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.
fuzzy real line fuzzifying topology fuzzifying pseudo-quasi-metric fuzzy pseudo-metric
This project was supported by the National Natural Science Foundation of China (11871097).
The fuzzy real line fuzzifying topology fuzzifying pseudo-quasi-metric fuzzy pseudo-metric
This project was supported by the National Natural Science Foundation of China (11871097).
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Proje Numarası | This project was supported by the National Natural Science Foundation of China (11871097). |
Erken Görünüm Tarihi | 15 Ağustos 2023 |
Yayımlanma Tarihi | 23 Nisan 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 53 Sayı: 2 |