On generalized fuzzy weakly interior ideals of ordered semigroups
نویسندگان
چکیده
Abstract. In this paper, we introduce generalized fuzzy weakly interior ideals of an ordered semigroup. We generalize fuzzy interior ideals of an ordered semigroup. We establish necessary and sufficient condition for a fuzzy set to be a generalized fuzzy weakly interior ideal. We establish three equivalent conditions for an ordered semigroup to be regular. We characterize semisimple ordered semigroups by generalized fuzzy weakly interior ideals and generalized fuzzy right ideals of ordered semigroups. We prove that every generalized fuzzy weakly interior ideal coincides with generalized fuzzy ideal in semisimple ordered semigroups. We establish necessary and sufficient conditions for an ordered semigroup to be right weakly regular in terms of generalized fuzzy weakly interior ideals and generalized fuzzy generalized bi-ideals.
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