The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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INTUITIONISTIC FUZZY COMMUTATIVE IDEALS OF BCK-ALGEBRAS

  • Jun, Young-Bae (Department of Mathematics Education(and RINS), Gyeongsang National University) ;
  • Lee, Dong-Soo (Department of Mathematics, University of Ulsan) ;
  • Park, Chul-Hwan (Department of Mathematics, University of Ulsan)
  • Published : 2008.02.28
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Abstract

After the introduction of fuzzy sets by Zadeh, there have been a number of generalizations of this fundamental concept. The notion of intuitionistic fuzzy sets introduced by Aranassov is one among them. In this paper, we apply the concept of an intuitionistic fuzzy set to commutative ideals in BCK-algebras. The notion of an intuitionistic fuzzy commutative ideal of a BCK-algebra is introduced, and some related properties are investigated. Characterizations of an intuitionistic fuzzy commutative ideal are given. Conditions for an intuitionistic fuzzy ideal to be an intuitionistic fuzzy commutative ideal are given. Using a collection of commutative ideals, intuitionistic fuzzy commutative ideals are established.

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