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Uniform Hausdorff fuzzy metric on fuzzy sets

Baoqun Xie|Conghua Yan
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2021.04|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제21권 제2호|pp. 113-123|DOI 10.30948/afmi.2021.21.2.113

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참고문헌

키워드

Uniform Hausdorff fuzzy metricFuzzy metric spacesZadeh's extensionFuzzy mapping

초록

In this paper, the uniform Hausdorff fuzzy metric is constructed in the sense of fuzzy metric spaces. Several topological properties as precompactness, completeness and compactness are investigated. Given a fuzzy metric space, we prove that a self mapping is continuous if and only if its Zadeh's extension is continuous which generated the result of Jardón (2020) [15] and establish a new fixed point theorem for fuzzy mapping

Abstract

In this paper, the uniform Hausdorff fuzzy metric is constructed in the sense of fuzzy metric spaces. Several topological properties as precompactness, completeness and compactness are investigated. Given a fuzzy metric space, we prove that a self mapping is continuous if and only if its Zadeh's extension is continuous which generated the result of Jardón (2020) [15] and establish a new fixed point theorem for fuzzy mapping.

참고문헌 (24)

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