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Union and meet of an infinite number of type-2 fuzzy sets. / Басков, Олег Владимирович.

In: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, Vol. 17, No. 2, 2021, p. 108-119.

Research output: Contribution to journal › Article › peer-review

Harvard

Басков, ОВ 2021, 'Union and meet of an infinite number of type-2 fuzzy sets', Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, vol. 17, no. 2, pp. 108-119. https://doi.org/10.21638/11701/SPBU10.2021.201

APA

Басков, О. В. (2021). Union and meet of an infinite number of type-2 fuzzy sets. Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, 17(2), 108-119. https://doi.org/10.21638/11701/SPBU10.2021.201

Vancouver

Басков ОВ. Union and meet of an infinite number of type-2 fuzzy sets. Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya. 2021;17(2):108-119. https://doi.org/10.21638/11701/SPBU10.2021.201

Author

Басков, Олег Владимирович. / Union and meet of an infinite number of type-2 fuzzy sets. In: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya. 2021 ; Vol. 17, No. 2. pp. 108-119.

BibTeX

@article{dc3d476f2c6b45839412166f6fb00c23,
title = "Union and meet of an infinite number of type-2 fuzzy sets",
abstract = "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. A 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.",
keywords = "Fuzzy numbers, Infimum, Meet, Supremum, Type-2 fuzzy sets, Union",
author = "Басков, {Олег Владимирович}",
year = "2021",
doi = "10.21638/11701/SPBU10.2021.201",
language = "English",
volume = "17",
pages = "108--119",
journal = " ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ",
issn = "1811-9905",
publisher = "Издательство Санкт-Петербургского университета",
number = "2",

}

RIS

TY - JOUR

T1 - Union and meet of an infinite number of type-2 fuzzy sets

AU - Басков, Олег Владимирович

PY - 2021

Y1 - 2021

N2 - 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. A 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.

AB - 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. A 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.

KW - Fuzzy numbers

KW - Infimum

KW - Meet

KW - Supremum

KW - Type-2 fuzzy sets

KW - Union

UR - http://www.scopus.com/inward/record.url?scp=85111971116&partnerID=8YFLogxK

U2 - 10.21638/11701/SPBU10.2021.201

DO - 10.21638/11701/SPBU10.2021.201

M3 - Article

VL - 17

SP - 108

EP - 119

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

SN - 1811-9905

IS - 2

ER -

ID: 85635973