Mixed rational assessments of possibility and probability measures
Mixed rational assessments of possibility and probability measures
In this paper we introduce the modal-fuzzy logic FPΠ(RŁΔ) for reasoning about probability and possibility at the same time. We will use such a logical formalism in order to treat mixed assessments of both those kinds of measures. The main result of this paper is a characterization of the coherence for rational mixed assessments by means of the logical consistency of a suitably defined FPΠ(RŁΔ)-theory. By means of this characterization, we will also prove that the problem of testing the coherence of a mixed assessment is NP-complete.
Coherence, Computational Complexity, Fuzzy Logics, Possibility Measure, Probability Measure
33-42
Flaminio, Tommaso
10824669-cfbb-4724-aa74-e1b31574dae8
Marchioni, Enrico
729c9984-5949-438e-8de7-0e079bdb9f96
1 March 2007
Flaminio, Tommaso
10824669-cfbb-4724-aa74-e1b31574dae8
Marchioni, Enrico
729c9984-5949-438e-8de7-0e079bdb9f96
Flaminio, Tommaso and Marchioni, Enrico
(2007)
Mixed rational assessments of possibility and probability measures.
Electronic Notes in Theoretical Computer Science, 169, .
(doi:10.1016/j.entcs.2006.07.027).
Abstract
In this paper we introduce the modal-fuzzy logic FPΠ(RŁΔ) for reasoning about probability and possibility at the same time. We will use such a logical formalism in order to treat mixed assessments of both those kinds of measures. The main result of this paper is a characterization of the coherence for rational mixed assessments by means of the logical consistency of a suitably defined FPΠ(RŁΔ)-theory. By means of this characterization, we will also prove that the problem of testing the coherence of a mixed assessment is NP-complete.
This record has no associated files available for download.
More information
e-pub ahead of print date: 22 February 2007
Published date: 1 March 2007
Keywords:
Coherence, Computational Complexity, Fuzzy Logics, Possibility Measure, Probability Measure
Identifiers
Local EPrints ID: 417389
URI: http://eprints.soton.ac.uk/id/eprint/417389
PURE UUID: be1254ff-ba1e-475e-9ecb-1816ee3fcfc2
Catalogue record
Date deposited: 30 Jan 2018 17:31
Last modified: 15 Mar 2024 17:37
Export record
Altmetrics
Contributors
Author:
Tommaso Flaminio
Author:
Enrico Marchioni
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics