Convex fuzzy mapping and operations of convex fuzzy mappings
β Scribed by Cheng Zhang; Xue-Hai Yuan; E. Stanley Lee
- Book ID
- 108076958
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 484 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0898-1221
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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
In this paper, a criterion for the convex fuzzy mapping is obtained under the condition of upper and lower semicontinuity, respectively. An upper (lower) semicontinuous fuzzy mapping is proved, which convexity is equivalent to weak convexity or B-vexity satisfying a special condition.
Goetschel and Voxman [1] have introduced the notion of a derivative for fuzzy mappings of one variable in a manner different from the usual one. In this paper, we define a differentiable fuzzy mapping of several variables in ways that parallel the definition, proposed by Goetschel and Voxman [1], f
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.