Triangular norm (δ, γ) - fuzzy interior-ideals of hemi rings and its properties

Abstract

We expand the notion of triangular norm (t-norm) from Rajesh Kumar [1]. The concept of fuzzy sets was introduced by Zadeh [2] in 1965. Rosenfield [3] introduced the notion of a fuzzy group as easily as 1971. The author have already introduced the notation (δ,γ)- fuzzy in [4] and t – norm (δ,γ)- fuzzy [5]. A definition of t – norm (δ,γ)- fuzzy ideals and t – norm (δ,γ)- fuzzy interior ideals of hemi rings are discussed. Some properties of t – norm (δ,γ)- fuzzy interior ideals such that intersection of any two t – norm (δ,γ)- fuzzy interior ideals, and the product of two t – norm (δ,γ)- fuzzy interior ideals, have been discussed. Some other results related to t – norm (δ,γ)- fuzzy interior ideals have been proved.