A Study on Intuitionistic Fuzzy Maximal Ideals in Gamma Near-Rings

Abstract

This paper introduces the concepts of intuitionistic fuzzy maximal ideals and complete normal intuitionistic fuzzy ideals within the framework of \(\Gamma\)-near-rings. We investigate and analyse various properties related to these newly defined ideals, including their structural characteristics and relationships. This study aims to extend the understanding of intuitionistic fuzzy theory in algebraic structures, providing insights into the behavior of maximal and normal ideals under intuitionistic fuzziness. Furthermore, we examine the implications of these ideals in \(\Gamma\)-near-rings, offering a foundation for further research on fuzzy algebraic structures.