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 alpha-cut hypergraph, and the interval-valued [alpha(1),alpha(2 )]-cut at beta level hypergraph are developed, where alphain [0, 1], 0</=alpha(1)</=alpha(2)</=1, and betain [0, 1]. We also use some examples to show that the proposed concepts are useful for the analysis and fuzzy partition of a system.
Chen
S M
SM
Dept. of Comput. & Inf. Sci., Nat. Chiao Tung Univ., Hsinchu.