Aggregation of decomposable measures with application to utility theory

D. Dubois, J. C. Fodor, H. Prade, M. Roubens

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

This paper investigates the eventwise aggregations of decomposable measures preserving the same decomposable property. These operations are obtained by solving a functional equation closely related to the bisymmetry property. Known results for probability as well as possibility measures can be derived as particular cases of our approach. In addition, the unicity of weighted consensus functions is proved in the Archimedean case. An extension of Von Neumann-Morgenstern utility theory is outlined, where probabilities are changed into decomposable measures.

Original languageEnglish
Pages (from-to)59-95
Number of pages37
JournalTheory and Decision
Volume41
Issue number1
DOIs
Publication statusPublished - Jan 1 1996

Keywords

  • Consensus functions
  • Decomposable measures
  • Measurable utility

ASJC Scopus subject areas

  • Decision Sciences(all)
  • Developmental and Educational Psychology
  • Arts and Humanities (miscellaneous)
  • Applied Psychology
  • Social Sciences(all)
  • Economics, Econometrics and Finance(all)
  • Computer Science Applications

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