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.
Convexity and local Lipschitz continuity of fuzzy-valued mappings
β Scribed by Nagata Furukawa
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 411 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0165-0114
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