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On the relationship between fuzzy subgroups and indistinguishability operators
| dc.contributor.author | Boixader Ibáñez, Dionís |
| dc.contributor.author | Recasens Ferrés, Jorge |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Tecnologia de l'Arquitectura |
| dc.date.accessioned | 2019-05-14T10:42:09Z |
| dc.date.available | 2020-09-06T00:31:18Z |
| dc.date.issued | 2018-09-06 |
| dc.identifier.citation | Boixader, D.; Recasens, J. On the relationship between fuzzy subgroups and indistinguishability operators. "Fuzzy sets and systems", 6 Setembre 2018. |
| dc.identifier.issn | 0165-0114 |
| dc.identifier.uri | http://hdl.handle.net/2117/132959 |
| dc.description.abstract | Fuzzy subgroups are revisited considering their close relationship with indistinguishability operators (fuzzy equivalences) invariant under translations. Different ways to obtain new fuzzy subgroups from a given one are provided and different ways to characterize normal fuzzy subgroups are obtained. The idea of double coset of two (crisp) subgroups allow us to relate them via their equivalence classes. This is generalized to the fuzzy framework. The conditions in which a fuzzy relation R on a group G can be considered a fuzzy subgroup of G × G are obtained. |
| dc.language.iso | eng |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica |
| dc.subject.lcsh | Fuzzy logic |
| dc.subject.other | Fuzzy subgroup |
| dc.subject.other | Normal fuzzy subgroup |
| dc.subject.other | T-indistinguishability operator |
| dc.subject.other | Invariance under translations |
| dc.subject.other | Double coset |
| dc.title | On the relationship between fuzzy subgroups and indistinguishability operators |
| dc.type | Article |
| dc.subject.lemac | Lògica difusa |
| dc.identifier.doi | 10.1016/j.fss.2018.09.002 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0165011418306250 |
| dc.rights.access | Open Access |
| local.identifier.drac | 23369277 |
| dc.description.version | Postprint (author's final draft) |
| local.citation.author | Boixader, D.; Recasens, J. |
| local.citation.publicationName | Fuzzy sets and systems |
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