Measure and integral with purely ordinal scales.

DOI10.1016/j.jmp.2003.11.002zbMath1077.06500OpenAlexW2109653513MaRDI QIDQ1431813

Michel Grabisch, Dieter Denneberg

Publication date: 11 June 2004

Published in: Journal of Mathematical Psychology (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.909.9496

zbMATH Keywords

CapacityBipolar scaleIntegralNonadditive measureOrdinal scale

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Measurement theory in the social and behavioral sciences (91C05) One- and multidimensional scaling in the social and behavioral sciences (91C15)

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Cites Work

• Reconciling introspective utility with revealed preference: experimental arguments based on prospect theory
• Handbook of mathematical economics. Volume III
• Non-additive measure and integral
• Max-min (\(\sigma\)-)additive representation of monotone measures
• The symmetric Sugeno integral.
• On Sugeno integral as an aggregation function
• Entfernung zweier zufälliger Grössen und die Konvergenz nach Wahrscheinlichkeit
• Prospect Theory: An Analysis of Decision under Risk
• The Predictive Utility of Generalized Expected Utility Theories
• Real Analysis and Probability
• Utility Theory without the Completeness Axiom
• Decision-theoretic foundations of qualitative possibility theory
• Representing subjective orderings of random variables: An extension
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