THE TRANSPORTATION DISTANCE FOR FUZZY DESCRIPTIONS OF MEASUREMENTS
Journal Title: Metrology and Measurement Systems - Year 2007, Vol 14, Issue 1
Abstract
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.
Authors and Affiliations
THOMAS ALLEVARD, ERIC BENOIT, LAURENT FOULOLY
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