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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>LDAC</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>WoTDT: an Extension of the WoT Thing Description Ontology for Digital Twins in the Construction Domain</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Salvador González-Gerpe</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Andrea Cimmino</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Socorro Bernardos</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>María Poveda-Villalón</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Raúl García-Castro</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Ontology Engineering Group, Universidad Politécnica de Madrid</institution>
          ,
          <country country="ES">Spain</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2024</year>
      </pub-date>
      <volume>12</volume>
      <fpage>13</fpage>
      <lpage>14</lpage>
      <abstract>
        <p>Digital Twins (DTws) are a new category of technologies that enable construction industry to improve the precision of its predictions, make more logical decisions, and develop well-informed plans. To address these problems, it is essential to develop a method for semantically describing the various aspects that model the architecture of a DTw, i.e., representing DTws with formal semantics. This article introduces an extension of the W3C Web of Things (WoT) Thing Descriptions (TD) ontology, called “WoTDT ” (WoT Digital Twin ontology). The WoTDT ontology is based on the most widely adopted architecture that models DTws into five dimensions. Furthermore, since the ontology has been created as a WoT extension, it will ofer benefits such as enabling the discovery of services [ 1] across dimensions or enhancing the accessibility [2] of the information from a specific dimension, thereby promoting data interoperability. In addition, an evaluation of the ontology has been performed to ensure its quality by verifying that it is pitfall-free and covers all identified requirements. Finally, an example of the WoTDT ontology applicability is shown in the context of the European H2020 construction-related project COGITO.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Digital Twins</kwd>
        <kwd>Ontology</kwd>
        <kwd>Web of Things</kwd>
        <kwd>Thing Descriptions</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Construction is one of the most important industries worldwide, and its impact is significant
in various aspects, such as environmental [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] or production costs [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. The complexity of
construction projects, the participation of numerous stakeholders, and the lack of transparency
with data related to these projects contribute to increased costs and delays [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. To address this
matter, a potential approach consists of collecting valuable data associated with construction
sites and analysing it to extract meaningful information that allows informative decision making
that may reduce costs or delays [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
      </p>
      <p>
        Digital Twins (DTws) aim to address and solve these problems rooted in construction projects.
DTws are a planning and optimisation approach that is based on simulations, allowing
construction sites to improve the accuracy of their predictions, make more logical decisions, and
develop well-informed planning processes [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. Moreover, DTws possess two-fold characteristic:
a physical aspect, which includes data pertaining to the actual state of afairs in the physical
world, and a virtual aspect, encompassing the present operational status. The use of DTws in
construction projects has been proved to increase operating eficiency by 35%, sustainability by
50%, reduce labour costs by 50%, increase productivity by 20%, and extend the space that can be
used by 15% [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
      </p>
      <p>
        Even though DTws ofer substantial advantages to construction projects, nowadays there
is a lack of a standardised architecture for DTws that describes their design and guides their
development and implementation. However, there are numerous DTw architectures in the
literature [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ], one of the most recognised and adopted is one that models DTws into three
dimensions [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]: physical, virtual, and the connections between them. Several research proposals
have refined these dimensions [
        <xref ref-type="bibr" rid="ref11 ref12 ref13 ref14">11, 12, 13, 14</xref>
        ], nevertheless, only one has extended these
dimensions, adding two new and promoting a five-dimensional architecture [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], which has
become the reference architecture for DTws. However, such approach lacks formal semantics
to describe the diferent dimensions and their features. This may lead to a set of problems to
achieve semantic interoperability among DTws: i) there is no formal approach to discover the
services ofered by DTws and also to know to which dimension they belong; ii) there is no
description of which model follows the data of a DTw; iii) there is no security specification for the
dimensions of a DTw to address these problems. As a result, it is essential to develop a method
for semantically describing the various aspects that model the five-dimensional architecture in
a DTw.
      </p>
      <p>
        In this article, an extension of the W3C standard Thing Descriptions (TD) ontology [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]
proposed by the Web of Things group (WoT), called WoTDT (WoT Digital Twin ontology), is
presented. The goal of WoTDT is to provide formal semantics to represent the five dimensions
of a DTw and its features, allowing semantic discovery by reusing the TD ontology, and a
common approach to describe the capabilities of a DTw allocated by dimensions. The WoTDT
ontology was developed using the LOT methodology [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ], following ontology engineering good
practices. Finally, an evaluation of the ontology has been performed to ensure its quality by
checking that it is pitfall-free and that it covers all the identified requirements.
      </p>
      <p>
        The WoTDT ontology has been developed and used in the context of the European project
COGITO. In this project WoTDT has been used to model the DTw of railway network
construction site (with information such as workers, machines, IoT, . . . ). This ontology is public
available as machine-readable format and as a human-readable document1. Furthermore, since
the ontology is based on WoT, it allows i) to discover the services provided by the diferent
dimensions [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]; ii) to facilitate the accessibility of information of a specific dimension [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]; iii)
to define the security specification of each dimension using WoT capabilities by declaring a
security scheme. Furthermore, WoTDT ontology can represent domain independent DTw,
Digital Shadows or Digital Models, and it is meant to be extended, when required, with domain
specific terms (such as sensors, building parts or machinery). Practitioners shall use the WoTDT
ontology as a common data model for interoperability within their infrastructure, and extend
it with specific terms from their infrastructure domain to increase the expressiveness of the
ontology.
      </p>
      <p>The rest of this article is structured as follows. Section 2, provides an overview of the literature
and research proposals related to DTws in terms of architectures, ontologies, and WoT. Section 3
includes the development of the WoTDT ontology using the LOT methodology. Section 4
provides a use case of this ontology in the COGITO project. Finally, Section 5 recaps the
conclusions of this research.</p>
    </sec>
    <sec id="sec-2">
      <title>2. State of the Art</title>
      <p>
        The concept of “Digital Twin” was coined by Michael Grieves in the field of Product Lifecycle
Management (PLM) [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], defining it as a virtual representation of a physical object or system
that can be used to analyse its behaviour and performance. The proposal models an architecture
of a DTw that consists of three dimensions: the physical, which represents the actual asset in
the real world; the virtual, which represents the software representation of the physical asset;
and the connection parts, which exist between the physical and virtual dimensions.
      </p>
      <p>
        After the three-dimensional approach, the researchers focused on optimising aspects of these
dimensions to tackle new challenges [
        <xref ref-type="bibr" rid="ref11 ref12 ref13 ref14">11, 12, 13, 14</xref>
        ]. For example, NASA [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] improved existing
simulations performed in the virtual dimension with the goal of improving the management of
US Air Force aircraft throughout their lifetime by creating individualised structural management
plans, and in the physical dimension by including real-time data collection.
      </p>
      <p>
        In 2017, Tao and Zhang [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ] proposed a five-dimensional domain independent architecture
model of a DT, extended from the three-dimensional approach, that provided theoretical
guidance for the digitalisation and intellectualisation of the manufacturing industry. Also, they
adapted the five-dimensional approach to specific domains, such as prognostics and health
management domain [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. In this proposal, the physical dimension of Grieves’ proposal is
called the Physical Entity Dimension, and the connections are called Digital Twin Connection
Dimension. The virtual dimension of Grieves’ proposal is divided into three dimensions: the
Virtual Entity Dimension, which includes the description of the DTw models (such as rules,
behavioural, physical, and geometric models); the Digital Twin Data Dimension, which stores
all the data used by the DT; and the Digital Twin Service Dimension, which includes all the
services used by the DTw.
      </p>
      <p>The goal of the WoTDT ontology is to model this five-dimensional architecture. Therefore,
DTw proposals in the literature that rely on ontologies to model this architecture, or similar
ones, and/or apply WoT in the context of DTws are analysed.</p>
      <p>
        Ontologies in DTws: The application of Semantic Web technologies in the creation,
management, and modelling of DTws in industry has grown in recent years. In particular, guidelines
have been proposed on how to incorporate ontologies and their benefits for DTws [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ]. Using
these ontologies has one of these two main goals: i) to improve the visualisation and
understanding of DTw data [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ], or ii) to describe the architecture model of a DT [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ], which is the
goal of the WoTDT ontology.
      </p>
      <p>
        In the context of the second goal there is a study proposed by Sumit Singh et al. [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ], where an
ontology is developed to capture the domain knowledge and maintain the semantics of the asset
functions and basic characteristics during its operational phase. Another proposal by Charles
Steinmetz et al. [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ] conducted a study that expands the IoT-Lite ontology [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ] by incorporating
classes associated with the virtual dimension of the three-dimensional model, allowing external
applications and systems to access the virtual dimension with a particular protocol. In addition,
Marah and Challenger [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ], introduce a definition of an ontology for agent-based digital twins
for Cyber-Physical Systems. Furthermore, Meijers from Microsoft Azure introduced the Digital
Twins Definition Language (DTDL) [
        <xref ref-type="bibr" rid="ref25">25</xref>
        ] based on an RDF metamodel to represent DTws within
their proprietary tools.
      </p>
      <p>
        WoT in DTws: In the literature, WoT has not been used to model the dimensions of a
DTw. However, the closest proposal is the research presented by Ricci et al. [
        <xref ref-type="bibr" rid="ref26">26</xref>
        ], where a
description of an ecosystem of DTws has been developed using semantic web technologies
in the healthcare domain. In their research, the combination of DTw and WoT allows greater
precision in monitoring construction assets in real time, interoperability with other systems,
and better behaviour and performance over time. Another research, presented by Pittaras
et al. analysed how to combine the WoT standard with smart contracts to describe DTws of
physical devices [
        <xref ref-type="bibr" rid="ref27">27</xref>
        ]. In addition, in the research conducted by Luca Bedogni and Federico
Chiariotti [
        <xref ref-type="bibr" rid="ref28">28</xref>
        ], an architecture based on the WoT standard is developed to provide a DTw of a
smart environment, such as sensors used in a construction-related project. Finally, Xiaochen
Zheng et al. in [
        <xref ref-type="bibr" rid="ref29">29</xref>
        ] bring together these technologies, where WoT is applied in Cognitive DTws
(CDTws) with the intention of standardising and achieving data interoperability.
      </p>
      <p>This article introduces the first proposal, as far as we know, that covers all five dimensions
of a DTw and their characteristics. Moreover, since the ontology has been developed as an
extension of WoT, it will provide advantages such as enabling the discovery of services across
dimensions, or facilitating the access to the information from a particular dimension, thereby
promoting data interoperability.
3.</p>
    </sec>
    <sec id="sec-3">
      <title>WoTDT Ontology Development</title>
      <p>In this article, a novel approach is presented to semantically represent Digital Twins (DTw) that
follow the five-dimensional architecture along with their characteristics and functionalities. To
this end, an extension of the W3C standard Thing Description (TD) ontology published by the
Web of Things (WoT) group has been developed. This novel ontology, named WoTDT provides
an approach that describes all the dimensions and internal capabilities of a DTw, and ranges
from related metadata to the functions it ofers using TDs enriched with this ontology.</p>
      <p>
        The WoTDT ontology has been developed following the LOT (Linked Open Terms)
methodology [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ]. This methodology is based on the ontological engineering activities described in the
NeOn methodology [
        <xref ref-type="bibr" rid="ref30">30</xref>
        ]. The LOT methodology outlines a process that includes the following
activities: i) specifying ontological requirements; ii) implementing the ontology; iii) publishing
the ontology; and iv) maintaining the ontology. The following subsections provide further
details about these activities and their implementation to deliver the WoTDT ontology.
      </p>
      <sec id="sec-3-1">
        <title>3.1. WoTDT Ontology Requirements</title>
        <p>The specification of the ontology requirements is derived from the analysis of the proposed
fivedimensional model and refined during its adoption and use in the COGITO H2020 project. From
these inputs, a collection of ontological requirements was generated in the form of competency
questions and sentences in natural language. Table 1 shows the fifteen requirements obtained
from the specification process.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. WoTDT Implementation</title>
        <p>
          To streamline the implementation process, a conceptualisation of the ontology was proposed
using the requirements identified in the previous step as input. This conceptualisation
incorporates the key concepts to represent the five dimensions when applied to the construction
domain. Figure 1 shows the representation of this conceptualisation, which follows the Chowlk
Visual Notation [
          <xref ref-type="bibr" rid="ref31">31</xref>
          ] that establishes a connection between the stereotypes used in the profile
with OWL, RDF (S) constructs and certain OWL 2 constructs. The use of prefixes indicates
the ontologies in which each concept or relation is defined. For example, dt:DigitalTwin is
defined in the “https://w3id.org/def/digitaltwin#” namespace. Furthermore, this ontology reuses
the core ontology of SAREF, such as saref:Device; the DCAT ontology (Data Catalog
Vocabulary), such as dcat:Resource; the HCTL ontology (WoT Hypermedia Controls Ontology),
such as hctl:hasTarget; apart from the WoT Thing Description ontology.
        </p>
        <p>As shown in Figure 1, the class of dt:DigitalTwin is represented as a rdfs:subClassOf
of td:Thing, allowing inheritance of properties contained in the td:Thing class. In addition,
the diferent dimensions are conceptualised using the classes: dt:PhysicalEntity,
dt:VirtualEntity, dt:DigitalTwinData, dt:DigitalTwinService and
dt:DigitalTwinConnection. These five-dimensional conceptualisations will be
explained separately in the following subsections.</p>
        <p>
          Physical Entity Dimension: In the WoTDT ontology, the dt:PhysicalEntity class
represents the dimension of the physical entity, defined as a set of various subsystems,
objects, and sensors. devices. These subsystems can include dynamic systems, control systems,
maintenance systems, among others, and can be combined for a specific task [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]. To
represent all these subsystems, objects, and sensor devices, the class dt:Component has been
created. The dt:Component class can be shown in Figure 2 where it contains subclasses such
as dt:MainComponent, that represents the main component of the dimension of the physical
entity in the case of multiple; and saref:Device, that represents devices such as sensors
(saref:Sensor) and actuators (saref:Actuator), allowing this dimension to read and act
on the physical asset of the DTw.
        </p>
        <p>
          Virtual Entity Dimension: For the dimension of the virtual entity, in the WoTDT ontology,
this dimension is represented in the class dt:VirtualEntity, defined as a set of various
data models that represent all the information allocated in the digital twin [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]. To represent
the models allocated in this dimension, the class dt:Model has been created, defined as a
representation or conceptualisation of the data registered in the dimension of the virtual entity.
Following the same approach as in the previous subsection, in Figure 3 are represented the
diferent subclasses of the class dt:Model, containing from non-semantic models such as
dt:RulesModel, dt:BehavioralModel, dt:PhysicalModel and dt:GeometricModel
described in [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]; and semantic models such as dt:OntologyModel, dt:MappingModel and
ShapesModel. Furthermore, as shown in Figure 1, each of these dt:Model, has a specific
format, represented by the class dt:Format, containing attributes (owl:DatatypeProperty)
such as the route where the model is stored (hctl:hasTarget), and the extension of the model
(dt:hasExtension), that can be for example in the case of a dt:OntologyModel the “ttl”
extension that refers to Turtle serialisation.
        </p>
        <p>
          Digital Twin Data Dimension: Once the physical and virtual entities have been explained,
the dimension of digital twin data will follow. In the WoTDT ontology, the dimension of the
digital twin data is represented by the class dt:DigitalTwinData, defined as the dimension
of the digital twin where all data are contained and used by the DTw [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]. As shown in Figure 1,
these data are represented with the class dcat:Resource. In this case, we reuse the DCAT
ontology instead of the WoT TD ontology to represent the data, because DCAT is more complete
and allows describing a larger volume of data (as used in DTws) with a larger number of features,
such as dcat:Dataset, dcat:DataService or dcat:Catalog. This can be useful in the
case that there are multiple volumes of data categorised by semantic and non-semantic.
        </p>
        <p>
          Digital Twin Services Dimension: The following dimension depicted is the dimension of
digital twin services. This dimension is represented with the class dt:DigitalTwinService,
defined as the dimension of the DTw that contains all the services that are used to
perform all the processes of the digital twin [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]. As explained earlier, WoT allows us to
describe the services of a DTw, this is the reason why we reuse in this dimension the class
td:interactionAffordance to represent the diferent existing services in the DTw, under
the class of dt:DigitalTwinService. Furthermore, this class allows to show the possible
choices to the DTw consumers, suggesting how they can interact with the DTw services.
        </p>
        <p>
          Digital Twin Connection Dimension: The last dimension is the digital twin connections,
which are represented by the class dt:DigitalTwinConnection. This class is defined as
the dimension of the DTw that contains all the connections that exist between the diferent
dimensions of the DTws and the information used [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]. To represent these connections, the
class dt:Connection has been created and defines the existing connection between diferent
dimensions. The dt:ConnectionPoint class is responsible for representing a particular
endpoint of a dimension that functions as a provider or consumer of information (represented
by dt:hasProvider and dt:hasConsumer) within the connection. With this approach,
there will always be a connection with only two connection points. The diferent types of
dt:ConnectionPoint are represented in Figure 4. The authors decided to introduce the class
dt:ConnectionPoint instead of using the existing SEAS ontology [
          <xref ref-type="bibr" rid="ref32">32</xref>
          ]. This decision was
made because SEAS only considers connections between systems, whereas in the context of
DTws, connections may not always be limited to systems.
        </p>
        <p>
          In addition, even though the ontology has been developed within the construction field, it is
extensible to other domains, as it allows for the inclusion of new subclasses within the various
classes of dimensions to address the requirements of a specific domain. Once the WoTDT
conceptualisation was defined, it was encoded in OWL using Chowlk [
          <xref ref-type="bibr" rid="ref33">33</xref>
          ] and Protégé 2, and
stored in a GitHub repository3.
        </p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. WoTDT Evaluation</title>
        <p>
          The evaluation to identify typical errors during ontology implementation has been carried
out using the OOPS! tool [
          <xref ref-type="bibr" rid="ref34">34</xref>
          ]. Several important and minor pitfalls have been identified.
However, these important pitfalls do not afect the consistency, reasoning, or applicability
of the ontology. In addition, when it comes to minor pitfalls, they mainly involve identified
unconnected elements. The remaining errors identified by the tool were corrected accordingly.
        </p>
        <p>
          Furthermore, the authors performed a systematic analysis to ensure that the ontology satisfies
the requirements elicited in Table 1. To assist in this validation, a set of tests4 was defined and
executed using the Themis tool [
          <xref ref-type="bibr" rid="ref35">35</xref>
          ], which implements the testing methodology described in
2https://protege.stanford.edu
3https://github.com/oeg-upm/WoT-DT-ontology
4https://raw.githubusercontent.com/oeg-upm/WoT-DT-ontology/main/testsuite.ttl
[36]. After executing the tests, it was discovered that all of them were successfully completed,
indicating that the developed ontology meets all the defined requirements.
        </p>
      </sec>
      <sec id="sec-3-4">
        <title>3.4. WoTDT publication and maintenance</title>
        <p>Once the ontology is developed and evaluated, it has to be published online. To achieve this
goal, OnToology [37], a web-based system, is used. OnToology is designed to work seamlessly
with Git-based environments and incorporates various pre-existing documentation tools. In
addition, OnToology ofers two options for publication using content negotiation mechanisms.
The first option is to publish the ontology using a permanent id through the services provided
by “https://w3id.org”. The second option is to download a bundle containing all the necessary
ifles to publish the ontology on a server. For the WoTDT ontology, the first option was selected,
publishing it under the URI “https://w3id.org/def/digitaltwin”, where the ontology is available in
machine-readable format and as a human-readable document.</p>
        <p>Finally, to support the maintenance activity in the developed ontology, an issue tracker5 is
used. Hence, for users, domain experts, or ontology developers to suggest new requirements,
identify bugs, or provide any suggestions, they are required to create an issue in the repository.
This issue tracker enables the monitoring of all the issues suggested, and once an issue is open,
the ontology development team needs to discuss and make a decision on whether the proposal
presented in the issue should be implemented in the ontology or rejected.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Applicability of WoTDT</title>
      <p>This section provides an example of an application of the WoTDT ontology in
the European H2020 construction-related project COGITO. In particular, the
section aims to show a DTw description using this ontology, i.e., data
instantiation, for a wall in a pilot COGITO construction site. The instantiation of the
data in the given example is obtained from the URI used to publish the
diferent resources used in COGITO (https://data.cogito.iot.linkeddata.es/resources/&lt;prefix&gt;/&lt;id&gt;).
For instance for accessing the resource sdt:01U2O the public url is the following:
https://data.cogito.iot.linkeddata.es/resources/sdt/01U2O. In Figure 5, an instantiation of a DTw
and its respective dimensions is shown. After the DTw has been instantiated, an example of
how each dimension can be instantiated has been provided.</p>
      <p>First, in Figure 6, an example of the Physical Entity dimension instantiation is presented. In
this example, a “Wall” is represented as a dt:Component, that also is a dt:MainComponent
and a facility:Element.</p>
      <p>Second, in Figure 7, an example of Virtual Entity dimension instantiation is given. In this
case, the dimension of the virtual entity has a model that is a dt:OntologyModel, found in
four diferent dt:Format, containing each of them the specific target URI to get the model.</p>
      <p>Third, in Figure 8, an example of Digital Twin Data dimension is shown. In this dimension,
the instantiation of the data resources is presented, where a dcat:Dataset is representing
the Knowedge Graph (KG) [38] of the DTw. Furthermore, the representation of access to the
dcat:Distribution and dcat:DataService are provided, in order to retrieve the KG data.</p>
      <p>In fourth place, in Figure 9, an example of instantiation of the dimension of the Digital
Twin Service is presented. In this particular case, the various services that ofer the DTw are
depicted as td:PropertyAffordance and td:ActionAffordance. These services provide
their respective hctl:Form, which specifies the URL that the consumer needs to access the
service.</p>
      <p>Finally, in Figure 10, an example of the dimension of the Digital Twin Connection is shown.
In this example, a representation of a dt:Connection is presented, where two diferent
dimensions are linked with a specific functionality, specifically, the validation of the Knowledge
Graph from the DTw Data dimension, using the validation service present in the DTw Service
dimension.</p>
      <p>
        It is important to remark that WoT allows describing data resources using the TD standard [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
Also, promotes a standardised discovery of these resources by registering their TDs into WoT
directories and finding them using syntactic and semantic queries [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. The expressiveness
of TDs allows describing diferent features of the data resources; how they are accessed, the
protocols they use, their security methods, and metadata identifying the real world entity they
represent. For instance, a TD could contain metadata describing a building, specifing its HTTP
data endpoints and how to invoke them, also, the kind of data they provide (such as columns
position, light bulbs status, etc), and a basic auth mechanisms to access.
      </p>
      <p>Due to the fact that WoTDT ontology inherits from TD it also acquires all its benefits,
including expressiveness and the discovery capability in WoT directories. This ontology aims at
enhancing the expressiveness of TDs with domain specific terms for DTws, an expressivness
that TDs lack due to its domain neutrality.</p>
      <p>As a running example, Figures 5-10 show a TD extended with the WoTDT ontology. As a
result the TD describes the five dimensions of a DTw (domain specific terms) and also describes
the data resources that conform the DTw (neutral domain terms). Note that these examples do
not show explicitly security schemes but they could be specified. Also, the TD of these examples
is compliant with the WoT discovery standard, and therefore, it could be registered and found
in a WoT directory.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions</title>
      <p>
        DTws in the construction domain allow for the accuracy of needed predictions to be improved,
making more logical decisions, and developing well-informed plans. However, there is no
standardised architecture that provides a precise definition of a DTw and ofers guidance for its
development. In the literature, there are research proposals that model their architecture in a
three-dimensional model [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ]. Subsequently, a novel proposal presented an extended version
that models the DTw in five dimensions [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], providing a more complete understanding of the
architectures of the DTws. However, DTws lack formal semantics, which hinders interoperability
with third-party DTws or external services.
      </p>
      <p>To address this problem, the WoTDT ontology is developed as an extension of the Thing
Description ontology proposed by the W3C Web of Things group, which is a standard that
allows the description of services, promoting interoperability, discoverability, accessibility,
security and scalability. As a result, this ontology will enable a more precise comprehension of
the DTws and will provide direct access to all the system functionalities for the described DTw.</p>
      <p>Moreover, despite being initially designed for the construction domain, the ontology is
lfexible enough to accommodate the incorporation of additional subclasses into classes related
to diferent dimensions. This capability enables the specific requirements of a particular domain
to be addressed. However, some issues may arise when adding these new requirements that
may trigger changes in the ontology. Therefore, a potential area for future research involves
expanding the ontology to encompass a wide range of information from various domains.
Furthermore, there might be value in representing the aggregation of an ecosystem of DTws, as
it allows for the conceptualisation of the interconnections among various DTws.</p>
    </sec>
    <sec id="sec-6">
      <title>Acknowledgments</title>
      <p>This work has been supported by COGITO funded by the European Union’s Horizon 2020
research and innovation programme under grant agreement no. 958310 and by the Madrid
Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with the Universidad
Politécnica de Madrid in the Excellence Programme for University Teaching Staf, in the context
of the V PRICIT (Regional Programme of Research and Technological Innovation).
[36] A. Fernández-Izquierdo, R. García-Castro, Requirements Behaviour Analysis for Ontology</p>
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[37] A. Alobaid, D. Garijo, M. Poveda-Villalón, I. Santana-Pérez, A. Fernández-Izquierdo, Ó.
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[38] A. Hogan, E. Blomqvist, M. Cochez, C. d’Amato, G. D. Melo, C. Gutierrez, S. Kirrane, J. E. L.</p>
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