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On the compactness of fuzzy numbers with sendograph metric

✍ Scribed by Taihe Fan

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
204 KB
Volume
143
Category
Article
ISSN
0165-0114

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✦ Synopsis

In this paper, by embedding the fuzzy number space with the sendograph metric into the product of two uniformly support bounded complete metric spaces, we characterize compact sets of the fuzzy number space. The main result is that with respect to the sendograph metric a closed set is compact if and only if it is uniformly support bounded and equi-right-continuous at 0.

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