Fuzzy choice functions

Academic Article

Abstract

  • The R-greatest and maximal sets of standard choice theory are extended to fuzzy R-greatest and fuzzy maximal sets. Unlike the precise counterparts of these concepts, these two sets do not in general coincide when preferences are reflexive and connected. A stronger than usual version of connectedness under which the two sets are equal is provided. The concept of a fuzzy choice function is introduced and conditions under which a fuzzy choice function may be rationalized as a fuzzy R-greatest or a fuzzy maximal set are discussed. Rationalizability with transitive and weakly transitive fuzzy preference relations is also considered. © 1991 Springer-Verlag.
  • Published In

    Digital Object Identifier (doi)

    Author List

  • Dasgupta M; Deb R
  • Start Page

  • 171
  • End Page

  • 182
  • Volume

  • 8
  • Issue

  • 2