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Convergences of sequences of set-valued and fuzzy-set-valued functions

✍ Scribed by Lee-Chae Jang; Joong-Sung Kwon

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
409 KB
Volume
93
Category
Article
ISSN
0165-0114

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✦ Synopsis

We define some metrics on the space of integrably bounded multivalued functions and the space of integrably bounded fuzzy random variables with values in a separable Banach space. We also define various convergence of sequences of setvalued and fuzzy-set-valued functions. We investigate relationships among those convergences. Finally, we obtain Lebesguedominated convergence theorem for a sequence of fuzzy random variables.

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