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The problem of completeness for p-mean symmetric difference metric

โœ Scribed by Fachao Li; Jiqing Qiu; Jianren Zhai


Book ID
104293063
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
140 KB
Volume
116
Category
Article
ISSN
0165-0114

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โœฆ Synopsis


In this paper, by applying Lebesgue's measure on the symmetric di erence of sets, the p-mean symmetric di erence metric d p is established to measure the di erence between fuzzy numbers. The basic properties of Cauchy sequences of (E 1 ; d p ) are discussed, and we show (E 1 (K); d p ) is complete (where

), further, an example where the space (E 1 ; d p ) is not complete is given.


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