The cross-migrativity equation with respect to semi-t-operators

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-02-01 DOI:10.22111/IJFS.2021.5869

Y. Y. Zhao, F. Qin

引用次数: 1

Abstract

The cross-migrativity has been investigated for families of certain aggregation operators, such as t-norms, t-subnorms and uninorms. In this paper, we aim to study the cross-migrativity property for semi-t-operators, which are generalizations of t-operators by omitting commutativity. Specifically, we give all solutions of the cross-migrativity equation for all possible combinations of semi-t-operators. Moreover, it is shown that if a semi-t-operator F is alpha-cross-migrative over another semi-t-operator G, then G must be a semi-nullnorm except one case. Finally, it is pointed out that the cross-migrativity property between two semi-t-operators is always determined by their underlying operators except a few cases.

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关于半t算子的交叉迁移方程

本文研究了t-范数、t-次范数和均匀子等集合算子族的交叉迁移性。本文研究了半t算子的交叉迁移性质，半t算子是t算子的推广，省略了交换性。具体地说，我们给出了所有可能的半t算子组合的交叉迁移方程的所有解。此外，还证明了如果一个半t算子F在另一个半t算子G上是-交叉迁移的，那么除了一种情况外，G必须是半零范数。最后指出，除了少数情况外，两个半算子之间的交叉迁移性质总是由它们的底层算子决定的。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.