General Mathematics


Certain Types of Graphs in Interval-Valued Intuitionistic Fuzzy Setting

Authors: S. Naz, M. A. Malik, H. Rashmanlou

Interval-valued intuitionistic fuzzy set (IVIFS) as a generalization of intuitionistic fuzzy set (IFS) increase its elasticity drastically. In this paper, some important types of interval-valued intuitionistic fuzzy graphs (IVIFGs) such as regular, irregular, neighbourly irregular, highly irregular and strongly irregular IVIFGs are discussed. The relation among neighbourly irregular, highly irregular and strongly irregular IVIFGs is proved. The notion of interval-valued intuitionistic fuzzy clique (IVIFC) is introduced. A complete characterization of the structure of the IVIFC is presented.

Comments: 18 Pages.

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[v1] 2017-02-18 14:00:18

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