Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2021, Volume 17, Issue 2, Pages 108–119
DOI: https://doi.org/10.21638/11701/spbu10.2021.201 (Mi vspui482) 		 
Applied mathematics

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

O. V. Baskov

St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
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DOI: https://doi.org/10.21638/11701/spbu10.2021.201
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: type-2 fuzzy sets, union, meet, fuzzy numbers, infimum, supremum.
Funding agency Grant number
Russian Foundation for Basic Research 20-07-00298_a
The work is supported by Russian Foundation for Basic Research (project N 20-07-00298-a).
Received: December 2, 2020
Accepted: April 5, 2021
Document Type: Article
UDC: 004.8
MSC: 03E72
Language: English
Citation: O. V. Baskov, “Union and meet of an infinite number of type-2 fuzzy sets”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 17:2 (2021), 108–119
Citation in format AMSBIB
\Bibitem{Bas21}
\by O.~V.~Baskov
\paper Union and meet of an infinite number of type-2 fuzzy sets
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2021
\vol 17
\issue 2
\pages 108--119
\mathnet{http://mi.mathnet.ru/vspui482}
\crossref{https://doi.org/10.21638/11701/spbu10.2021.201}
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    		Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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