The convergence for a sequence of fuzzy integrals of fuzzy number-valued functions on the fuzzy set
β Scribed by Zhang Guang-quan
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 611 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0165-0114
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π SIMILAR VOLUMES
We show that given a sequence {f,} of uniformly continuous real-valued functions which converges uniformly on a separable Banach space E, the sequence {F,} of fuzzy-number-valued functions on X, induced by f, through Zadeh's extension, converges uniformly with respect to the Hausdorff metrics on Fc~
This is a subsequent paper of [9]. By using the concepts of fuzzy number fuzzy measures [9] and fuzzy-valued functions [10], a theory of fuzzy integrals of fuzzy-valued functions with respect to fuzzy number fuzzy measures is built up. So far, it is a more general one following Sugeno's [5].
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