Using the notion of an anti fuzzy point and its besideness to and non-quasicoincidence with a fuzzy subset, some new concept of an anti fuzzy interior ideals in LA-semigroups are introduced and their interrelations and related properties are investigated. We also introduce the notion of a strongly besideness and strongly non-quasicoincidence of an anti fuzzy point with a fuzzy subset and charac...

In this paper we introduce the notion of intuitionistic fuzzy ideals which is considered as a generalization of fuzzy ideals studies in [1, 2, 3, 11 ], the important intuitionistic fuzzy ideal has been given. The concept of intuitionistic fuzzy local function is also introduced here by utilizing the neighborhood structure for an intuitionistic fuzzy topological space. These concepts are discus...

In this paper, we introduce the concept of interval valued fuzzy ideals of Γ-near-rings, We also characterize some of its properties and illustrate with examples of interval valued fuzzy ideals of Γ-near-rings .

Maji et al. introduced the concept of intuitionistic fuzzy soft sets, which is an extension to the soft set and intuitionistic fuzzy set. In this paper, we apply the concept of intuitionistic fuzzy soft sets to semigroup theory. The notion of intuitionistic fuzzy soft ideals over a semigroup is introduced and their basic properties are investigated. Some lattice structures of the set of all int...

In this paper we give some basic results for interval valued fuzzy ideals and characterize regular and weakly regular hemirings by the properties of their interval valued fuzzy ideals. 2010 AMS Classification: 16Y60, 08A72, 03G25, 03E72