Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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SOFT SET THEORY APPLIED TO COMMUTATIVE IDEALS IN BCK-ALGEBRAS

  • Jun, Young-Bae (Department of Mathematics Education, Gyeongsang National University) ;
  • Lee, Kyoung-Ja (Department of Mathematics Education, Hannam University) ;
  • Park, Chul-Hwan (Department of Mathematics, University of Ulsan)
  • Published : 2008.05.31
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Abstract

Molodtsov [12] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to commutative ideals of BCK-algebras, The notions of commutative soft ideals and commutative idealistic soft BCK-algebras are introduced, and their basic properties are investigated. Examples to show that there is no relations between positive implicative idealistic soft BCK-algebras and commutative idealistic soft BCK-algebras are provided.

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