Topological structures induced by L-fuzzifying approximation operators

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

引用次数: 1

Abstract

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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l -模糊化近似算子诱导的拓扑结构

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。

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

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

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