Projectivity in Intuitionistic Fuzzy G-Modules: An Extended Approach

Abstract

This article introduces the concepts of projectivity and quasi-projectivity for extended intuitionistic fuzzy G-modules. We establish a condition for finite-dimensional G-modules under which an extended intuitionistic fuzzy G-module is projective with respect to another extended intuitionistic fuzzy G-module. The paper also investigates several important properties of the projectivity of extended intuitionistic fuzzy G-modules with respect to the direct sum of extended intuitionistic fuzzy G-modules