title: Union and meet of an infinite number of type-2 fuzzy sets
metadata.name: dc.contributor.author
metadata.value: Baskov, Oleg V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-07-13T10:07:25Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-07-13T10:07:25Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Baskov О. V. Union and meet of an infinite number of type-2 fuzzy sets. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 2, pp. 108-119.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https //doi.org/10.21638/11701/spbu10.2021.201
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/29862
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article examines the infimum and supremum of an infinite number of fuzzy numbers. It is shown that familiar properties of these operations, which are valid for real numbers, may apply to fuzzy numbers only under certain conditions. А formula for computing the infimum and supremum of any set of fuzzy numbers is provided. Since the union and meet of type-2 fuzzy sets are defined via the infimum and supremum of fuzzy numbers, all the results obtained are applicable to these operations as well.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work is supported by Russian Foundation for Basic Research (project N 20-07-00298-a).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 17; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: type-2 fuzzy sets
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: union
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: meet
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: fuzzy numbers
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: infimum
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: supremum
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Union and meet of an infinite number of type-2 fuzzy sets
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 108-119.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/29862/1/108-119.pdf
resources.format: Adobe PDF
resources.size: 407,32 kB