Semantic operations of multiple soft sets under conflict

Abstract

a b s t r a c tMolodtsov 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.

Hesitant Fuzzy Soft Sets with Application in Multicriteria Group Decision Making Problems

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Conflict Analysis for Pythagorean Fuzzy Information Systems

“…Many scholars [4][5][6][7][8][9][10][11][12][13][14][15][16][17][19][20][21][22][23][26][27][28][29][30]34,36,40,41] focused on conflict analysis of information systems, and improved the relationship between the two sides of a conflict by finding the essence of the conflict issue. For example, Deja [5] examined nature of conflicts as we are formally defining the conflict situation model.…”