• Title/Summary/Keyword: intuitionistic fuzzy interior ideal

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INTUITIONISTIC FUZZY INTERIOR IDEALS IN ORDERED SEMIGROUPS

  • Shabir, Muhammad;Khan, A.
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1447-1457
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    • 2009
  • In this paper we define intuitionistic fuzzy interior ideals in ordered semigroups. We prove that in regular(resp. intra-regular and semisimple) ordered semigroups the concepts of intuitionistic fuzzy interior ideals and intuitionistic fuzzy ideals coincide. We prove that an ordered semi group is intuitionistic fuzzy simple if and only if every intutionistic fuzzy interior ideal is a constant function. We characterize intra-regular ordered semi groups in terms of interior (resp. intuitionistic fuzzy interior) ideals.

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Intuitionistic fuzzy interior ideals in ordered semigroup

  • Park, Chul-Hwan
    • Journal of the Korean Institute of Intelligent Systems
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    • v.17 no.1
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    • pp.118-122
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    • 2007
  • 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.

INTUITIONISTIC FUZZY SEMIPRIME IDEALS OF A SEMIGROUPS

  • Ahn, Tae-Chon;Hur, Kul;Kang, Hak-Soo
    • The Pure and Applied Mathematics
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    • v.14 no.3
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    • pp.139-151
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    • 2007
  • We introduce the concept of intuitionistic fuzzy semiprimality of a semigroup which is an extension of semiprimality in it. And we obtain a characterization of a semigroup that is a semilattice of simple semigroups in terms of intuitionistic fuzzy semiprime interior ideals.

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