DOI: 10.3390/math11244898 ISSN: 2227-7390
A Note on Extension of Fuzzy Metric Spaces
Dingwei Zheng, Qingming He- General Mathematics
- Engineering (miscellaneous)
- Computer Science (miscellaneous)
In this note, we prove that for two compatible fuzzy metrics MH and MK on H and K, respectively, there exists a fuzzy metric M on H⋃K such that M|H=MH and M|K=MK under the conditions that t-norm ∗ is positive and fuzzy metrics MH,MK are strong, or t-norm ∗ is positive and t-norm ∗, fuzzy metrics MH,MK satisfy the Lipschitz conditions.