重叠(分组)函数和一致函数迁移性的新结果

IF 1.9 4区数学 Q1 MATHEMATICS

Iranian Journal of Fuzzy Systems 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。

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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

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 Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.