Interval-valued fuzzy hypergraph and fuzzy partition

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