论进口法律与优惠暗示经营者

IF 3.2 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems Pub Date : 2025-04-24 DOI:10.1016/j.fss.2025.109428

József Dombi , Tamás Jónás , Michał Baczyński

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引用次数: 0

摘要

在这篇简短的文章中，我们利用聚合函数给出了输入律成立的充分必要条件。我们的结果涉及进口法中的模糊蕴涵算子为偏好蕴涵算子的情况。由此，我们证明了当且仅当二元聚合函数是一个称为聚合算子的可表示一致函数时，具有偏好蕴涵的二元聚合函数输入律成立。

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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On the law of importation and the preference implication operator

In this short communication, we provide a necessary and sufficient condition for the law of importation using aggregation functions. Our result involves the case where the fuzzy implication operator in the law of importation is the preference implication operator. With this, we show that the law of importation with a binary aggregation function and with a preference implication holds if and only if the binary aggregation function is a representable uninorm called the aggregative operator.

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来源期刊

Fuzzy Sets and Systems 数学-计算机：理论方法

CiteScore

6.50

自引率

17.90%

发文量

321

审稿时长

6.1 months

期刊介绍： Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies. In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.