Fuzzy Sets and Systems
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Convexity and local Lipschitz continuity of fuzzy-valued mappings
Fuzzy Sets and Systems
On convex and concave fuzzy mappings
Fuzzy Sets and Systems
A class of convex fuzzy mappings
Fuzzy Sets and Systems
Convex fuzzy mapping and operations of convex fuzzy mappings
Computers & Mathematics with Applications
Generalized convex fuzzy mappings and fuzzy variational-like inequality
Fuzzy Sets and Systems
A t-norm embedding theorem for fuzzy sets
Fuzzy Sets and Systems
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The preinvexity, prequasiinvexity, "1-convexity, and "1-quasiconvexity of fuzzy mappings are defined based on a linear ordering on the set of fuzzy numbers. Characterizations for these fuzzy mappings are obtained. The local-global minimum properties of real-valued preinvex functions and "1-convex functions are extended to preinvex fuzzy mappings and "1-convex fuzzy mappings, respectively. It is also proved that every strict local minimizer of a prequasiinvex fuzzy mapping is a strict global minimizer, and that every strict local minimizer of a "1-quasiconvex fuzzy mapping is a strict global minimizer.