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The f -index of inclusion as optimal adjoint pair for fuzzy modus ponens
| dc.contributor.author | Madrid-Labrador, Nicolás Miguel | |
| dc.contributor.author | Ojeda-Aciego, Manuel | |
| dc.date.accessioned | 2023-04-21T11:13:49Z | |
| dc.date.available | 2023-04-21T11:13:49Z | |
| dc.date.issued | 2023 | |
| dc.identifier.citation | N. Madrid and M. Ojeda-Aciego, The f-index of inclusion as optimal adjoint pair for fuzzy modus ponens, Fuzzy Sets and Systems, https://doi.org/10.1016/j.fss.2023.01.009 | es_ES |
| dc.identifier.uri | https://hdl.handle.net/10630/26351 | |
| dc.description.abstract | We continue studying the properties of the f -index of inclusion and show that, given a fixed pair of fuzzy sets, their f -index of inclusion can be linked to a fuzzy conjunction which is part of an adjoint pair. We also show that, when this pair is used as the underlying structure to provide a fuzzy interpretation of the modus ponens inference rule, it provides the maximum possible truth-value in the conclusion among all those values obtained by fuzzy modus ponens using any other possible adjoint pair. | es_ES |
| dc.description.sponsorship | Partially supported by the Spanish Ministry of Science, Innovation and Universities (MCIU), State Agency of Research (AEI), Junta de Andalucía (JA), Universidad de Málaga (UMA) and European Regional Development Fund (FEDER) through the projects PGC2018-095869-B-I00 (MCIU/AEI/FEDER) and UMA2018-FEDERJA-001 (JA/UMA/FEDER). 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/4.0/ | * |
| dc.subject | Conjuntos difusos | es_ES |
| dc.subject | Galois, Teoría de | es_ES |
| dc.subject.other | Fuzzy logic | es_ES |
| dc.subject.other | f -index of inclusion | es_ES |
| dc.subject.other | Fuzzy inclusion | es_ES |
| dc.subject.other | Inclusion measures | es_ES |
| dc.subject.other | Residuated lattice | es_ES |
| dc.subject.other | Galois connection | es_ES |
| dc.title | The f -index of inclusion as optimal adjoint pair for fuzzy modus ponens | 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.fss.2023.01.009 | |
| dc.rights.cc | Atribución 4.0 Internacional | * |
| dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | es_ES |
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