A Note on Extension of Fuzzy Metric Spaces.

In this note, we prove that for two compatible fuzzy metrics M H and M K on H and K, respectively, there exists a fuzzy metric M on H ⋃ K such that M | H = M H and M | K = M K under the conditions that t-norm ∗ is positive and fuzzy metrics M H , M K are strong, or t-norm ∗ is positive and t-norm ∗, fuzzy metrics M H , M K satisfy the Lipschitz conditions. [ABSTRACT FROM AUTHOR]