Completely lattice L-ordered sets with and without L-equality

Martinek, Pavel

dc.title	Completely lattice L-ordered sets with and without L-equality	en
dc.contributor.author	Martinek, Pavel
dc.relation.ispartof	Fuzzy Sets and Systems
dc.identifier.issn	0165-0114 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued	2011-03-16
utb.relation.volume	166
utb.relation.issue	1
dc.citation.spage	44
dc.citation.epage	55
dc.type	article
dc.language.iso	en
dc.publisher	Elsevier Science B.V.	en
dc.identifier.doi	10.1016/j.fss.2010.11.003
dc.relation.uri	https://www.sciencedirect.com/science/article/pii/S0165011410004549
dc.subject	Fuzzy equality	en
dc.subject	Fuzzy order	en
dc.subject	L-ordered set	en
dc.subject	Completely lattice L-ordered set	en
dc.subject	Down-L-set	en
dc.subject	Fuzzy concept lattice	en
dc.subject	Dedekind-MacNeille completion	en
dc.description.abstract	A relationship between L-order based on an L-equality and L-order based on crisp equality is explored in detail. This enables to clarify some properties of completely lattice L-ordered sets and generalize some related assertions. Namely, Belohlavek's main theorem of fuzzy concept lattices is generalized as well as his theorem dealing with Dedekind-MacNeille completion. Analogously, completion of an L-ordered set via completely lattice L-ordered set of all down-L-sets is described. (C) 2010 Elsevier B.V. All rights reserved.	en
utb.faculty	Faculty of Applied Informatics
dc.identifier.uri	http://hdl.handle.net/10563/1002168
utb.identifier.rivid	RIV/70883521:28140/11:00001030!RIV12-MSM-28140___
utb.identifier.obdid	43865171
utb.identifier.scopus	2-s2.0-78751645865
utb.identifier.wok	000287544500002
utb.identifier.coden	FSSYD
utb.source	j-wok
dc.date.accessioned	2011-08-16T15:06:36Z
dc.date.available	2011-08-16T15:06:36Z
utb.contributor.internalauthor	Martinek, Pavel