We consider the family of multi-argument functions called multidistances, which capture the idea of distance for collections of more than two points in a metric space. Usually multidistances are defined among crisp objects. In this note we propose a multidistance defined among fuzzy numbers which satisfies the following conditions: it must take into account all distances between all pairs of fuzzy data, must be regular and easy to compute.
A note on regular multi-distances between fuzzy numbers
Molinari, Franco
2013-01-01
Abstract
We consider the family of multi-argument functions called multidistances, which capture the idea of distance for collections of more than two points in a metric space. Usually multidistances are defined among crisp objects. In this note we propose a multidistance defined among fuzzy numbers which satisfies the following conditions: it must take into account all distances between all pairs of fuzzy data, must be regular and easy to compute.File in questo prodotto:
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