A Representation Theorem for L-fuzzy Pseudo-metrics. Issue 1 (1st March 2023)

• Record Type: Journal Article
• Authors: Lin, Shuang; Guo, Mingxue; Zhong, Yu
• Is Part Of: Journal of physics. Volume 2449:Issue 1(2023)
• Publication Date: 2023-03-01
• Subjects: pseudo-metric -- L -fuzzy pseudo-metric -- Nests of pseudo-metrics; Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/2449/1/012010
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: Through this article, the definitions of an L -fuzzy pseudo-metric and a family of pseudo-metric that satisfies the property of lower-semicontinuity (or named nests of pseudo-metrics) are introduced. After that, we indicated that an L -fuzzy pseudo-metric can be constructed from nests of pseudo-metrics and nests of pseudo-metrics can be constructed from an L -fuzzy pseudo-metric. Therefore, we establish a each to each association between L - fuzzy pseudo-metrics and nests of pseudo-metrics.