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On the continuity of fuzzy number valued function

โœ Scribed by Liu Xuecheng

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
131 KB
Volume
68
Category
Article
ISSN
0165-0114

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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~

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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].