n-Way Metrics |
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| Authors: | Matthijs J Warrens |
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| Institution: | 1. Institute of Psychology, Unit Methodology and Statistics, Leiden University, P.O. Box?9555, 2300 RB, Leiden, The Netherlands
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| Abstract: | We study a family of n-way metrics that generalize the usual two-way metric. The n-way metrics are totally symmetric maps from E
n
into
\mathbbR \geqslant 0 {\mathbb{R}_{ \geqslant 0}} . The three-way metrics introduced by Joly and Le Calvé (1995) and Heiser and Bennani (1997) and the n-way metrics studied in Deza and Rosenberg (2000) belong to this family. It is shown how the n-way metrics and n-way distance measures are related to (n − 1)-way metrics, respectively, (n − 1)-way distance measures. |
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