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A few remarks on efficiency of embedding of a classical mathematical problem into fuzzy logical environment
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| dc.title | A few remarks on efficiency of embedding of a classical mathematical problem into fuzzy logical environment | en |
| dc.contributor.author | Včelař, František | |
| dc.contributor.author | Pátíková, Zuzana | |
| dc.relation.ispartof | AIP Conference Proceedings | |
| dc.identifier.issn | 0094-243X Scopus Sources, Sherpa/RoMEO, JCR | |
| dc.identifier.isbn | 978-0-7354-1538-6 | |
| dc.date.issued | 2017 | |
| utb.relation.volume | 1863 | |
| dc.event.title | International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 | |
| dc.event.location | Rhodes | |
| utb.event.state-en | Greece | |
| utb.event.state-cs | Řecko | |
| dc.event.sdate | 2016-09-19 | |
| dc.event.edate | 2016-09-25 | |
| dc.type | conferenceObject | |
| dc.language.iso | en | |
| dc.publisher | American Institute of Physics (AIP) | |
| dc.identifier.doi | 10.1063/1.4992257 | |
| dc.relation.uri | http://aip.scitation.org/doi/abs/10.1063/1.4992257 | |
| dc.description.abstract | For the case of classical Tarski's theorem on fixed points of isotone maps we show that embedding of this statement into fuzzy logical environment leads to surprising results, which cannot be easily seen and awaited in classical logical environment. © 2017 Author(s). | en |
| utb.faculty | Faculty of Applied Informatics | |
| dc.identifier.uri | http://hdl.handle.net/10563/1007295 | |
| utb.identifier.rivid | RIV/70883521:28140/17:63516849!RIV18-MSM-28140___ | |
| utb.identifier.obdid | 43876854 | |
| utb.identifier.scopus | 2-s2.0-85026668136 | |
| utb.identifier.wok | 000410159800107 | |
| utb.source | d-scopus | |
| dc.date.accessioned | 2017-09-03T21:40:09Z | |
| dc.date.available | 2017-09-03T21:40:09Z | |
| utb.contributor.internalauthor | Včelař, František | |
| utb.contributor.internalauthor | Pátíková, Zuzana | |
| utb.fulltext.affiliation | František Včelař 1 and Zuzana Pátíková 1,a) 1 Department of Mathematics, Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi 4511, Zlín, 76005, Czech Republic. a) [email protected] | |
| utb.fulltext.dates | - | |
| utb.fulltext.references | [1] R. Bělohlávek, Fuzzy Relational Systems: Foundations and Principles, Kluwer, New York, 2002. [2] R. Bělohlávek, ‘Lattice-type fuzzy order is uniquely given by its 1-cut: proof and consequences’, Fuzzy Sets and Systems 123 (2004), 447–458. [3] L. Fan, ‘A new approach to quantitative domain theory’, Electronic Notes in Theoretical Computer Science 45 (2001), 77–87. [4] P. Hájek, Metamatemathics of Fuzzy Logic, Kluwer Academic Publishers, Boston-Dordrecht-London, 1998. [5] P. Martinek, ‘Completely lattice L-ordered sets with and without L-equality’, Fuzzy Sets and Systems 166 (2011), 44–55. [6] V. Novák, Fuzzy Sets and Their Applications, Adam-Hilger, Bristol, 1989. [7] V. Novák, I. Porfilieva, J. Močkoř, Mathematical Principles of Fuzzy Logic, Kluwer Academic Publishers, Boston-Dordrecht-London, 1999. [8] A. Tarski, ‘A lattice-theoretical fixpoint theorem and its applications’, Pacific Journal of Mathematics 5 (1955), 285–309. [9] F. Včelař, Z. Pátíková, ‘On fuzzification of Tarskis fixed point theorem without transitivity’ (to be published in Fuzzy Sets and Systems). | |
| utb.fulltext.sponsorship | - | |
| utb.scopus.affiliation | Department of Mathematics, Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi 4511, Zlín, Czech Republic | |
| utb.fulltext.projects | - |
