On convex and concave fuzzy mappings
β Scribed by Yu-Ru Syau
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 333 KB
- Volume
- 103
- Category
- Article
- ISSN
- 0165-0114
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π SIMILAR VOLUMES
The convexity and continuity of fuzzy mappings are defined through a linear ordering and a metric on the set of fuzzy numbers. The local-global minimum property of real-valued convex functions is extended to convex fuzzy mappings. It is proved that a strict local minimizer of a quasiconvex fuzzy map
Several inequalities are obtained for some differentiable convex mappings that are connected with the celebrated Her-mite-Hadamard integral inequality. Also a parallel development is made for concave functions.
In this paper we introduce the concepts of pseudo-convexity, invexity and pseudo-invexity for fuzzy mappings of one variable based on the notion of di erentiability proposed by Goetschel and Voxman [4], and investigate the relationship between convex fuzzy mappings, preinvex fuzzy mappings and these
We introduce the notions of m-convex fuzzy mapping and fuzzy integral mean. We study their properties and we give some applications. (~) 2000 Elsevier Science Ltd. All rights reserved.