Fermatean Fuzzy x-Homeomorphism in Fermatean Fuzzy Topological Spaces

Abstract

A relatively new development in fuzzy set theory, Fermatean fuzzy sets (FFSs) were developed for
 working with higher-level, uncertain data. They provide an even more robust structure for characterizing de
gree of membership and degree of non-membership, extending on the notions of Pythagorean fuzzy sets (PFSs)
 and Intuitionistic fuzzy sets (IFSs). There are multiple fields of mathematics and applications that depend
 extensively on topological generalization of open sets. Topological spaces can be described and analyzed with
 the aid of homeomorphisms, which provide an empirical way to identify whether two spaces are identical in a
 topological sense with respect to their essential features. In this study we introduce and investigate the concept
 of FF α-irresolute, FF α open and clossed mapping, FF α-homeomorphism and, FF α∗-homeomorphism.