A characterization of linear satisfaction measures

Donata Marasini () and Piero Quatto ()

METRON, 2014, vol. 72, issue 1, 17-23

Abstract: It is natural to assume for rating data an ordinal scale consisting of $$k$$ k categories (in ascending order of satisfaction). At first glance, ratings can be summarized by a location index (as the median), resulting in a synthesis that takes into account the ordinal nature of data. On the other hand, ratings are often converted into scores and treated as a quantitative variable. More generally, it is possible to measure satisfaction by means of a real-valued function defined on the standard simplex and fulfilling some appropriate conditions. In such a context, the aim of this paper is twofold: firstly, to provide a general definition of satisfaction measures and, secondly, to prove a representation Theorem for these measures. Copyright Sapienza Università di Roma 2014

Keywords: Ordinal data; Ratings; Satisfaction measures; Nagumo–Kolmogorov–de Finetti Theorem (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s40300-013-0016-x

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