Fuzzy hypergraph and fuzzy partition

Hyung Lee-Kwang · Keon Myung Lee

76 citations0/0 files storedIEEE Transactions on Systems Man and Cybernetics

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Fuzzy and Soft Set Theory Advanced Clustering Algorithms Research Advanced Algebra and Logic

Abstract

In this paper, the concept of hypergraph is extended to the fuzzy hypergraph. In the fuzzy hypergraph, the concepts of /spl alpha/-cut hypergraph, strength of edge and dual fuzzy hypergraph are developed. It is shown that the fuzzy hypergraph and /spl alpha/-cut hypergraph are useful to represent a fuzzy partition. An application example also shows that the strength of edge can be used to decompose the data set in a clustering problem.>

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References

1980Fuzzy Sets and Systems - Theory and Applications 1985Fuzzy Set Theory — and Its Applications 1987Analysis of fuzzy information

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2016Some isomorphic properties of m-polar fuzzy graphs with applications 2019A Study on Hypergraph Representations of Complex Fuzzy Information 2014Vague hypergraphs 2021Bipolar fuzzy soft information applied to hypergraphs

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