A New Characterization of Compact Sets in Fuzzy Number Spaces
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-14
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We give a new characterization of compact subsets of the fuzzy number space equipped with the level convergence topology.
Based on this, it is shown that compactness is equivalent to sequential compactness on the fuzzy number space endowed with the level convergence topology.
Our results imply that some previous compactness criteria are wrong.
A counterexample also is given to validate this judgment.
American Psychological Association (APA)
Huang, Huan& Wu, Congxin. 2013. A New Characterization of Compact Sets in Fuzzy Number Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-500721
Modern Language Association (MLA)
Huang, Huan& Wu, Congxin. A New Characterization of Compact Sets in Fuzzy Number Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-500721
American Medical Association (AMA)
Huang, Huan& Wu, Congxin. A New Characterization of Compact Sets in Fuzzy Number Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-500721
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500721
