Equivalent condition between convex fuzzy set and fuzzy closed set
Liyuan Wang · Journal of Heilongjiang Institute of Technology · 2004
In this paper we intoduce the definition of convex fuzzy sets from (3), fuzzy closed set from (1) and weakly quasi-convex fuzzy set from (2). Base on those three definations, we discuss the relationships among those convex sets. We give an equivalent condition that a fuzzy closed set is a quasi-convex fuzzy set and a relate condition between quasi-convex fuzzy set and convex set. Consequently the theory of the convex fuzzy sets is enriched.