Fuzzy sets and cut systems in a category of sets with similarity relations

DOI10.1007/s00500-011-0737-9zbMath1260.03096OpenAlexW1977212011MaRDI QIDQ1933767

Jiří Močkoř

Publication date: 25 January 2013

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-011-0737-9

zbMATH Keywords

fuzzy setcategory of setssimilarity relationcomplete residuated latticecategory of relationsclosed cut systemnaturally isomorphic functorssystem of \(\alpha\)-cuts

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Ordered semigroups and monoids (06F05) Categories of sets, characterizations (18B05) Categories of spans/cospans, relations, or partial maps (18B10)

Related Items (5)

Extension principles for closure operators on fuzzy sets and cuts ⋮ Isomorphisms and functors of fuzzy sets and cut systems ⋮ Completions of cut systems in \(Q\)-sets ⋮ Fuzzy objects in spaces with fuzzy partitions ⋮ α-Cuts and models of fuzzy logic

Cites Work

• Cut systems in sets with similarity relations
• Complete Subobjects of Fuzzy Sets Over MV-Algebras
• Extensional subobjects in categories of Ω-fuzzy sets
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