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.
This project was supported by the National Natural Science Foundation of China (11871097).
This project was supported by the National Natural Science Foundation of China (11871097).
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Mathematics |
Authors | |
Project Number | This project was supported by the National Natural Science Foundation of China (11871097). |
Early Pub Date | August 15, 2023 |
Publication Date | April 23, 2024 |
Published in Issue | Year 2024 Volume: 53 Issue: 2 |