Qualitative Uncertainty Orderings Revised

  • Authors:
  • Andrea Capotorti;Andrea Formisano;Gianfranco Murador

  • Affiliations:
  • Dipartimento di Matematica e Informatica, Università di Perugia;Dipartimento di Informatica, Università di L'Aquila;Dipartimento di Informatica, Università di L'Aquila

  • Venue:
  • Electronic Notes in Theoretical Computer Science (ENTCS)
  • Year:
  • 2007

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Abstract

In recent decades, qualitative approaches to probabilistic uncertainty have been receiving wider and wider attention. We propose a new characterization of some of the most adopted partial preference orders by providing an uniform axiomatic treatment of a variety of qualitative uncertainty notions. We prove a representation result that connects qualitative notions of partial uncertainty to their numerical counterparts. We also describe an executable specification, in the declarative framework of Answer Set Programming, that constitutes the core engine for the qualitative management of uncertainty. Some basic reasoning tasks are also identified.