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

Authors : Fu-gui Shi

Pages : 457-470

Doi:10.15672/hujms.1209995

View : 135 | Download : 175

Publication Date : 2024-04-23

Article Type : Research Paper

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 : The fuzzy real line, fuzzifying topology, fuzzifying pseudo quasi metric, fuzzy pseudo metric