基于残差网格中的核与颠倒的拓扑学

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

Soft Computing Pub Date : 2024-07-29 DOI:10.1007/s00500-024-09927-1

Supeng Wu, Hui Liu, Jiang Yang

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引用次数: 0

摘要

首先，通过残差网格中的核和颠倒构建了一种拓扑结构，并证明了具有这种拓扑结构的残差网格成为一个拓扑空间。此外，我们还研究了拓扑空间的一些性质，如紧凑性和连通性。此外，我们还研究了残差网格中与拓扑相关的所有运算的连续性。最后，我们揭示了商残差网格上两种拓扑之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

A topology based on nuclei and upsets in residuated lattices

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A topology based on nuclei and upsets in residuated lattices

Firstly, a topology is constructed by nuclei and upsets in residuated lattices and it is shown that a residuated lattice endowed with this topology becomes a topological space. Furthermore, some properties of the topological space are investigated such as compactness and connectedness. Moreover, we study continuities of all the operations with respect to the topology in a residuated lattice. Finally, the relationships are revealed between the two topologies on quotient residuated lattices.

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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.