New types of intuitionistic fuzzy interior ideals of ordered semigroups

Abstract

In many applied disciplines like computer science, coding theory and formal languages, the use of fuzzified algebraic structures play a remarkable role. In this paper, we introduced some new types of generalization of an intuitionistic fuzzy interior ideal, called (a, ß)-intuitionistic interior ideals of an ordered semigroup S. The important milestone of this paper is to link the ordinary interior ideals and (?, ? ?qk)-intuitionistic fuzzy interior ideals. The notion of (?, ? ? qk )-intuitionistic fuzzy interior ideal is introduced and characterizations of ordered semigroups in terms of (?, ? ?qk)-intuitionistic fuzzy interior ideals and (?, ? ? qk )-intuitionistic fuzzy interior ideals are given.