Study of Gamma Semigroups via its Operator Semigroups in terms of Atanassov's Intuitionistic Fuzzy Ideals

TL;DR

This paper explores the relationships between gamma semigroups and their operator semigroups using intuitionistic fuzzy ideals, providing new characterization theorems to deepen understanding of their structure.

Contribution

It introduces novel characterizations of gamma semigroups via intuitionistic fuzzy subsets and highlights the significance of operator semigroups in this context.

Findings

Fundamental relationships between gamma semigroups and operator semigroups established.

Characterization theorems for gamma semigroups using intuitionistic fuzzy ideals derived.

Role of operator semigroups in understanding gamma semigroups emphasized.

Abstract

In this paper some fundamental relationships of a gamma semigroup and its operator semigroups in terms of intuitionistic fuzzy subsets, intuitionistic fuzzy ideals, intuitionistic fuzzy prime(semiprime) ideals, intuitionistic fuzzy ideal extensions are obtained. These are then used to obtain some important characterization theorems of gamma semigroups in terms of intuitionistic fuzzy subsets so as to highlight the role of operator semigroups in the study of gamma semigroups in terms of intuitionistic fuzzy subsets.