Fuzzifying pseudo-quasi-metric topologies on the fuzzy real line

Year 2024, Volume: 53 Issue: 2, 457 - 470, 23.04.2024

Fu-gui Shi

https://doi.org/10.15672/hujms.1209995

Abstract

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.

Keywords

fuzzy real line , fuzzifying topology , fuzzifying pseudo-quasi-metric , fuzzy pseudo-metric

Project Number

This project was supported by the National Natural Science Foundation of China (11871097).

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