Geodesic
Fuzzy distances
Kybernetika, Tome 41 (2005) no. 3, pp. 375-388

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MR Zbl
In the paper, three different ways of constructing distances between vaguely described objects are shown: a generalization of the classic distance between subsets of a metric space, distance between membership functions of fuzzy sets and a fuzzy metric introduced by generalizing a metric space to fuzzy-metric one. Fuzzy metric spaces defined by Zadeh’s extension principle, particularly to $\mathbb{R}^{n}$ are dealt with in detail.
In the paper, three different ways of constructing distances between vaguely described objects are shown: a generalization of the classic distance between subsets of a metric space, distance between membership functions of fuzzy sets and a fuzzy metric introduced by generalizing a metric space to fuzzy-metric one. Fuzzy metric spaces defined by Zadeh’s extension principle, particularly to $\mathbb{R}^{n}$ are dealt with in detail.
Classification : 03B52, 03E72, 11J99, 47H10, 54A40, 54E35, 54H25
Keywords: fuzzy metric; fuzzy distance; fuzzy metric space; fuzzy contraction 
Bednář, Josef. Fuzzy distances. Kybernetika, Tome 41 (2005) no. 3, pp. 375-388. http://geodesic.mathdoc.fr/item/KYB_2005_41_3_a7/
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