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On fuzzification of Tarski's fixed point theorem without transitivity

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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
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