Z-connectedness in Fermatean Fuzzy Topological Spaces

Abstract

In this paper, we study the notion of Fermatean fuzzy (resp. δ, δS, P and Z) connected respective disconnectedness in Fermatean fuzzy topological spaces. We also give some properties and theorems of such concepts with Fermatean fuzzy connected spaces. Also we provide a comprehensive study of Fermatean fuzzy separated sets specifically the δ, δS, P and Z-separated sets within the framework of Fermatean fuzzy topological spaces. We establish several fundamental results concerning these separation concepts. Additionally, we introduce the notion of Fermatean fuzzy compact spaces, including their δ, δS, P and Z-variants, and examine their core properties with respect to the corresponding open sets