Towards a general and unified characterization of individual and collective choice functions under fuzzy and nonfuzzy preferences and majority via the ordered weighted average operators

  • Authors:
  • Janusz Kacprzyk;Sławomir Zadrożny

  • Affiliations:
  • Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warszawa, Poland;Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warszawa, Poland

  • Venue:
  • International Journal of Intelligent Systems - Decision Sciences: Foundations and Applications
  • Year:
  • 2009

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Abstract

In 1951, K.J. Arrow proved that, under certain assumptions, it is impossible to have group decision-making rules that satisfy reasonable conditions like symmetry. This Impossibility Theorem is often cited as a proof that reasonable group decision-making ...