Picture fuzzy ideals in near rings under group actions

Abstract

A useful technique for examining the symmetry and automorphism characteristics of near rings is group action. In this paper, we study picture fuzzy (PF) ideals of near rings, which are extension of both fuzzy and intuitionistic fuzzy ideals, under group action. Also, we study properties of picture fuzzy ideals under G-homomorphism. In order to develop an innovative structure for picture fuzzy sets on near rings under group actions, we concentrate on merging the theories of picture fuzzy sets on near rings. The purpose of this manuscript is to use picture fuzzy sets to deal with various theories in near rings. We then provide appropriate definitions for the operations of Picture fuzzy ideals over a near ring, including product, composition and intersection as well as study properties of images and inverse images of picture fuzzy ideals under group actions.