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Fuzzy closure systems: Motivation, definition and properties
dc.contributor.author | Ojeda Hernández, Manuel | |
dc.date.accessioned | 2022-07-11T07:18:57Z | |
dc.date.available | 2022-07-11T07:18:57Z | |
dc.date.issued | 2022-09 | |
dc.identifier.citation | Manuel Ojeda-Hernández, Inma P. Cabrera, Pablo Cordero, Emilio Muñoz-Velasco, Fuzzy closure systems: Motivation, definition and properties, International Journal of Approximate Reasoning, Volume 148, 2022, Pages 151-161, ISSN 0888-613X, Manuel Ojeda-Hernández, Inma P. Cabrera, Pablo Cordero, Emilio Muñoz-Velasco, Fuzzy closure systems: Motivation, definition and properties, International Journal of Approximate Reasoning, Volume 148, 2022, Pages 151-161, ISSN 0888-613X, https://doi.org/10.1016/j.ijar.2022.06.004 | es_ES |
dc.identifier.uri | https://hdl.handle.net/10630/24614 | |
dc.description.abstract | The aim of this paper is to extend closure systems from being crisp sets with certain fuzzy properties to proper fuzzy sets. The presentation of the paper shows a thorough discussion on the different alternatives that could be taken to define the desired fuzzy closure systems. These plausible alternatives are discarded if they are proven impossible to be in a bijective correspondence with closure operators. Finally, a definition of fuzzy closure system is established and a one-to-one relation with closure operators is proved. | es_ES |
dc.description.sponsorship | The aim of this paper is to extend closure systems from being crisp sets with certain fuzzy properties to proper fuzzy sets. The presentation of the paper shows a thorough discussion on the different alternatives that could be taken to define the desired fuzzy closure systems. These plausible alternatives are discarded if they are proven impossible to be in a bijective correspondence with closure operators. Finally, a definition of fuzzy closure system is established and a one-to-one relation with closure operators is proved. Funding for open access charge: Universidad de Málaga / CBUA | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Elsevier | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Lógica difusa | es_ES |
dc.subject.other | Fuzzy set | es_ES |
dc.subject.other | Closure system | es_ES |
dc.subject.other | Complete lattice | es_ES |
dc.subject.other | Fuzzy logic | es_ES |
dc.subject.other | Extensional | es_ES |
dc.title | Fuzzy closure systems: Motivation, definition and properties | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.centro | E.T.S.I. Informática | es_ES |
dc.identifier.doi | https://doi.org/10.1016/j.ijar.2022.06.004 | |
dc.rights.cc | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | es_ES |