Interval-valued fuzzy hypergraph and fuzzy partition

Authors:
Shyi-Ming Chen
Affiliations:
Dept. of Comput. & Inf. Sci., Nat. Chiao Tung Univ., Hsinchu
Venue:
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Year:
1997

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Abstract

This paper extends the work of H. Lee-Kwang and L.M. Lee (1995) to present the concept of the interval-valued fuzzy hypergraph. In the interval-valued fuzzy hypergraph, the concepts of the dual interval-valued fuzzy hypergraph, the crisp-valued α-cut hypergraph, and the interval-valued [α1,α2 ]-cut at β level hypergraph are developed, where α∈ [0, 1], 0⩽α1⩽α2⩽1, and β∈ [0, 1]. We also use some examples to show that the proposed concepts are useful for the analysis and fuzzy partition of a system