A view on conditional measures through local representability of binary relations

  • Authors:
  • Giulianella Coletti;Barbara Vantaggi

  • Affiliations:
  • Dip. Matematica e Informatica, Università di Perugia, Italy;Dip. Metodi e Modelli Matematici, Università “La Sapienza” Roma, Italy

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2008

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Abstract

We consider binary relations @? admitting a conditional measure of uncertainty @f (precisely plausibility, possibility and their dual functions), which locally represents @?: for every pair A@?B, the measure @f(.|C) almost represents for any hypothesis C@?A@?B, and represents @? under the most specific hypothesis C=A@?B.