rdf - Defining Protege class with expression of numerical data

Question

I am building a smart home ontology. I now have a class hierarchy like that:

I want to give definitions to the subclass of 'RoomStatus'. For example, I want to define that when room temperature is in range of 18-22 Centigrade and Humidity is in range of 40-50%, then the room has a mild status. I tried to use Class Expression Editor in Protege but it doesn't work.

How can I realize this definition? Thanks in advance!

Answer 1

Hatim's answer may work for you, but I think it might be better not to use equivalent class axioms when you don't have to, and to avoid tying Mild Status to particular temperatures and humidities. After all, what it means for a Room to have a mild status is very different for what it means for a Sauna to have a mild status.

I'd recommend using a General Class Axiom to say that:

If a Room has a temperature and a humidity within the specified ranges, then the Room has a mild status.

As a class axiom, that's:

Room and (hasTemperature some integer[≥18,≤22]) and (hasHumidity some integer[≥40,≤50]) subClassOf (hasStatus value Mild_Status)

That's almost exactly what you can write in Protege:

Here's the ontology (in RDF/XML and in TTL) with that axiom:

@prefix :      <https://stackoverflow.com/q/29228328/1281433/> .
@prefix rdfs:  <http://www.w3.org/2000/01/rdf-schema#> .
@prefix owl:   <http://www.w3.org/2002/07/owl#> .
@prefix xsd:   <http://www.w3.org/2001/XMLSchema#> .
@prefix rdf:   <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .

:       a       owl:Ontology .

:Room   a       owl:Class .
:Status  a      owl:Class .
:Mild_Status  a  owl:NamedIndividual , :Status .

:hasStatus  a   owl:ObjectProperty .

:hasTemperature  a  owl:DatatypeProperty .
:hasHumidity  a  owl:DatatypeProperty .

[ a                   owl:Class ;
  rdfs:subClassOf     [ a               owl:Restriction ;
                        owl:hasValue    :Mild_Status ;
                        owl:onProperty  :hasStatus
                      ] ;
  owl:intersectionOf  ( :Room _:b2 _:b3 )
] .

_:b3    a                   owl:Restriction ;
        owl:onProperty      :hasTemperature ;
        owl:someValuesFrom  [ a                     rdfs:Datatype ;
                              owl:onDatatype        xsd:integer ;
                              owl:withRestrictions  ( _:b0 _:b4 )
                            ] .
_:b0    xsd:minInclusive  18 .
_:b4    xsd:maxInclusive  22 .

_:b2    a                   owl:Restriction ;
        owl:onProperty      :hasHumidity ;
        owl:someValuesFrom  [ a                     rdfs:Datatype ;
                              owl:onDatatype        xsd:integer ;
                              owl:withRestrictions  ( _:b5 _:b1 )
                            ] .
_:b1    xsd:minInclusive  40 .
_:b5    xsd:maxInclusive  50 .

<rdf:RDF
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:owl="http://www.w3.org/2002/07/owl#"
    xmlns="https://stackoverflow.com/q/29228328/1281433/"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#"
    xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#">
  <owl:Ontology rdf:about="https://stackoverflow.com/q/29228328/1281433/"/>
  <owl:Class rdf:about="https://stackoverflow.com/q/29228328/1281433/Room"/>
  <owl:Class rdf:about="https://stackoverflow.com/q/29228328/1281433/Status"/>
  <owl:Class>
    <rdfs:subClassOf>
      <owl:Restriction>
        <owl:onProperty>
          <owl:ObjectProperty rdf:about="https://stackoverflow.com/q/29228328/1281433/hasStatus"/>
        </owl:onProperty>
        <owl:hasValue>
          <owl:NamedIndividual rdf:about="https://stackoverflow.com/q/29228328/1281433/Mild_Status">
            <rdf:type rdf:resource="https://stackoverflow.com/q/29228328/1281433/Status"/>
          </owl:NamedIndividual>
        </owl:hasValue>
      </owl:Restriction>
    </rdfs:subClassOf>
    <owl:intersectionOf rdf:parseType="Collection">
      <owl:Class rdf:about="https://stackoverflow.com/q/29228328/1281433/Room"/>
      <owl:Restriction>
        <owl:onProperty>
          <owl:DatatypeProperty rdf:about="https://stackoverflow.com/q/29228328/1281433/hasHumidity"/>
        </owl:onProperty>
        <owl:someValuesFrom>
          <rdfs:Datatype>
            <owl:onDatatype rdf:resource="http://www.w3.org/2001/XMLSchema#integer"/>
            <owl:withRestrictions rdf:parseType="Collection">
              <rdf:Description>
                <xsd:maxInclusive rdf:datatype="http://www.w3.org/2001/XMLSchema#integer"
                >50</xsd:maxInclusive>
              </rdf:Description>
              <rdf:Description>
                <xsd:minInclusive rdf:datatype="http://www.w3.org/2001/XMLSchema#integer"
                >40</xsd:minInclusive>
              </rdf:Description>
            </owl:withRestrictions>
          </rdfs:Datatype>
        </owl:someValuesFrom>
      </owl:Restriction>
      <owl:Restriction>
        <owl:onProperty>
          <owl:DatatypeProperty rdf:about="https://stackoverflow.com/q/29228328/1281433/hasTemperature"/>
        </owl:onProperty>
        <owl:someValuesFrom>
          <rdfs:Datatype>
            <owl:onDatatype rdf:resource="http://www.w3.org/2001/XMLSchema#integer"/>
            <owl:withRestrictions rdf:parseType="Collection">
              <rdf:Description>
                <xsd:minInclusive rdf:datatype="http://www.w3.org/2001/XMLSchema#integer"
                >18</xsd:minInclusive>
              </rdf:Description>
              <rdf:Description>
                <xsd:maxInclusive rdf:datatype="http://www.w3.org/2001/XMLSchema#integer"
                >22</xsd:maxInclusive>
              </rdf:Description>
            </owl:withRestrictions>
          </rdfs:Datatype>
        </owl:someValuesFrom>
      </owl:Restriction>
    </owl:intersectionOf>
  </owl:Class>
</rdf:RDF>