Edge regular intuitionistic fuzzy soft graphs

Article type: Research Article

Authors: Shahzadi, Sundas | Akram, Muhammad^*

Affiliations: Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

Correspondence: [*] Corresponding author. Muhammad Akram, Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan. E-mail: makrammath@yahoo.com.

Abstract: In this research article, we present a novel frame work for handling intuitionistic fuzzy soft information by combining the theory of intuitionistic fuzzy soft sets with graphs. We present the concepts of intuitionistic fuzzy soft graphs, regular intuitionistic fuzzy soft graphs and irregular intuitionistic fuzzy soft graphs. We illustrate these concepts by describing several examples. We investigate some of their related properties. We introduce the notion of edge regular intuitionistic fuzzy soft graphs and present some of their interesting properties. We also present an application of intuitionistic fuzzy soft graphs in decision-making.

Keywords: Regular intuitionistic fuzzy soft graphs, irregular intuitionistic fuzzy soft graph, edge regular intuitionistic fuzzy soft graphs, decision-making

DOI: 10.3233/JIFS-16120

Journal: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 3, pp. 1881-1895, 2016