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Multi-argument distances

delete2011-03-01
delete29
PRE
AI
J
Javier Martín *
G
Gaspar Mayor
DOI:10.1016/j.fss.2010.10.018delete
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Abstract

Abstract

En 中文
In this paper, we propose a formal definition of a multi-argument function distance. The conventional definition of a distance is extended to apply to collections of more than two elements. Some general properties of multidistances are investigated and significant examples are exhibited. Finally, we introduce the concept of ball centered at a list in order to extend the one of the usual ball in a metric space. (C) 2010 Elsevier B.V. All rights reserved.
Keywords:
Distance
Multidistance
Fermat point
Sum-based multidistance
OWA operator

Journal

Fuzzy Sets and Systems cover
Fuzzy Sets and Systems
IF:
2.7
Papers:
7.6K
Citations:
1.5W

Organization

U
Universitat de les Illes Balears
Scholars:
5.1K
Papers: 4.7K
Citations: 5.5K