# Submissions:Partition

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## Revision as of 10:28, 7 October 2009

 If you are a member of quality committee please visit the If you are author of this proposal or you want to contribute to this pattern's review, you can: In general, it could be useful to visit the evaluation section to have information about the evaluation process of this proposal Current revision ID: 5888

# General information

 Name Partition OlafNoppens

# Description

 Motivation The Partition Pattern is a logical pattern that introduces axioms which model a partition of concepts. A partition is a general structure which is divided into several disjoint parts. With respect to ontologies the structure is a concept which is divided into several pair-wise disjoint concepts. This pattern reflects the simplest case where a named concept is defined as a partition of concepts. The Partition Pattern describes how to model a partition, i.e., a named concept which is divided into several disjoint concepts. Applying this pattern to an ontology will introduce the necessary axioms. Let P be a named concept that is the partition which is divided into several concepts C_i. Then the partition is defined by introducing the following axioms (expressed in KRSS [1]): (define-concept P (or C0 C1 ... Cn) ) (disjoint Ci Cj) ( 0 ≤ i,j ≤ n, i ≠ j ). Here (disjoint C_i C_j)a placeholder for the pair-wise disjointness of all C_i. Note that C_i can also be arbitrary concept expressions (even if this is not allowed in the original KRSS syntax). In OWL 2 [2] the axioms can be expressed as follows (using OWL 2 Abstract Syntax): EquivalentClasses(P, ObjectUnionOf(C1, ..., Cn)) DisjointClasses(C1, ..., Cn) [1] Patel-Schneider, P. F., Swartout, B.: Description-Logic Knowledge Representation System Specification, 1993 [2] Motik, B., Patel-Schneider, P. F., Parsia, B.: OWL 2 Structural Specification and Functional-Style Syntax. W3C Candidate Recommendation 11 June 2009.

# Example

 Problem example In an ontology about family relationship we deﬁned concepts such as Person, Aunt and ParentOfSon which are characterized by a relationships such as hasChild(resp. the inverse relationship hasParent), hasSibling, ' married-with as well as by the gender of people (Male respectively Female). There are a lot of similar ontologies about family relationships. EquivalentClasses(Parent-Of-Son ObjectSomeValuesFrom (has-Child Male) ) EquivalentClasses(Parent-Of-Daughter ObjectSomeValuesFrom(has-Child Female) ) EquivalentClasses(Aunt ObjectIntersectionOf(Uncle-Or-Aunt Female)) EquivalentClasses(Uncle-Or-Aunt ObjectIntersectionOf(Person ObjectSomeValuesFrom(has-Sibling Parent))) The concept Gender is partitioned in Male and Female. Applying this pattern results in the following axioms: EquivalentClasses(Gender, ObjectUnionOf(Male Female)) DisjointClasses(Male Female) http://www.informatik.uni-ulm.de/ki/Noppens/generation.owl

# Scenarios

No scenario is added to this Content OP.

# Reviews

Review article Posted on About revision (current is 5888)
LuigiIannone about Partition 24550827 September 2009 56165,616
MartaSabou about Partition 24550838 September 2009 56795,679
HenrikEriksson about Partition 24550849 September 2009 57485,748
LuigiIannone about Partition 2 245508510 September 2009 57505,750
RinkeHoekstra about Partition 245513025 October 2009 59015,901

This revision (revision ID 5888) takes in account the reviews: Http://ontologydesignpatterns.org/wiki/Reviews:MartaSabou about Partition, Http://ontologydesignpatterns.org/wiki/Reviews:HenrikEriksson about Partition, Http://ontologydesignpatterns.org/wiki/Reviews:LuigiIannone about Partition 2

Other info at evaluation tab

Submission to event