# Article

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