重叠(分组)函数和一致函数迁移性的新结果

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-06-01 DOI:10.22111/IJFS.2021.6085

W. Li, F. Qin

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引用次数: 0

摘要

包含聚集函数的泛函方程在模糊集和模糊逻辑理论中占有重要地位。迁移方程作为一种受限的一般关联方程，在决策、信息聚合、图像处理等领域有着广泛的应用。在文献中，已有的关于重叠(分组)函数与一致子之间迁移方程的结果是基于一致子属于研究最多的一类的假设。在这项研究中，我们将在更一般的环境中探讨涉及制服的问题。具体地说，我们研究了当一致形具有连续的底层算子时，重叠(分组)函数与一致形之间的迁移性。我们将在本文中说明，从这个新观点来描述方程的许多新解。

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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New results on the migrativity properties for overlap (grouping) functions and uninorms

Functional equations involving aggregation functions play an important role in fuzzy sets and fuzzy logic theory. That the migrativity equation as a kind of restricted general associative equation have been proven to be useful in a wide range of fields like decision making, aggregation of information, image processing and so on. In the literature, the already existing results concerning the migrativity equation between overlap (grouping) functions and uninorms are based on the assumption that uninorms belong to one of the most studied classes. In this study we will explore it involving uninorms in a more general setting. To be specific, we investigate the migrativity properties between overlap (grouping) functions and uninorms in the case when uninorms have continuous underlying operators. We will show along the paper that many new solutions to the equation are characterized from this new point of view.

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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.