Intuitionistic fuzzy interior ideal of semigroup based on intuitionistic fuzzy point
Journal: Matrix Science Mathematic (MSMK)
Author: Hidayat Ullah Khan, Nor Haniza Sarmin, Asghar Khan, and Faiz Muhammad Khan and Muhammad Taj
This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
The intuitionistic fuzzification of the notion of an interior ideal in ordered semigroups is considered. The purpose of this study is to introduce the notion of (∈, ∈ vq)-intuitionistic fuzzy interior ideals and (∈, ∈)-intuitionistic fuzzy nterior ideals of semigroups. The important milestone of the present paper is to link ordinary intuitionistic fuzzy interior ideals, (∈, ∈)-intuitionistic fuzzy interior ideals and (∈, ∈ vq)-intuitionistic fuzzy interior ideals. Moreover, semigroups are characterized by the properties of these new notions.