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Title: Equivalent fuzzy sets (English)
Author: Šešelja, Branimir
Author: Tepavčević, Andreja
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 41
Issue: 2
Year: 2005
Pages: [115]-128
Summary lang: English
Category: math
Summary: Necessary and sufficient conditions under which two fuzzy sets (in the most general, poset valued setting) with the same domain have equal families of cut sets are given. The corresponding equivalence relation on the related fuzzy power set is investigated. Relationship of poset valued fuzzy sets and fuzzy sets for which the co-domain is Dedekind-MacNeille completion of that posets is deduced. (English)
Keyword: poset valued fuzzy set
Keyword: cut
Keyword: equivalent fuzzy sets
Keyword: Dedekind- MacNeille completion
MSC: 03B52
MSC: 03E72
MSC: 06A15
idZBL: Zbl 1249.03088
idMR: MR2138763
Date available: 2009-09-24T20:07:34Z
Last updated: 2015-03-23
Stable URL:
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