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dc.title | On fuzzification of Tarski's fixed point theorem without transitivity | en |
dc.contributor.author | Včelař, František | |
dc.contributor.author | Pátíková, Zuzana | |
dc.relation.ispartof | Fuzzy Sets and Systems | |
dc.identifier.issn | 0165-0114 Scopus Sources, Sherpa/RoMEO, JCR | |
dc.date.issued | 2017 | |
utb.relation.volume | 320 | |
dc.citation.spage | 93 | |
dc.citation.epage | 113 | |
dc.type | review | |
dc.language.iso | en | |
dc.publisher | Elsevier | |
dc.identifier.doi | 10.1016/j.fss.2016.06.016 | |
dc.relation.uri | https://www.sciencedirect.com/science/article/pii/S0165011416302111 | |
dc.subject | Fuzzy relation | en |
dc.subject | Fixed point | en |
dc.subject | Residuated lattice | en |
dc.subject | L-ordered set | en |
dc.subject | L-fuzzy monotone map | en |
dc.subject | Transitivity | en |
dc.description.abstract | The aim of this paper is to present a fuzzification of Tarski's fixed point theorem without the assumption of transitivity. For this purpose a new structure – the so called L-complete propelattice, which generalizes complete lattices and completely lattice L-ordered sets, is introduced. Our results show that for L-fuzzy isotone maps on L-complete propelattices a variant of Tarski's fixed point theorem holds. Especially, the set of fixed points is nonempty and of a certain structure. © 2016 Elsevier B.V. | en |
utb.faculty | Faculty of Applied Informatics | |
dc.identifier.uri | http://hdl.handle.net/10563/1007346 | |
utb.identifier.obdid | 43876853 | |
utb.identifier.scopus | 2-s2.0-84977177759 | |
utb.identifier.wok | 000402481900007 | |
utb.identifier.coden | FSSYD | |
utb.source | j-scopus | |
dc.date.accessioned | 2017-09-08T12:14:43Z | |
dc.date.available | 2017-09-08T12:14:43Z | |
utb.contributor.internalauthor | Včelař, František | |
utb.contributor.internalauthor | Pátíková, Zuzana | |
utb.fulltext.affiliation | František Včelař ∗, Zuzana Pátíková Department of Mathematics, Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi 4511, Zlín, 76005, Czech Republic * Corresponding author. E-mail addresses: vcelar@fai.utb.cz (F. Včelař), patikova@fai.utb.cz (Z. Pátíková). | |
utb.fulltext.dates | Received 25 June 2015 received in revised form 5 June 2016 accepted 23 June 2016 Available online 29 June 2016 | |
utb.fulltext.faculty | Faculty of Applied Informatics | |
utb.fulltext.faculty | Faculty of Applied Informatics | |
utb.fulltext.ou | Department of Mathematics | |
utb.fulltext.ou | Department of Mathematics |