Title
On the compactness of fuzzy numbers with sendograph metric
Abstract
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.
Year
DOI
Venue
2004
10.1016/S0165-0114(03)00142-8
Fuzzy Sets and Systems
Keywords
Field
DocType
Fuzzy number,Sendograph metric,Equi-right-continuity,Compactness
Discrete mathematics,Uniform norm,Bounded set,Convex metric space,Intrinsic metric,Metric (mathematics),Uniform continuity,Metric space,Injective metric space,Mathematics
Journal
Volume
Issue
ISSN
143
3
0165-0114
Citations 
PageRank 
References 
11
1.46
1
Authors
1
Name
Order
Citations
PageRank
Taihe Fan1358.18