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Intuitionistic fuzzy interior ideals of semigroups

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  • Kyung Ho Kim
  • Young Bae Jun

Abstract

We consider the intuitionistic fuzzification of the concept of interior ideals in a semigroup S , and investigate some properties of such ideals. For any homomorphism f from a semigroup S to a semigroup T , if B = ( μ B , γ B ) is an intuitionistic fuzzy interior ideal of T , then the preimage f − 1 ( B ) = ( f − 1 ( μ B ) , f − 1 ( γ B ) ) of B under f is an intuitionistic fuzzy interior ideal of S .

Suggested Citation

  • Kyung Ho Kim & Young Bae Jun, 2001. "Intuitionistic fuzzy interior ideals of semigroups," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 27, pages 1-7, January.
    • Handle: RePEc:hin:jijmms:240869
    DOI: 10.1155/S0161171201010778
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    Cited by:

    1. Hidayat Ullah Khan & Asghar Khan & Faiz Muhammad Khan & Yongjin Li, 2017. "Generalized Bi-ideal of Ordered Semigroup Related to Intuitionistic Fuzzy Point," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 1(1), pages 9-15, January.

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