Antipodal Interval-Valued Fuzzy Graphs

Hossein Rashmanlou · Madhumangal Pal

56 citations0/0 files storedarXiv (Cornell University)

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Fuzzy and Soft Set Theory Advanced Algebra and Logic Fuzzy Systems and Optimization

Abstract

Concepts of graph theory have applications in many areas of computer science including data mining, image segmentation, clustering, image capturing, networks, etc . An interval-valued fuzzy set is a generalization of the notion of a fuzzy set. Interval-valued fuzzy models give more precision, flexibility and compatibility to the system as compared to the fuzzy models. In this paper, we introduce the concept of antipodal interval - valued fuzzy graph and self median interval-valued fuzzy graph of the given interval-valued fuzzy graph. We investigate isomorphism properties of antipodal interval - valued fuzzy graphs.

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References

1996Fuzzy sets 2000Fuzzy Graphs and Fuzzy Hypergraphs 1987Some remarks on fuzzy graphs 2011Bipolar fuzzy graphs 1994Operations on fuzzy graphs 2012Strong intuitionistic fuzzy graphs 2010Interval-valued fuzzy graphs 2013Fuzzy k-Competition Graphs and p-Competition Fuzzy Graphs

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