A study on intuitionistic fuzzy sets in Γ-semihypergroups

The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, using Atanassov idea, we continue the study on intuitionistic fuzzy sets in Γ-semihypergroups initiated recently by Ersoy and Davvaz [25]. We give some further properties of intuitionistic fuzzy Γ-hyperideals and intuitionistic fuzzy bi-Γ-hyperideals in a Γ-semihypergroup and use the intuitionistic fuzzy left, right, two-sided and bi-Γ-hyperideals to characterize some classes of Γ-semihypergroups. We introduce and study λ, μ-intuitionistic fuzzy Γ-hyperideals. We also introduce the notion of an intuitionistic fuzzy M resp. N-hypersystem of a Γ-semihypergroup and some properties of them are investigated.

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