Fuzzifying pseudo-metric topologies on the fuzzy real line
Affiliation:
1. Beijing Institute of Technology
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.
Publisher
Hacettepe University
Subject
Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis
Reference1 articles.
1. [1] K. Bekar, Metric on L-fuzzy real line, International J. Math. Combin. 3, 48–60, 2022.