有界格子上的统一形的构造

IF 2.7 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems Pub Date : 2025-09-05 DOI:10.1016/j.fss.2025.109576

Yuting Luo , Bin Pang , Jen-Chih Yao

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引用次数: 0

摘要

有界格，也被称为弱关联格，为探索聚合函数提供了新的结构基础。本研究介绍了三种不同的方法来构造有界网格上的一致信息，每种方法都基于在网格的子区间内定义的t范数。通过几个例子，我们证明了所提出的结构与现有的结构有本质上的不同。在此基础上，进一步扩展了有界格子上聚合算子的框架，重点讨论了一致算子的理论发展。

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Constructions of uninorms on bounded trellises

Bounded trellises, also known as weakly associative lattices, offer a new structural basis for exploring aggregation functions. This study introduces three distinct approaches to construct uninorms on a bounded trellis, each based on a t-norm defined within a subinterval of the trellis. Through several examples, we demonstrate that the proposed constructions differ essentially from existing ones. On this foundation, the framework of aggregation operators on bounded trellises is further extended, with a focus on the theoretical development of uninorms.

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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.