and has_proper_part some (Hair and bearer_of GreenColor) (18)
GreenHorse is a member of type, without commitment to the existence of non-informational
instances in reality, other than if it were introduced as a member of AristotelianUniversal. It is
therefore left open whether the defined class ( 18) has members. This degressive description
is crucial, considering that in certain cases, fictional entities, metaphors, or analogies may be
introduced in KOSs to model specific conditions or processes and facilitate the understanding of
intricate phenomena. The important concept “Chi” in traditional medicine systems illustrates
the need for such a specification. Other examples are mental disorders whose understanding
evolves over time in line with new research, clinical insights, and social acceptance (e.g., malleus
maleficarum or neurasthenia) or whose existence are denied.</p>
          <p>One might argue that types, in the broadest sense, also include relational objects such as
predicates or relations, just like mathematical objects in general. A discussion of this is beyond
the scope of this paper, in which we refer only to ICEs (cf. subsection 2.3).</p>
        </sec>
      </sec>
      <sec id="sec-2-3">
        <title>2.3. The representational unit as an atomic representation in KOSs</title>
        <p>Having presented the range of possible referents for KOS elements – with a digression beyond
realism in order to demonstrate the model’s flexibility – we now turn to the RUs themselves and
their grounding in KOSonto. All RUs are ICEs in the sense of IAO, i.e. generically dependent
continuants. What can be considered an atomic form of representation in KOSs varies. We
propose a diferent kind of RUs by using the referent as support of categorization. By answering
the question from the perspective of a KOS builder (Once we have identified the referent, how
can we represent it in a KOS? ) and from a KOS user (For a specific referent, what is its atomic
form of representation in a KOS? ), we can identify three overlapping and inclusive levels of RUs.
Each of these atomic representations can point to a referent. The minimal requirements for
RUs are expressed by (19). This corresponds to level 1, with a term being a human-readable
word or phrase, belonging to a domain-specific vocabulary. If it acts as a preferred label, it
must be unique in the KOS. Labels are often artificially constructed (e.g., “Biopsy of head
and neck structure”) but self-explanatory and unambiguous, regardless of their use in human
communication. Although a label can act as a unique identifier, alphanumeric identifiers are
more common, apart from the preferred label.
RepresentationalUnit equivalentTo InformationContentEntity and
proper_part_of some KnowledgeOrganizationSystem and</p>
        <p>not (has_proper_part some RepresentationalUnit) and
((has_proper_part some (Literal and bearer_of some IdentifierRole ) and
has_proper_part some (NaturalLanguageTerm and bearer_of some PreferredLabelRole)) or
(has_proper_part some OWL_ClassExpression))</p>
        <p>In most cases, KOSs ofer more than one term per RU ( level 2), and they play diferent
roles. KOSonto distinguishes PreferredLabelRole from EntryTermRole with the subclasses
ExactSynonymRole, CloseSynonymRole, AmbiguousSynonymRole, HyponymRole, EllipticSynonymRole.
Exact synonyms have the same meaning as the preferred label, and close synonyms have a very
similar meaning in the context of the use of this RU. Ambiguous synonyms belong to more than
one RU in a KOS, e.g., “lead” for an electric contact or for the chemical element “Pb”.</p>
        <p>
          According to the definition provided in [
          <xref ref-type="bibr" rid="ref19">19</xref>
          ] for composite representations, KOSonto
introduces three composite representations: definitions, descriptions, and exemplifications.
Definitions provide suficient and necessary criteria whereas descriptions (also known as
elucidations, e.g., in BFO 2020 [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ]) provide only necessary criteria. Exemplifications are
descriptions by means of concrete examples. RUs with composite representations are introduced
in KOSonto as ExplainedRepresentationalUnit :
        </p>
        <p>ExplainedRepresentationalUnit equivalentTo RepresentationalUnit and
bearer_of some CompositeTextualRepresentationRole and
has_proper_part some Literal
(20)</p>
        <p>Another form of representation is an axiomatic representation. RUs may have composite
representations as axioms described in a formal language:</p>
        <p>FormalRepresentationalUnit equivalentTo RepresentationalUnit and
bearer_of some DefiniendumRole and
proper_part_of some LogicalAxiom</p>
        <p>Logical axioms are constituted by logical constructors (symbols and literals) respecting
a specific syntax and grammar, e.g., OWL syntax. Logical axioms can be the only atomic
representation available for a referent (level 1), or provide, with or without textual composite
representations, additional information regarding an RU’s referent(s) (level 3).</p>
        <p>
          We have excluded from our analysis those KOS components that denote relational entities, i.e.
in their broadest sense n-ary predicates. Whether they are “first-class” RUs or mere connectors
between RUs is controversial. KOSonto includes them as subclasses of BinaryPredicate and
TernaryPredicate and further elaborates on subclasses of these property classes in terms of
hierarchy-building predicates, ontological predicates [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ], and predicates according to domain /
range restrictions in terms of types, particulars, or literals. For example, OWL object properties
(OWL_ObjectProperty) are ontological relations that hold between particulars, and OWL datatype
properties (OWL_DataTypeProperty) between particulars and literals. Ternary relations are
not supported by OWL [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ] and rarely occur in ontologies, with BFO 2020 being a notable
exception [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ].
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Application to known biomedical KOSs</title>
      <p>In this section, we briefly apply our framework to some reference biomedical KOSs.</p>
      <p>
        ICD-10 is based on a strictly tree-shaped is_narrower_than hierarchy6. The disjointness
of sibling RUs is a fundamental paradigm, expressed by is_disjoint_with. Exceptions are
RUs named “others”, which can be logically described as the complement of the union of their
siblings. With existing clinical conditions as their referents, ICD-10 RUs can be described as
denoting Aristotelian universals, apart from some examples of epistemic intrusions, such as
H40.0 – “Glaucoma suspect”. Such ICD-10 RUs could be seen as instantiating CognitiveType or
alternatively ICE (denoting practitioner’s knowledge about a patient). Finally, ICD-10 exhibits
its own type-to-type relation named “exclusion”, which restricts the meaning of a given RU
(e.g., Diabetes mellitus excludes known cases of Diabetes in pregnancy). The knowledge about
a patient’s condition, as a relevant coding criterion, sheds light on the unclear nature of
the referents (diseases, signs, symptoms, or diagnoses) [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ]. Finally, ICD-10 exhibits terms
described by EllipticSynonymRole, i.e. terms that implicitly require their hypernym to be
humanunderstandable. An example is “Lip” as a label for D10.0, which is contextualized by the parent
RU D10 – “Benign neoplasm of mouth and pharynx” so that human users intuitively interpret
D10.0 as “Benign neoplasm of the lip”.
      </p>
      <p>MeSH has an informal tree structure, which can best be represented by the
is_narrower_than relation – narrower in meaning as defined by SKOS – because the hierarchy
encompasses both taxonomic and mereological aspects. Its RUs represent topics in biomedical
publications, which are best interpreted as instances of CognitiveType. In the context of MeSH
trees, RUs have a tree number as an identifier (ID). However, the same term may belong to
several trees with diferent identifiers. Tree-related RUs and tree-independent RUs have to
be distinguished. The latter ones (characterized by a separate unique identifier, or UID) can
be interpreted as the hypernyms of the former ones. The hierarchical structure of MeSH is
therefore more than just the overlay of trees because there is no transitivity between branches of
superposed trees via a shared descriptor. As descriptors are ambiguous, there are no unique
labels. For example, the descriptor “Nose” has the tree IDs A01.456.505.733, A04.531, and A09.531,
as well as the UID: D009666. The coverage of entry terms and free-text definitions is large. Due
to the limited granularity of MeSH, many entry terms are not synonyms but hyponyms.</p>
      <p>SNOMED CT is a KOS based on OWL-EL and can thus be seen as a hierarchy of classes. All
its RUs are FormalRepresentationalUnit as they all have axiomatic representations. SNOMED CT
allows post-coordination, then also exhibits composite representation as level 1 RUs. SNOMED
CT concepts can be seen as extensions of AristotelianUniversals or TypeByIntention, although in
some cases such as 249820005 – “Absence of toe (finding)”, a full logical definition, covering
the intended meaning of this RU, is not given due to the lack of negation support in OWL-EL.
For each RU, most terms are synonyms or near-synonyms with the fully specified names in
each language being the preferred label. Textual composite representations are rare. Another
particularity is that, in SNOMED CT, everything is named “concept”, even those RUs that
correspond to binary predicates and which are represented as OWL object properties.</p>
      <p>HL7 hl7VS-appointmentReasonCodes, along with many other so-called value sets of the</p>
      <sec id="sec-3-1">
        <title>6Most of it may be interpreted as is_a</title>
        <p>HL7 standard is here presented as an example of a minimalist form of a KOS, consisting only of
a flat list of RUs, here ROUTINE, WALKIN, CHECKUP, FOLLOWUP, and EMERGENCY. The
labels correspond to the ID of each RU. All RUs in this KOS have free-text definitions. The RUs
denote Aristotelian universals as they can all be instantiated by a particular appointment.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Discussion</title>
      <p>
        Related work. KOSonto is the first, strictly ontology-based, attempt to lay a foundation for a
principled ontological account of KOSs, in order to support interoperability and data integration
in a domain characterized by the use of numerous KOSs with diferent structures, semantics,
partly overlapping content, and diverging use cases. KOSonto is built under BFO and IAO. In
IAO, referents are restricted to particulars, following BFO as an ontology of particulars, although
BFO has never clearly committed to the representation of portions of reality beyond particulars.
However, not all biomedical KOSs of interest are committed to ontological realism [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ] – as
claimed for OBO Foundry ontologies – and not all discourses in science and health have only
particulars or classes of particulars as referents [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ]. KOSonto addresses this by extending BFO
beyond the Continuant / Occurrent bipartition, by introducing the common parent Particular,
which is then juxtaposed to Type and Class. The consideration of types as “first-class citizens”,
besides particulars, can also be found in other upper-level approaches, e.g., Lowe’s four-category
ontology [
        <xref ref-type="bibr" rid="ref25">25</xref>
        ], as well as in the foundational ontologies GFO and UFO [
        <xref ref-type="bibr" rid="ref26">26</xref>
        ]. We have also granted
this role to Class because it is a central element of KOSs and it is an implementation-specific
construct in KOSs. Classes facilitate categorization and organization and can be seen as a
specific manifestation or implementation of a type, not the type itself. Despite the focus on BFO
and IAO in this work – because of the need to represent ICEs – we aim at the compliance of our
approach with other ontological frameworks, including the Ontology of General Topology (OGT),
and the Descriptive Ontology for Linguistic and Cognitive Engineering (DOLCE). KOSOnto
deliberately does not use domain-based frameworks as support, such as the semiotic triad [
        <xref ref-type="bibr" rid="ref27">27</xref>
        ]
or “Ontoterminology” [
        <xref ref-type="bibr" rid="ref28">28</xref>
        ], as it prioritizes practical relevance for KOS harmonization over
attempts to achieve a painful reconciliation of the diverging philosophical views.
Main findings . KOSonto and its application to known KOSs highlight how KOSs of the most
diverse types can be described: from small, non-hierarchical to mono- and multi-hierarchical
systems, from informal to formal ones, and from reality-based to language-centered ones.
Besides providing descriptions for the architectural constituents of KOSs, KOSonto particularly
accounts for a typing of the diferent kinds of referents and their relevance for KOSs: types
whose instances are ICEs, types whose instances are particulars, types that do not commit
to either being hypothetical or real, non-empty classes of particulars or information entities,
non-ontological relations such as is_broader_than. Formal KOSs can be described as KOSs
that contain some FormalRepresentationalUnit and are expressed in a language based on logic,
such as OWL, OBO syntax, or FOL. However, it is important to note that KOSonto has so far
centered on referents that focus on what kind of entity is referenced, and not on the “targeted
referents”, i.e. what particular entity proper is meant by the use of an RU in a health record [
        <xref ref-type="bibr" rid="ref29">29</xref>
        ].
The changing nature and ambiguity raised by the “targeted referent” represent facets associated
with the practical use of RUs, which our framework has not specifically addressed for now.
However, by clearly distinguishing diferent types of referents, it should be compatible with the
ideas underlying the cited “Referent Tracking” paradigm. For example, in John Doe’s record, the
ICD-11 code “2D10.Z” – within an instance of the FHIR resource Condition – has a particular
cancer in John Doe’s thyroid gland as its referent, which is an instance of Thyroid cancer
(equally a member of the class Thyroid cancer, which is the extension of Thyroid cancer ). In
contrast, in another Jane Doe’s record, the same ICD-11 code is present, but in a FHIR Condition
instance where the slot verificationStatus is filled by Refuted. Here, the referent is not a
particular entity (there is no cancer in Jane Doe’s thyroid) but the type Thyroid cancer
itself, referred to in a negation statement (an ICE instance). This points to the potential of
KOSonto in supporting the work on referent tracking. KOSonto also addresses the complex topic
of identifiers, lexical features, and textual composite representations of RUs in KOSs. While
many classical ontologies are not concerned with lexical features of RUs beyond unique IDs and
human-readable labels (e.g., most Gene Ontology classes do not have synonyms), other KOSs
(e.g., MeSH) have their focus on a high coverage of lexical units such as variants, synonyms, and
entry terms. When describing KOSs, we consider the lexical properties such as labels, synonyms,
and textual composite representations as orthogonal to the ontological aspects. Large parts
of SNOMED CT are rich in ontology axioms and also in synonyms and entry terms. Textual
composite representations are only present in a small part of SNOMED CT. On the other hand,
there are small KOSs, such as the HL7 value set described above, which lack both ontological
and lexical richness and are limited to unique labels and textual composite representations.
This shows that an easy, mono-axial categorization of KOSs, e.g., in the sense that axiom-rich
ontologies are at one end of the spectrum and lexicon-rich informal thesauri at the other, is
not satisfactory. Further work will require to align KOSOnto with the descriptions of lexical
features of KOSs, such as OntoLex-Lemon [
        <xref ref-type="bibr" rid="ref30">30</xref>
        ].
      </p>
      <p>
        Limitations. We have intentionally left out all aspects of metadata (provenance, version,
editorial notes, authors, etc.), as there are already initiatives such as the PROV Ontology7 or
Metadata vocabulary for Ontology Description and publication (MOD) [
        <xref ref-type="bibr" rid="ref31">31</xref>
        ]. We deliberately did
not elaborate on the quality issues of KOSs either. Particularly, the mismatch between labeling
and implicit meaning of KOSs in a particular scenario of use is a known issue [
        <xref ref-type="bibr" rid="ref32">32</xref>
        ], particularly
due to numerous exclusion rules in classification systems such as ICD-10, so that labels can no
longer be interpreted literally. There is also the problem of fuzzy and even misleading labeling
of key concepts such as “Clinical finding” or “Qualifier value” in SNOMED CT [
        <xref ref-type="bibr" rid="ref33">33</xref>
        ]. Another
quality issue is the misuse of formal languages such as OWL to express thesaurus-style content,
driven for example by the popularity of the Protégé ontology editor, which seduces users into
creating frame-like knowledge models without being aware of the far-reaching consequences
of logical inference, cf. [
        <xref ref-type="bibr" rid="ref34">34</xref>
        ] for the NCI thesaurus. Similar issues would arise in implementing
classification systems like ICD-10 in OWL [
        <xref ref-type="bibr" rid="ref35">35</xref>
        ]. A detailed analysis of KOS quality issues is
currently not in the scope of KOSonto. On the other hand, our decision to use OWL for the
description of KOSonto limited the expressivity of the ontology. This is a pragmatic compromise
by the authors who recognize the fact that, despite the reasons mentioned above for using OWL,
even OWL is not always well understood and implemented in its full expressivity.
      </p>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusion and future work</title>
      <p>By developing KOSonto, we responded to the need for a principled analysis and description
of KOSs in the biomedical field. The modeling principles of KOSonto are of important
significance, as they lay the foundation for a deeper understanding of how biomedical language
and discourse, biomedical entities in reality, and representational artifacts are interconnected.
Recognizing that KOSs are an extremely heterogeneous class of knowledge artifacts, built by
diferent communities, for diferent purposes, on diferent knowledge organization traditions
and using diferent architectures, it is dificult to foresee a convergent evolution in the near
future. Therefore, the need for mapping between diferent KOSs becomes inevitable, demanding
a common framework. The proposed ontology not only characterizes the representational
artifacts themselves but also delves into their relationships with a wide range of referents,
spanning from real entities to hypothetical and even fictional entities, all of which hold relevance
within healthcare and life science discourse. Moving forward, the next crucial phase entails
evaluating the suitability of the KOSonto framework for formally describing and facilitating
mapping and harmonization activities across diverse KOSs. This evaluation will contribute to
the ongoing search for common ground and improve the efectiveness of creating, using, and
reusing mappings between heterogeneous KOSs.</p>
    </sec>
    <sec id="sec-6">
      <title>6. Acknowledgements</title>
      <p>We would like to express our deepest gratitude to the CRESP research center, for their support
and provision of accommodations during the development of this article.</p>
    </sec>
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