T-conditional possibilities: Coherence and inference

  • Authors:
  • Giulianella Coletti;Barbara Vantaggi

  • Affiliations:
  • Dip. Matematica e Informatica, Università di Perugia, via Vanvitelli, 06123 Perugia, Italy;Dip. Metodi e Modelli Matematici, Università “La Sapienza” Roma, via Scarpa 16, 00161 Roma, Italy

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2009

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Abstract

In this paper we refer to an axiomatic definition of T-conditional possibility, where T is any t-norm. We characterize a full T-conditional possibility in terms of a suitable set of unconditional possibilities. Starting from this characterization we are able to manage coherent conditional possibility assessments and their enlargements. To compare T-conditional possibility related to different t-norm T, we study binary relations locally representable by a T-conditional possibility.