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Fuzzy sets on uniform spaces
dc.contributor.author | Jardón, Daniel | |
dc.contributor.author | Sánchez, Iván | |
dc.contributor.author | Sanchis, Manuel | |
dc.date.accessioned | 2024-02-07T12:56:14Z | |
dc.date.available | 2024-02-07T12:56:14Z | |
dc.date.issued | 2023-12-15 | |
dc.identifier.citation | Jardón, D., Sánchez, I., Sanchis, M. (2023). 'Fuzzy sets on uniform spaces', Iranian Journal of Fuzzy Systems, 20(6), pp. 123-135. doi: 10.22111/ijfs.2023.43774.7700 | ca_CA |
dc.identifier.issn | 1735-0654 | |
dc.identifier.uri | http://hdl.handle.net/10234/205738 | |
dc.description | Given a uniform space (X, U), we introduce, from the uniformity U, some uniformities on the set F(X) of all normal, upper semicontinuous with compact support fuzzy sets on X: the Skorokhod uniformity, the level-wise uniformity, the endograph uniformity and the sendograph uniformity. For metric spaces we prove that these uniformities coincide with the uniformities induced by the Skorokhod metric (the level-wise metric, the endograph metric and the sendograph metric, respectively). We study completeness of this class of uniform spaces. | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | University of Sistan and Baluchestan | ca_CA |
dc.relation.isPartOf | Iranian Journal of Fuzzy Systems, 20(6) | ca_CA |
dc.rights | Copyright Iranian Journal of Fuzzy Systems | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | ca_CA |
dc.subject | Fuzzy set | ca_CA |
dc.subject | uniform (metric) space | ca_CA |
dc.subject | hyperspace | ca_CA |
dc.subject | Vietoris topology | ca_CA |
dc.subject | Skorokhod metric | ca_CA |
dc.subject | level-wise metric | ca_CA |
dc.subject | endograph metric | ca_CA |
dc.subject | sendograph metric | ca_CA |
dc.subject | completeness | ca_CA |
dc.title | Fuzzy sets on uniform spaces | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | 10.22111/IJFS.2023.43774.7700 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | https://ijfs.usb.ac.ir/article_7934.html | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion | ca_CA |
project.funder.name | Conacyt | ca_CA |
oaire.awardNumber | Ciencia de Frontera 64356 | ca_CA |
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