Hesitant fuzzy graphs and their applications in decision making

Faruk Karaaslan

25 citations0/0 files storedJournal of Intelligent & Fuzzy Systems

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Fuzzy and Soft Set Theory Multi-Criteria Decision Making Rough Sets and Fuzzy Logic

Abstract

In this study, hesitant fuzzy graph (HFG) structure and some concepts related to HFGs such as homomorphism, isomorphism, weak isomorphism and co-weak isomorphism are introduced. Also, operations of Cartesian product, direct product, lexicographical product and strong product between two HFGs are de fined, and examples are given related these operations. Finally, a decision making algorithm and an application of HFGs in decision making are given.

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1965Fuzzy sets 1986Intuitionistic fuzzy sets 2010Hesitant fuzzy sets 1999Intuitionistic Fuzzy Sets 2010Hesitant fuzzy information aggregation in decision making 1999Intuitionistic Fuzzy Sets: Theory and Applications 1975FUZZY GRAPHS††The support of the Office of Computing Activities, National Science Foundation, under Grant GJ-32258X, is gratefully acknowledged, as is the help of Shelly Rowe in preparing this paper.1987Some remarks on fuzzy graphs

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