DEGREES OF PYTHAGOREAN INTUITIONISTIC FUZZY GRAPH

Abstract

This paper presents a comprehensive exploration of various classifications of Pythagorean Intuitionistic Fuzzy Graphs (PIFGs). Specifically, it delves into multiple types, such as regular, irregular, totally regular, totally irregular, neighbourly regular, neighbourly irregular, highly regular, highly irregular, neighbourly totally regular, neighbourly totally irregular, strongly irregular and strongly totally irregular graphs using the open and closed degrees of PIFG. Each of these categories is defined and discussed in detail to highlight their unique characteristics and implications. Furthermore, the paper provides rigorous proofs of several theorems and results that pertain to these diverse graph types, enhancing our understanding of their properties and relationships within the broader context of fuzzy graph theory.