Cartesian Product of the Pythagorean Multi Anti-Fuzzy Rings

Abstract

Pythagorean fuzzy set, an extension of both the fuzzy set as well as the intuitionistic fuzzy set, provides a flexible framework to deal with uncertainty and ambiguity. Ring theory is one of the crucial study within the modern algebra which helps in dealing with some complex problems of modern science and technology. Cartesian product is one of the key operations defined on rings which is further used to study mappings and the characterization of these maps. In this article we propose a novel form of Cartesian product constructed between Pythagorean multi anti fuzzy rings. We also discuss some of its characteristics and use this product to further study the image, pre image and some other properties of the homomorphism defined within this framework.