n-Variable Bisection

This paper deals with the measurement problem of deriving an overall evaluation of stimuli by n-component bisection. Reflexivity and a generalised form of bisymmetry for two variables will be shown to characterise n-component bisection in terms of quasilinear means, unique up to linear transformatio...

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Veröffentlicht in:Journal of mathematical psychology 2000-12, Vol.44 (4), p.569-581
Hauptverfasser: Münnich, Ákos, Maksa, Gyula, Mokken, Robert J
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper deals with the measurement problem of deriving an overall evaluation of stimuli by n-component bisection. Reflexivity and a generalised form of bisymmetry for two variables will be shown to characterise n-component bisection in terms of quasilinear means, unique up to linear transformations of their generating functions.
ISSN:0022-2496
1096-0880
DOI:10.1006/jmps.1999.1262