Affiliation:
1. School of Mathematics and Information Science, Guangxi University, Nanning 530004, China
Abstract
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.
Funder
National Natural Science Foundation of China
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
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