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Kybernetika 41(3):375-388, 2005.

Fuzzy Distances

Josef Bednář


Abstract:

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 $\RR^{n}$ are dealt with in detail.


Keywords: fuzzy metric; fuzzy distance; fuzzy metric space; fuzzy contraction;


AMS: 03E72; 03B52; 11J99;


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BIB TeX

@article{kyb:2005:3:375-388,

author = {Bedn\'{a}\v{r}, Josef },

title = {Fuzzy Distances},

journal = {Kybernetika},

volume = {41},

year = {2005},

number = {3},

pages = {375-388}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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