An elementary introduction to intuitionistic fuzzy soft graph

Abstract

Many fields deal with uncertain data. Classical mathematical tools are unable to solve uncertain data in many situations. There are several theories viz. theory of probability, theory of evidence, fuzzy set, intuitionistic fuzzy set, vague set for dealing uncertainties but they have their own difficulties. The reason for difficulties is inadequacy of parameterization tools of the theories. The concept of fuzzy soft set theory is one of the recent topics developed for dealing the uncertainties. The parameterization tools of soft set theory enhances the flexibility of its application. In this paper we introduce the concept of intuitionistic fuzzy soft graph, strong intuitionistic fuzzy soft graph, union and intersection of intuitionistic fuzzy soft graph.