Kybernetika 41 no. 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.