Journal of Mathematical Psychology volume 50, issue 3, P302-308 2006 DOI: 10.1016/ View full text
Ching-Fan Sheu

Abstract: Let a, b, c, with aXbXc, be positive real numbers indicating the intensities of physical stimuli in a psychophysical experiment; let P abc be the probability that b is judged to be more similar to a (''closer to'') a than to c. This paper investigates the following representation and its subcases for triadic judgments P abc ¼ F½uðaÞ À uðbÞ; uðbÞ À uðcÞ,where u is a real-valued, strictly increasing, continuous function and F is continuous, strictly decreasing in the first variable, and strictly increasing in t…

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