Since almost all practical problems are fuzzy and approximate, fuzzy decision making becomes one of the most important practical approaches. One of the important aspects for formulating and for solving fuzzy decision problems is the concept of convexity. In this paper, we investigate the interrelati
Convexity and semicontinuity of fuzzy mappings
โ Scribed by Yu-E. Bao; Cong-Xin Wu
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 344 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
The concept of upper and lower semicontinuity of fuzzy mappings introduced by Bao and Wu [Y.E. Bao, C.X. Wu, Convexity and semicontinuity of fuzzy mappings, Comput. Math. Appl., 51 (2006) 1809-1816] is redefined by using the concept of parameterized triples of fuzzy numbers. On the basis of the line
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