l -模糊化近似算子诱导的拓扑结构

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-10-01 DOI:10.22111/IJFS.2021.6261

Chun Yong Wang, Lijuan Wan, B. Zhang

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引用次数: 1

摘要

本文进一步研究了由L-模糊化近似算子引起的拓扑结构，其中L表示完全分布De Morgan代数。首先，利用l -模糊化近似算子研究了由l -模糊关系引起的Alexandrov拓扑。特别讨论了这些亚历山德罗夫拓扑之间的关系。其次，基于上下l -模糊化近似算子诱导的Alexandrov拓扑，提出了l -模糊关系的伪相似集。同时，讨论了伪相似集的性质，并举例说明了模糊关系的相似集与l -模糊关系的伪相似集的区别。

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Topological structures induced by L-fuzzifying approximation operators

This paper further studies topological structures induced by L-fuzzifying approximation operators, where L denotes a completely distributive De Morgan algebra. Firstly, the Alexandrov topologies induced by L-fuzzy relations are investigated with respect to L-fuzzifying approximation operators. Especially, the relationships among those Alexandrov topologies are discussed. Secondly, pseudo-similarity sets of L-fuzzy relations are proposed based on the Alexandrov topologies induced by upper and lower L-fuzzifying approximation operators. Meanwhile, the properties of pseudo-similarity sets are discussed, where some examples are presented to show the differences between similarity set of fuzzy relations and pseudo-similarity set of L-fuzzy relations.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.