Pythagorean fuzzy labeling graph

Abstract

The objective of this paper is to introduce a new concept of Pythagorean Fuzzy Labeling. If a fuzzy labeling is a Pythagorean Fuzzy Labeling, then the membership value of the edges is strictly less than the corresponding membership value of its incident vertices and the non-membership value of the edges is strictly greater than the corresponding non-membership value of the incident vertices of a graph. The sub graphs and union of Pythagorean Fuzzy Labeling Graphs are defined.