Geodesic
Union and meet of an infinite number of type-2 fuzzy sets
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 17 (2021) no. 2, pp. 108-119 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, meet, fuzzy numbers, supremum.
Mots-clés : union, infimum 
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O. V. Baskov. Union and meet of an infinite number of type-2 fuzzy sets. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 17 (2021) no. 2, pp. 108-119. http://geodesic.mathdoc.fr/item/VSPUI_2021_17_2_a0/

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