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Comparative uncertainty: theory and automation

Published online by Cambridge University Press:  01 February 2008

ANDREA CAPOTORTI  and
ANDREA FORMISANO
ANDREA CAPOTORTI
Affiliation:
Dipartimento di Matematica e Informatica, Università di Perugia, Via Vanvitelli 1, I-06123 Perugia, Italy Email: [email protected]; [email protected]
ANDREA FORMISANO
Affiliation:
Dipartimento di Matematica e Informatica, Università di Perugia, Via Vanvitelli 1, I-06123 Perugia, Italy Email: [email protected]; [email protected] Dipartimento di Informatica, Università di L'Aquila, Via Vetoio, I-67010 L'Aquila, Italy
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Abstract

In recent decades, qualitative approaches to probabilistic uncertainty have received more and more attention. We propose a characterisation of partial preference orders through a uniform axiomatic treatment of a variety of qualitative uncertainty notions. To this end, we prove a representation result that connects qualitative notions of partial uncertainty to their numerical counterparts. We describe an executable specification, in the declarative framework of Answer Set Programming, that constitutes the core engine for qualitative management of uncertainty. Some basic reasoning tasks are also identified.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 18 , Special Issue 1: in memory of Sauro Tulipani , February 2008 , pp. 57 - 79
Copyright
Copyright © Cambridge University Press2008

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