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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.15 No.1

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INTUITIONISTIC FUZZY COMMUTATIVE IDEALSOF BCK-ALGEBRAS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2008, v.15 no.1, pp.73-84
Jun, Young-Bae
Lee, Dong-Soo
Park, Chul-Hwan
Jun,, Y. , Lee,, D. , & Park,, C. (2008). INTUITIONISTIC FUZZY COMMUTATIVE IDEALSOF BCK-ALGEBRAS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 15(1), 73-84.

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.

keywords
(commutative) BCK-algebra, (commutative) ideal, intuitionistic fuzzy (commutative) ideal

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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