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Fuzzy hypergraph and fuzzy partition

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2 Author(s)
Hyung Lee-Kwang ; Dept. of Comput. Sci., Korea Adv. Inst. of Sci. & Technol., Taejon, South Korea ; Keon-Myung Lee

In this paper, the concept of hypergraph is extended to the fuzzy hypergraph. In the fuzzy hypergraph, the concepts of α-cut hypergraph, strength of edge and dual fuzzy hypergraph are developed. It is shown that the fuzzy hypergraph and α-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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Systems, Man and Cybernetics, IEEE Transactions on  (Volume:25 ,  Issue: 1 )