Several fuzzifying topologies on the fuzzy real line

Document Type : Research Paper

Authors

1 School of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou, China

2 School of Mathematical Science, Mudanjiang Normal University, Mudanjiang, Heilongjiang, China

10.22111/ijfs.2026.9973

Abstract

In [13], three natural fuzzifying topologies are presented on the fuzzy real line. It is proved that the three fuzzifying
topologies can be induced respectively by three fuzzifying pseudo-quasi-metrics. In this paper, we present several novel
fuzzifying topologies on the fuzzy real line, and discass their relations.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 23, Issue 4
July and August 2026
Pages 21-34

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