On the structure of fuzzy social welfare functions

  • Authors:
  • C. R. Barrett;Prasanta K. Pattanaik;Maurice Salles

  • Affiliations:
  • -;-;-

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 1986

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Abstract

We investigate the structure of fuzzy aggregation rules which, for every permissible profile of individual preferences, specify a fuzzy social ordering. It is shown that all fuzzy aggregation rules which have non-narrow domains and which satisfy the fuzzy counterparts of independence of irrelevant alternatives and Pareto criterion are characterized by a distribution of 'veto' power which would be generally considered undesirable.