模糊k-伪度量的新定义及其引申的模糊化结构

IF 1.9 4区数学 Q1 MATHEMATICS Iranian Journal of Fuzzy Systems Pub Date : 2021-12-01 DOI:10.22111/IJFS.2021.6333

Yu Zhong, A. Sostak

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引用次数: 4

摘要

本文引入了模糊k -伪度量的新定义，构造了模糊化邻域系统、模糊化拓扑、模糊化闭包算子、模糊化均匀性等相关模糊化结构。此外，还证明了模糊k -伪度量与清晰k -伪度量巢之间存在一一对应关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A new definition of fuzzy k-pseudo metric and its induced fuzzifying structures

In this paper, a new definition of a fuzzy $k$-pseudo metric is introduced and its induced fuzzifying structures are constructed, such as a fuzzifying neighborhood system, a fuzzifying topology, a fuzzifying closure operator, a fuzzifying uniformity.Besides, it is shown that there is a one-to-one correspondence between fuzzy $k$-pseudo metrics and nests of crisp $k$-pseudo metrics.

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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 Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.