Transitive indistinguishability and approximate measurement with standard finite ratio-scale representations
Journal of Mathematical Psychology 50:329-336 (2006)
| Abstract | Ordinary measurement using a standard scale, such as a ruler or a standard set of weights, has two fundamental properties. First, the results are approximate, for example, within 0.1 g. Second, the resulting indistinguishability is transitive, rather than nontransitive, as in the standard psychological comparative judgments without a scale. Qualitative axioms are given for structures having the two properties mentioned. A representation theorem is then proved in terms of upper and lower measures. | |||||||||
| Keywords | Measurement Theory Approximation Transitivity | |||||||||
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