Graphs in an Intuitionistic Fuzzy Soft Environment

Abstract

In this research article, we present a novel framework for handling intuitionistic fuzzy soft information by combining the theory of intuitionistic fuzzy soft sets with graphs. We introduce the notion of certain types of intuitionistic fuzzy soft graphs including neighbourly edge regular intuitionistic fuzzy soft graphs and strongyl edge irregular intuitionistic fuzzy soft graphs. We illustrate these novel concepts by several examples, and investigate some of their related properties. We present an application of intuitionistic fuzzy soft graph in a decision-making problem and also present our methods as an algorithm that is used in this application.

Keywords

• regular intuitionistic fuzzy soft graphs
• irregular intuitionistic fuzzy soft graph
• edge irregular intuitionistic fuzzy soft graphs
• decision-making