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

IF 0.3 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2021-06-01 DOI:10.21638/11701/spbu10.2021.201

O. Baskov

引用次数: 0

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. 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.

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无限个2型模糊集的并并与满足

本文研究了无穷多个模糊数的最小值和最上值。证明了这些运算所具有的对实数有效的熟悉性质，仅在一定条件下才适用于模糊数。А给出了计算任意模糊数集的上限值的公式。由于二类模糊集的并集和满足是通过模糊数的极值和极值来定义的，所以所得到的结果同样适用于这些操作。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.30

自引率

50.00%

发文量

期刊介绍： The journal is the prime outlet for the findings of scientists from the Faculty of applied mathematics and control processes of St. Petersburg State University. It publishes original contributions in all areas of applied mathematics, computer science and control. Vestnik St. Petersburg University: Applied Mathematics. Computer Science. Control Processes features articles that cover the major areas of applied mathematics, computer science and control.