Generalized Fuzzy Interior Ideals in Abel Grassmann's Groupoids

الملخص EN

Using the notion of a fuzzy point and its belongness to and quasicoincidence with a fuzzy subset, some new concepts of a fuzzy interior ideal in Abel Grassmann's groupoids S are introduced and their interrelations and related properties are invesitigated.

We also introduce the notion of a strongly belongness and strongly quasicoincidence of a fuzzy point with a fuzzy subset and characterize fuzzy interior ideals of S in terms of these relations.