Geodesic
The strongest t-norm for fuzzy metric spaces
Kybernetika, Tome 49 (2013) no. 1, pp. 141-148 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 62A10, 93E12
Keywords: fuzzy metric space; t-norm; isometry; analysis 
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     author = {Qiu, Dong and Zhang, Weiquan},
     title = {The strongest t-norm for fuzzy metric spaces},
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     pages = {141--148},
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     volume = {49},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2013_49_1_a9/}
}
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Qiu, Dong; Zhang, Weiquan. The strongest t-norm for fuzzy metric spaces. Kybernetika, Tome 49 (2013) no. 1, pp. 141-148. http://geodesic.mathdoc.fr/item/KYB_2013_49_1_a9/