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Axioms 2018, 7(2), 20; https://doi.org/10.3390/axioms7020020

Graphs in an Intuitionistic Fuzzy Soft Environment

Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
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Received: 17 February 2018 / Revised: 9 March 2018 / Accepted: 14 March 2018 / Published: 23 March 2018
(This article belongs to the Special Issue New Trends in Fuzzy Set Theory and Related Items)
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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. View Full-Text
Keywords: regular intuitionistic fuzzy soft graphs; irregular intuitionistic fuzzy soft graph; edge irregular intuitionistic fuzzy soft graphs; decision-making regular intuitionistic fuzzy soft graphs; irregular intuitionistic fuzzy soft graph; edge irregular intuitionistic fuzzy soft graphs; decision-making
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Shahzadi, S.; Akram, M. Graphs in an Intuitionistic Fuzzy Soft Environment. Axioms 2018, 7, 20.

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