In this paper, we introduced the concept interval valued intuitionistic fuzzy point. We combine the concept of an interval valued intutionistic fuzzy set with interval valued intuitionistic fuzzy point, to introduce the notion of an (α, β)-intuitionistic fuzzy sub-hemiring (left, right, two sided) ideal of hemirings, where α, β are any two of {∈, q, ∈ ∨q, ∈ ∧q} with α / = ∈ ∧q. Moreover, we define prime (semiprime) interval valued (α, β)-intuitionistic fuzzy ideals of hemirings and investigate some different properties of these ideals.
We study the soft sets applied on the structure of filters of BCK-algebras. A connection between soft BCK-algebras and filteristic soft BCK-algebras is given also. Finally, important operations such as intersection, union, "AND", "OR", and subset operations of soft filters and filteristic soft BCK-algebras are investigated.
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