Convex hull and closure of a fuzzy set
Convex fuzzy set and closed fuzzy set are important concepts in the fuzzy set theory. In this paper, concepts of convex hull, closure, convex closure and closed convex hull of a fuzzy set are presented. Some properties of these concepts are studied, and the relations among these concepts are also investigated. Furthermore, the expression theorems for points in level sets of convex hull and closure of a fuzzy set are given.
convex hull closure fuzzy set convex closure closed convex hull