(2006-5941) On homogeneity of the smallest semicopula-based universal integral in the class of pseudo-continuous semicopulas

IF 1.2 4区数学 Q1 MATHEMATICS

Iranian Journal of Fuzzy Systems Pub Date : 2021-05-05 DOI:10.22111/IJFS.2021.6144

T. N. Luan, D. Hoang, T. M. Thuyet

引用次数: 1

Abstract

In this paper, we introduce the concept of pseudo-continuous semicopula. We show its relationship with continuity in the second variable and provide a characterization of all semicopulas S such that the smallest semicopula-based universal integral is S-homogeneous. This completely solves Open problem 2.29 proposed by J. Borzova-Molnarova et al. in the paper [2].

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(2006- 09)伪连续半群中基于最小半群的泛积分的齐性

本文引入了伪连续半聚的概念。我们在第二个变量中证明了它与连续性的关系，并给出了所有半群S的一个表征，使得最小的基于半群的普适积分是S齐次的。这完全解决了J. Borzova-Molnarova等人在[2]论文中提出的Open problem 2.29。

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

Iranian Journal of Fuzzy Systems 数学-数学

CiteScore

3.50

自引率

16.70%

发文量

期刊介绍： The two-monthly Iranian Journal of Fuzzy Systems (IJFS) aims to provide an international forum for refereed original research works in the theory and applications of fuzzy sets and systems in the areas of foundations, pure mathematics, artificial intelligence, control, robotics, data analysis, data mining, decision making, finance and management, information systems, operations research, pattern recognition and image processing, soft computing and uncertainty modeling. Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.