模糊实线上伪度量拓扑的模糊化

IF 0.7 4区数学 Q2 MATHEMATICS

Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-06-04 DOI:10.15672/hujms.1209995

F. Shi̇

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引用次数: 0

摘要

本文给出了模糊实线上的三种自然模糊化拓扑。然后引入了模糊化伪拟度量的概念。证明了这三种模糊化拓扑可以分别由三个模糊化伪拟度量导出。我们对模糊化伪度量的定义与km -模糊度量的定义略有不同。模糊化伪度量可以看作是KM模糊度量的弱形式。

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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Fuzzifying pseudo-metric topologies on the fuzzy real line

In this paper, three natural fuzzifying topologies are presented on the fuzzy real line. Then the notion of fuzzifying pseudo-quasi-metrics is introduced. It is proved that the three fuzzifying topologies can be induced respectively by three fuzzifying pseudo-quasi-metrics. Our definition of fuzzifying pseudo-metric is slightly different from that of KM-fuzzy metric. A fuzzifying pseudo-metrics can be regarded as a weak form of a KM fuzzy metric.

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来源期刊

Hacettepe Journal of Mathematics and Statistics 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

100

审稿时长

6-12 weeks

期刊介绍： Hacettepe Journal of Mathematics and Statistics covers all aspects of Mathematics and Statistics. Papers on the interface between Mathematics and Statistics are particularly welcome, including applications to Physics, Actuarial Sciences, Finance and Economics. We strongly encourage submissions for Statistics Section including current and important real world examples across a wide range of disciplines. Papers have innovations of statistical methodology are highly welcome. Purely theoretical papers may be considered only if they include popular real world applications.