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http://dx.doi.org/10.5391/JKIIS.2007.17.1.118

Intuitionistic fuzzy interior ideals in ordered semigroup  

Park, Chul-Hwan (Department of Mathematics, University of Ulsan)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.17, no.1, 2007 , pp. 118-122 More about this Journal
Abstract
In this paper, we consider the intuitionistic fuzzification of the notion of a interior ideal in ordered semigroup S, and investigate some properties of such ideals. In terms of intuitionistic fuzzy set, characterizations of intuitionistic fuzzy interior ideals in ordered semigroups are discussed. Using a collection of interior ideals with additional conditions, an intuitionistic fuzzy interiror ideal is constructed. Natural equivalence relations on the set of all intuitionistic fuzzy interior ideals of an ordered semigroup are investigated. We also give a characterization of a intuitionistic fuzzy simple semigroup in terms of intuitionistic fuzzy interior ideals.
Keywords
Intuitionistic fuzzy left(right,bi,quasi) ideals;
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