| Authors: | Šešelja, Branimir Tepavčević, Andreja |
Title: | Equivalent fuzzy sets | Journal: | Kybernetika | Volume: | 41 | Issue: | 2 | First page: | 115 | Last page: | 128 | Issue Date: | 1-Aug-2005 | Rank: | M23 | ISSN: | 0023-5954 | URL: | https://www.kybernetika.cz/content/2005/2/115 | Abstract: | 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. |
Keywords: | Cut | Dedekind-MacNeille completion | Equivalent fuzzy sets | Poset valued fuzzy set | Publisher: | Centre of Administration and Operations for the Institute of Information Theory and Automation of The Czech Academy of Sciences |
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