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The transportation distance for fuzzy descriptions of measurements

Allevard T., Benoit E., Foulloy L.

Metrology and Measurement Systems

2007

Vol. 14, nr 1

25-37

Fuzzy nominal scales were introduced in order to propose a formalism to the representation of empirical quantities by fuzzy subsets of words. This scale proposes a similarity relation and an associated bounded distance that can be used to perform signal processing on fuzzy subsets of words. Due to the limits of this last distance, we studied distances associated to this formalism and proposed a new distance operator named transportation distance. This paper presents the results of these studies.