Fuzzy Sets and Systems
Convexity and local Lipschitz continuity of fuzzy-valued mappings
Fuzzy Sets and Systems
Fuzzy Weirstrass theorem and convex fuzzy mappings
Computers & Mathematics with Applications
Convexity and semicontinuity of fuzzy mappings
Computers & Mathematics with Applications
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We study two different concepts of semicontinuity of fuzzy mappings by establishing characterizations of these fuzzy mappings. Relationships between semicontinuity and continuity of fuzzy mappings are explored. Some basic properties of these semicontinuous and continuous fuzzy mappings are presented and proved.