Structure of (weakly associative) micanorms

IF 3.1 3区计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Soft Computing Pub Date : 2024-08-12 DOI:10.1007/s00500-024-09915-5

Eunsuk Yang

引用次数: 0

Abstract

Yang introduced binary MICA (Monotonic Identity Commutative Aggregation) operations called micanorms and micanorms with three weak forms of associativity. This paper investigates general and specific structure of those micanorms. For this, we first recall (weakly associative) micanorms introduced by Yang. Next, we introduce a construction to characterize those micanorms in general. Finally, we consider similar constructions to specify them together with some examples to illustrate those constructions.

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弱关联）微形态的结构

杨振宁引入了二元 MICA（单调同一性换元聚合）运算，称为微矩阵和具有三种弱关联形式的微矩阵。本文研究了这些微矩阵的一般结构和特殊结构。为此，我们首先回顾杨振宁提出的（弱关联）微矩。接下来，我们引入一种构造来描述这些微矩阵的一般特征。最后，我们考虑用类似的构造来说明它们，并用一些例子来说明这些构造。

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

Soft Computing 工程技术-计算机：跨学科应用

CiteScore

8.10

自引率

9.80%

发文量

927

审稿时长

7.3 months

期刊介绍： Soft Computing is dedicated to system solutions based on soft computing techniques. It provides rapid dissemination of important results in soft computing technologies, a fusion of research in evolutionary algorithms and genetic programming, neural science and neural net systems, fuzzy set theory and fuzzy systems, and chaos theory and chaotic systems. Soft Computing encourages the integration of soft computing techniques and tools into both everyday and advanced applications. By linking the ideas and techniques of soft computing with other disciplines, the journal serves as a unifying platform that fosters comparisons, extensions, and new applications. As a result, the journal is an international forum for all scientists and engineers engaged in research and development in this fast growing field.