A class of convex fuzzy mappings

Authors:
Hong Yan;Jiuping Xu
Affiliations:
Department of Management, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China;Department of Management Science and Engineering, Sichuan University, Chengdu, China
Venue:
Fuzzy Sets and Systems
Year:
2002

Citing 10
Cited 9

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On characterizations of preinvex fuzzy mappings

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A Characterization of Convex Fuzzy Mappings

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On properties of convex fuzzy mappings

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Abstract

Based on the concept of ordering defined by Goetschel and Voxman (Fuzzy Sets and Systems 18 (1996) 31), in this paper we present the concepts of epigraph and convexity of the fuzzy mappings, and describe characteristics of the convex fuzzy mappings and quasi-convex fuzzy mappings. Then, we discuss the properties of convex fuzzy optimizations.