l -模糊化近似算子诱导的拓扑结构

IF 1.9 4区数学 Q1 MATHEMATICS

Iranian Journal of Fuzzy Systems 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

Iranian Journal of Fuzzy Systems 数学-数学

CiteScore

3.50

自引率

16.70%

发文量

期刊介绍： The two-monthly Iranian Journal of Fuzzy Systems (IJFS) aims to provide an international forum for refereed original research works in the theory and applications of fuzzy sets and systems in the areas of foundations, pure mathematics, artificial intelligence, control, robotics, data analysis, data mining, decision making, finance and management, information systems, operations research, pattern recognition and image processing, soft computing and uncertainty modeling. Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.