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Some notes on the supremum and infimum of the set of fuzzy numbers

โœ Scribed by Congxin Wu; Cong Wu

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
311 KB
Volume
103
Category
Article
ISSN
0165-0114

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โœฆ Synopsis

In this paper, we give a necessary and sufficient condition under which a pair of usual functions of 2 on [0, 1] (sup,(u,)~-, sup,(u,) +) can determine a fuzzy number, and give a condition under which the supremum and infimum for a sequence of fuzzy numbers preserve the approximation properties for a metric D. In addition, we obtain the criterion that the continuous fuzzy-valued function on a closed interval can attain its supremum and infimum. (~) 1999 Elsevier Science B.V. All rights reserved.

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