Some Results and Properties of Fuzzy Non-Adjacency Compatible Vertices Topology on Fuzzy Digraphs

Abstract

This paper introduces some results and properties of fuzzy non-adjacency compatible vertices topology related to fuzzy directed graphs, we have studied and analyzed a number of associated properties and also discussed them in the context of some important and specific types of fuzzy digraph labels. Our aim is to give basic steps towards investigating some properties of fuzzy directed graphs through this our new fuzzy topology. Through rigorous investigation and the establishment of foundational propositions, corollaries, and some examples, this research clarified several important topological characteristics, such as relations of fuzzy separation axioms, fuzzy compactness, Alexandroff space properties, and conditions for discreteness