Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Intuitionistic Fuzzy Bi-ideals of Ordered Semigroups

  • Jun, Young Bae (Department of Mathematics Education, Gyeongsang National University)
  • Received : 2004.04.13
  • Published : 2005.12.23
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Abstract

The intuitionistic fuzzification of the notion of a bi-ideal in ordered semigroups is considered. In terms of intuitionistic fuzzy set, conditions for an ordered semigroup to be completely regular is provided. Characterizations of intuitionistic fuzzy bi-ideals in ordered semigroups are given. Using a collection of bi-ideals with additional conditions, an intuitionistic fuzzy bi-ideal is constructed. Natural equivalence relations on the set of all intuitionistic fuzzy bi-ideals of an ordered semigroup are investigated.

Keywords

Acknowledgement

Supported by : Korea Research Foundation

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