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The strongest t-norm for fuzzy metric spaces. (English) Zbl 1264.54020
Summary: In this paper, we prove that for a given positive continuous t-norm there is a fuzzy metric space in the sense of George and Veeramani, for which the given t-norm is the strongest one. For the opposite problem, we obtain that there is a fuzzy metric space for which there is no strongest t-norm. As an application of the main results, it is shown that there are infinite non-isometric fuzzy metrics on an infinite set.

MSC:
54A40 Fuzzy topology
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