Semantic operations of multiple soft sets under conflict

Semantic operations of multiple soft sets under conflict

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Article ID: iaor20118243
Volume: 62
Issue: 4
Start Page Number: 1923
End Page Number: 1939
Publication Date: Aug 2011
Journal: Computers and Mathematics with Applications
Authors: , , ,
Keywords: knowledge management, sets
Abstract:

Molodtsov initiated the concept of soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. Description Logics (DLs) are a family of knowledge representation languages which can be used to represent the terminological knowledge of an application domain in a structured and formally well‐understood way. Nowadays, properties and semantics of ontology constructs mainly are determined by DLs. In this paper we investigate semantic operations of multiple standard soft sets by using domain ontologies (i.e., DL intensional knowledge bases). Concretely, we give some semantic operations such as complement, restricted difference, extended union, restricted intersection, restricted union, extended intersection, AND, and OR for (multiple) standard soft sets from a semantic point of view. Especially, we also present an approach to deal with conflict from a semantic point of view when we define these semantic operations. Moreover, the basic properties and implementation methods of these semantic operations under conflict are also presented and discussed.

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