Difference between revisions of "Class Axioms"

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==SubClassOf axioms==
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==SubClassOf axiom==
It means the class extension of a class is a subclass of another classes extension. So the set of individuals in the class 1 are a subset of the set of individuals of class 2.
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It means the class expression is an instance of another classes expression, it is used to display hierarchy. It follows that the set of individuals in the class 1 are a subset of the set of individuals of class 2.
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Due to that the the first class expression which is the subclass of the other is more specific than the other.
  
==Equivalent classes axioms==
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==Equivalent classes axiom==
Equivalent class axioms link one class desciption to another class description, when these descriptions have the same class extension.
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Equivalent class axioms state that multiple class expressions are equivalent to each other. Thus these class expressions can be used as synonym, when the meaning of the ontology won't be changed.
  
==Disjoint classes axioms==
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==Disjoint classes axiom==
These axioms ensure that a class extension with two class descriptions have no individuals in common.
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These axioms state that class expressions are disjoint,thus they have no instances in common.
  
==GCICount==
 
Means General Concept Inclusion
 
==HiddenGCICount==
 
  
 
==Sources==
 
==Sources==
 
#''https://www.w3.org/TR/owl-ref/''
 
#''https://www.w3.org/TR/owl-ref/''
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#''https://www.w3.org/TR/owl2-syntax/''

Revision as of 20:25, 19 June 2016

Class Axioms are used to define classes, e.g in <owl:class/> defines the existence of a class and is a class axiom, likewise is the ID of the class a class axiom.

The set of individuals linked to the class is called class extension.


SubClassOf axiom

It means the class expression is an instance of another classes expression, it is used to display hierarchy. It follows that the set of individuals in the class 1 are a subset of the set of individuals of class 2. Due to that the the first class expression which is the subclass of the other is more specific than the other.

Equivalent classes axiom

Equivalent class axioms state that multiple class expressions are equivalent to each other. Thus these class expressions can be used as synonym, when the meaning of the ontology won't be changed.

Disjoint classes axiom

These axioms state that class expressions are disjoint,thus they have no instances in common.


Sources

  1. https://www.w3.org/TR/owl-ref/
  2. https://www.w3.org/TR/owl2-syntax/