Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

BIFUZZY IDEALS OF PSEUDO MV-ALGEBRAS

  • Cho Yong-Uk (Department of Mathematics Education, College of Education, Silla University) ;
  • Jun Young-Bae (Department of Mathematics Education, Gyeongsang National University) ;
  • Song Seok-Zun (Department of Mathematics, Cheju National University)
  • Published : 2006.09.01

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Abstract

After the introduction of fuzzy sets by Zadeh [8], there have been a number of generalizations of fundamental concept. The notion of intuitionistic fuzzy sets introduced by Atanassov is one among them. An intuitionistic fuzzy set is also called a bifuzzy set according to [5]. In this paper, we apply the concept of a bifuzzy set to (implicative) ideals in pseudo MV-algebras. The notion of a bifuzzy (implicative) ideal of a pseudo MV-algebra is introduced, and some related properties are investigated. Conditions for a bifuzzy set to be a bifuzzy ideal are given, and characterizations of a bifuzzy (implicative) ideal are provided. Using a family of ideals, bifuzzy ideals are established.

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