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Fuzzy sets on uniform spaces

dc.contributor.authorJardón, Daniel
dc.contributor.authorSánchez, Iván
dc.contributor.authorSanchis, Manuel
dc.date.accessioned2024-02-07T12:56:14Z
dc.date.available2024-02-07T12:56:14Z
dc.date.issued2023-12-15
dc.identifier.citationJardón, 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.2023.43774.7700ca_CA
dc.identifier.issn1735-0654
dc.identifier.urihttp://hdl.handle.net/10234/205738
dc.descriptionGiven 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.isoengca_CA
dc.publisherUniversity of Sistan and Baluchestanca_CA
dc.relation.isPartOfIranian Journal of Fuzzy Systems, 20(6)ca_CA
dc.rightsCopyright Iranian Journal of Fuzzy Systemsca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/ca_CA
dc.subjectFuzzy setca_CA
dc.subjectuniform (metric) spaceca_CA
dc.subjecthyperspaceca_CA
dc.subjectVietoris topologyca_CA
dc.subjectSkorokhod metricca_CA
dc.subjectlevel-wise metricca_CA
dc.subjectendograph metricca_CA
dc.subjectsendograph metricca_CA
dc.subjectcompletenessca_CA
dc.titleFuzzy sets on uniform spacesca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doi10.22111/IJFS.2023.43774.7700
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttps://ijfs.usb.ac.ir/article_7934.htmlca_CA
dc.type.versioninfo:eu-repo/semantics/publishedVersionca_CA
project.funder.nameConacytca_CA
oaire.awardNumberCiencia de Frontera 64356ca_CA


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