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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Semantic Representation of Robotic Function, Process Characteristics, and Quality</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Muhammad Raza Naqvi</string-name>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Arkopaul Sarkar</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Farhad Ameri</string-name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Linda Elmhadhbi</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mohamed Hedi Karray</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="editor">
          <string-name>Autonomous Robotics, Ontological Modeling, Robot Capability, Flexible Manufacturing</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>(LGP-INP-ENIT), Universit ́e de Toulouse</institution>
          ,
          <addr-line>47 Av. d'Azereix, Tarbes, 65016</addr-line>
          ,
          <country country="FR">France</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Department of Physics, Georgetown University</institution>
          ,
          <addr-line>37th St NW,Washington, DC 20057</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>INSA Lyon, Université Lumière Lyon 2, Université Claude Bernard Lyon 1, Université Jean Monnet Saint-Etienne, DISP UR4570</institution>
          ,
          <addr-line>Villeurbanne</addr-line>
          ,
          <country country="FR">France</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Ira A. Fulton Schools of Engineering, Arizona State University</institution>
          ,
          <addr-line>Mesa, Arizona 85281</addr-line>
          ,
          <country country="US">United States</country>
        </aff>
        <aff id="aff4">
          <label>4</label>
          <institution>Manufacturing Systems &amp; Networks</institution>
        </aff>
        <aff id="aff5">
          <label>5</label>
          <institution>Mines Saint-Etienne, Univ Clermont Auvergne, INP Clermont Auvergne</institution>
          ,
          <addr-line>CNRS, UMR 6158 LIMOS, F-42023 Saint-Etienne</addr-line>
          ,
          <country country="FR">France</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>Robots in manufacturing are often described through vendor specifications, which, while important, do not fully reflect their operational performance. Equally important are the function, process characteristics, capacity, capability, and quality aspects, all of which are essential for transparent and flexible decision-making in robot selection and deployment To address this, we extend the Robot Capability Ontology (RCO), which is grounded in Basic Formal Ontology (BFO), the Industrial Ontologies Foundry (IOF) principles, the Manufacturing Service Description Language (MSDL), the Relation Ontology (RO), and the Information Artifact Ontology (IAO), to provide a semantic representation that explicitly models robotic functions, process characteristics, and quality attributes. Using the Ontology Development 101 methodology, we introduce new classes and relationships that capture the operational parameters of robotic joints, including rotational movements, speed, and angles, along with their associated measurement data. Competency questions are used to guide ontology design, while validation is performed through SPARQL queries. The Extended RCO enables a clearer distinction between function, process characteristics, and quality by supporting reasoning over robotic performance, and provides a reusable framework for transparent decision making in industrial applications.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Background and Motivation</title>
      <p>
        The accurate representation of robotic function, process characteristics, and quality is becoming
increasingly important in modern manufacturing, where decision making must be both flexible and transparent
to adapt to diverse and evolving production demands [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Existing capability descriptions are fragmented,
often limited to vendor specific specifications that fail to capture the operational differences between
advertised and real world robotic performance [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. To address this gap, we build on the Robot Capability
Ontology (RCO) [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], which is formally grounded in the Basic Formal Ontology (BFO) [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], the
Industrial Ontologies Foundry (IOF) [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] principles, the Manufacturing Service Description Language
(MSDL)[
        <xref ref-type="bibr" rid="ref7">7</xref>
        ], the Relation Ontology (RO)[
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], and the Information Artifact Ontology (IAO) [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. In this
paper, we propose an Extended RCO that semantically models not only robotic capabilities but also
their associated functions, process characteristics, and quality attributes. This extension provides a
standardized, machine interpretable framework that enables manufacturing stakeholders to evaluate and
compare robots beyond surface level specifications.
      </p>
      <p>A critical contribution of this work is the explicit distinction between process characteristics and quality.
Process characteristics describe how a robot performs a task, capturing measurable properties such as
speed, force, compliance, or repeatabilit,y while quality refers to the outcome of the process, i.e., whether
the final product meets the required standards of accuracy, consistency, or finish. This distinction is
necessary because a robot may exhibit excellent process characteristics yet fail to achieve the desired
quality in certain contexts. For instance, in robotic painting, process characteristics include path accuracy
and spray uniformity, whereas the surface finish evaluates the quality of whether it is free from streaks,
uneven thickness, or overspray. Similarly, in robotic welding, process stability and repeatability influence
quality; however, seam integrity and defect free joints ultimately determine whether quality standards
are met. By formally representing both layers in the Extended RCO, manufacturers gain the ability to
reason about not only what a robot can do but also how well it delivers the intended outcome, enabling
more informed and transparent decision making in robot selection and deployment. The remainder of this
short paper is structured as follows: in Section 4, we present the methodology for extending the RCO and
validating the ontology using SPARQL queries in terms of completeness and coverage; in Section 4, we
provide concluding remarks.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Extending the Robot Capability Ontology</title>
      <p>The RCO is a reference ontology that formalises the capabilities of robots and considers the distinction
between what manufacturers claim their robots can do and what they can achieve in practice.</p>
      <p>In the following section, we discuss the RCO’s development process.</p>
      <sec id="sec-2-1">
        <title>2.1. Ontology Development Methodology</title>
        <p>
          We utilise the Ontology development 101 methodology [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ] due to its recognition within the scientific
community and its ability to facilitate the reuse of existing terms and concepts. The ontology development
101 methodology involves the following steps, which guide the structured development of ontologies and
the reuse of existing terms:
• Determine the domain and scope of the ontology
• Define Competency Questions (CQs)
• Consider reusing existing ontologies
• Enumerate important terms in the ontology
• Define the classes and the classes hierarchy
• Define the properties of classes
• Define the domain and range of properties
• Create instances.
        </p>
        <p>We employ this methodology to extend the RCO, focusing on modeling robotic function, process
characteristics, and quality. By leveraging structured steps and competency questions, the Extended RCO
semantically captures these aspects in a way that is standardized, machine interpretable, and reusable.
This structured extension allows for a clear distinction between the robot’s functional capabilities, the
measurable characteristics of its processes, and the quality of outcomes, supporting more transparent and
lfexible reasoning about robotic performance in manufacturing scenarios.</p>
        <sec id="sec-2-1-1">
          <title>2.1.1. Determine Domain</title>
          <p>The domain of our ontology is robotics in manufacturing, with a scope centered on representing and
categorizing function, process characteristics, and quality of robotic systems within a production environment.
This Extended RCO models robotic joints and their operational parameters, defining relevant metrics
and attributes for precise assessment and establishing relationships that capture how functions, process
characteristics, and quality interact in real world conditions. When developing our ontology, we chose to
emphasize the practical value of our work by using real world scenario based competency questions.</p>
        </sec>
        <sec id="sec-2-1-2">
          <title>2.1.2. Competency Questions</title>
          <p>Next, we define competency questions:
• CQ1:What are the functions of robotic joints, and how can rotational movements be categorised in
robotic systems?
• CQ2: What metrics and values describe the capability of a robot joint, including the units of
measurement?
• CQ3: What process characteristics and physical qualities, such as rotational speed and angles,
describe the operation of robotic joints?
• CQ4: What measurement data, like rotational speed and angle datums, can be linked to joints to
evaluate function?</p>
          <p>RCO is based on MSDL, a domain reference ontology created for manufacturing services and aligned
with the BFO, IOF, IAO, and RO. MSDL’s modular structure and domain neutral classes allow RCO to
accurately describe and expand upon robotic capabilities. Standardised terms and relationships already
exist in the given in existing ontologies, giving us a strong base on which to build. Also, one of the
key aspects of using the MSDL ontology "is that it is a significant model for representing manufacturing
processes, as it captures more specific and rigorous manufacturing domain knowledge".</p>
          <p>Once we identified the existing ontologies to reuse, we defined the different classes and their hierarchy.
Then, we define each property’s domain range and instantiate RCO. We start by importing existing
concepts in RCO as we utilise different ontologies. The following section discusses the different terms
we reused from existing ontologies and how we formalise our classes, instances, and properties under the
umbrella of existing ontologies.</p>
        </sec>
      </sec>
      <sec id="sec-2-2">
        <title>2.2. Enumerate Terms</title>
        <p>Key concepts that we used from MSDL are: MSDL:Equipment class is a subclass of MSDL:Engineered
Artifact, representing physical and digital items produced through engineering design and production
techniques. We have defined the class RCO:Handling and Transportation Equipment within the
MSDL: Equipment class to describe equipment specially built for material handling and transportation.
we have introduced the class RCO:Robot as a subclass of RCO:Handling and Transportation
Equipment, implying that robots are specific equipment for material handling and transportation in our
scope.</p>
        <p>As a result, instances such as the RCO:NED-2 Robot can be defined under the RCO: Robot class,
indicating that it is a component of the larger domain RCO:Handling and Transportation Equipment
and subsequently, MSDL: Equipment. The IAO:Measurement Datum class is a generic class
representing measurement data. IAO:Scalar Measurement Datum is a subclass of IAO:Measurement
Datum, and IAO:Angle Measurement Datum andIAO:Speed Measurement Datum are subclasses
of IAO:Scalar Measurement Datum to define angle related measurement data properly for robot joint
angles and their speed. Moreover, the object attribute RCO:is Measurement Of is used to represent
the link between measurements and functions, quality, and process characteristics. IAO:Measurement
Datum, a subclass of BFO: Information Continuant Entity, is the domain of the RCO:is
Measurement Of, and the range of this object property is ’BFO:specifically Independent
Continuant, representing the measurement’s related specific independent continuant entity.</p>
        <p>BFO relationship BFO_0000051 (has_Part) is the inverse relation of BFO:part Of, which represents
the lowest and highest values of the NED2 repeatability capability and transmits measurement values,
measurement data, and parameter units.</p>
        <p>The property IAO:has measurement Unit Label shows the parameter unit’s label, whereas
IAO:has measurement Value associates the measurement value with a specific datum. To extend RCO
to encompass more detailed aspects of robotics, particularly those related to movement and functionality,
we have introduced new classes and subclasses to capture the intricate dynamics of robotic joints and
their operational parameters, including their function quality and process characteristics.</p>
        <p>To model the function of rotation specifically, we have created the class RCO:Rotation Function
under the BFO class of Function, a subclass of BFO:Disposition. This structure enables us to
encapsulate the inherent abilities of robotic joints to perform rotational movements as part of their overall
set of functions or capabilities as shown in Fig. 1.</p>
        <p>To provide a comprehensive model of a robotic joint as an entity within our ontology, we have
introduced the class RCO:Robotic Joint. This class is a subclass of RCO:Handling And
Transportation Equipment, which further connects to the broader categories of MSDL:Equipment
and BFO:Engineered Artifact, and finally to BFO:Object. This hierarchical classification
underscores the robotic joint’s role as a critical component in the robotics domain, particularly in the context of
handling and transportation equipment.</p>
        <p>Moreover, to accurately represent the physical qualities that pertain to rotational movements, we
have utilised the BFO structure, incorporating the class BFO:Quality, and under it, a subclass named
BFO:Physical Quality. Within this classification, we have introduced RCO:Angle as a subclass of
BFO:Physical Quality, which is crucial for understanding robotic joints’ positional and orientational
aspects, Second, recognising the importance of rotational movement in robotics, we have defined the class
RCO:Rotational Speed, as a subclass of RCO:Speed, which is considered under the broader
category of IOF:Process Profile. This categorisation allows us to address the unique aspects of speed
relevant to the rotational movements found in robotic joints, specifically. To capture and represent data
related to the rotational speed and angles of robotic joints, we have established two specific measurement
datum classes; The class RCO:Rotational Speed Measurement Datum is created as a subclass of
IAO:Speed Measurement Datum, which in turn is a subclass of IAO:Measurement Datum.
Similarly, the class RCO:Rotational Angle Measurement Datum is defined under IAO:Rotational
Measurement Datum, also a subclass of IAO:Measurement Datum as shown in Fig. 2.</p>
        <p>Through these enhancements to our ontology, we aim to offer a more nuanced and detailed framework
for understanding and modeling robotic joints’ functionalities, qualities, and process characteristics,
mainly focusing on their ability to perform rotational movements. This enhanced model facilitates a deeper
exploration of robotics’ capabilities and operational dynamics, paving the way for more sophisticated
applications and analyses in the field of manufacturing.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Ontology Validation Using SPARQL</title>
      <p>A thorough evaluation was conducted to confirm that the proposed ontology in terms of coverage and
completeness. (CQ4) was validated through a corresponding SPARQL query.</p>
      <p>SPARQL Query for CQ4:
SELECT ?measurement ?part ?value ?unit
WHERE {
RCO:NED2-Joint-1 obo:IAO_0000417 ?measurement .</p>
      <p>?measurement obo:BFO_0000051 ?part .</p>
      <p>OPTIONAL { ?part obo:IAO_0000004 ?value . }</p>
      <p>OPTIONAL { ?part obo:IAO_0000039 ?unit . }
}</p>
      <p>This structured query allows the ontology to provide precise information about the joint’s physical
properties, with results visualized in Fig. 3.</p>
      <p>This SPARQL query answers the competency question regarding the measurements of the robotic joint
NED2-Joint-1. It retrieves the joint’s associated measurements, relevant parts, numerical values, and
units. The property obo:IAO_0000417 links the joint to its measurements, while obo:BFO_0000051
optionally identifies associated parts. Measurement values and units are obtained via obo:IAO_0000004
and obo:IAO_0000039, respectively.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Conclusion</title>
      <p>RCO captures a robot’s functions, process characteristics, and quality parameters enables precise,
consistent, and reusable access to critical information. It supports informed robot selection, performance
evaluation, and task planning while providing explainable reasoning for decisions, thereby enhancing
transparency and trust in robotic systems. This helps manufacturers make informed decisions on robot
selection, optimize processes, and ensure reliable performance.</p>
    </sec>
    <sec id="sec-5">
      <title>Acknowledgments</title>
      <p>This work was supported by the Alliance of Universities in Europe – European Universities Linking
Society and Technology (EULiST), a European University Alliance officially recognised and funded by
the European Union under the European Universities Initiative.</p>
    </sec>
    <sec id="sec-6">
      <title>Declaration on Generative AI</title>
      <p>Generative AI tools were used solely to assist with language editing and refinement of the manuscript.
The authors take full responsibility for the accuracy, originality, and integrity of the work.</p>
    </sec>
    <sec id="sec-7">
      <title>Disclaimer</title>
      <p>Since September 2024, Mohamed Hedi Karray has joined European Innovation Council and SMEs
Executive Agency. The views expressed in this publication are the responsibility of the authors and do
not necessarily reflect the views of the European Commission nor of the European Innovation Council
and SMEs Executive Agency. The European Commission, the European Innovation Council, and SMEs
Executive Agency are not liable for any consequences stemming from the reuse of this publication.</p>
    </sec>
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