On Generalized Fuzzy Interior Ideals in Γ-semigroups

نویسندگان

  • Sujit Kumar Sardar
  • Bijan Davvaz
  • Samit Kumar Majumder
  • Soumitra Kayal
چکیده

In this paper, using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, the concept of (∈,∈ ∨q)fuzzy interior ideals in a Γ-semigroup has been introduced and some of their important related properties have been investigated. Characterizations of regular Γsemigroups, intra-regular Γ-semigroups, and semisimple Γ-semigroups in terms of (∈,∈ ∨q)-fuzzy interior ideals have also been obtained.

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تاریخ انتشار 2012