Some Special Types of Edges in Apicture Fuzzy Tree

Abstract

In both theory and applications of fuzzy graphs, the concept of connectednessis significant. This study analyzes edges in a picture fuzzy tree into three typesbased on their strength such as robust edge, fragile edge and futile edge. Theadvantage of this classification is used to understand the fundamental structureofapicturefuzzytree.Sometheoremsandpropertiesrelatedtotheseedgeshavebeen provedwith examples.