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Revising Incompletely Specified Convex Probabilistic Belief Bases
Rens, Gavin; Meyer, Thomas; CASINI, Giovanni
2016In Kern-Isberner,, Gabriele; Wassermann, Renata (Eds.) Proceedings of the 16th International Workshop on Non-Monotonic Reasoning (NMR 2016)
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Keywords :
probability; belief revision
Abstract :
[en] We propose a method for an agent to revise its incomplete probabilistic beliefs when a new piece of propositional information is observed. In this work, an agent’s beliefs are represented by a set of probabilistic formulae – a belief base. The method involves determining a representative set of ‘boundary’ probability distributions consistent with the current belief base, revising each of these probability distributions and then translating the revised information into a new belief base. We use a version of Lewis Imaging as the revision operation. The correctness of the approach is proved. The expressivity of the belief bases under consideration are rather restricted, but has some applications. We also discuss methods of belief base revision employing the notion of optimum entropy, and point out some of the benefits and difficulties in those methods. Both the boundary distribution method and the optimum entropy method are reasonable, yet yield different results.
Disciplines :
Computer science
Author, co-author :
Rens, Gavin;  University of KwaZulu-Natal > School of Mathematics, Statistics and Computational Sciences > Postdoc
Meyer, Thomas;  University of Cape Town > Department of Computer Science > Full professor
CASINI, Giovanni ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC)
External co-authors :
yes
Language :
English
Title :
Revising Incompletely Specified Convex Probabilistic Belief Bases
Publication date :
April 2016
Event name :
16th International Workshop on Non-Monotonic Reasoning (NMR 2016)
Event place :
Cape Town, South Africa
Event date :
from 22-04-2016 to 24-04-2016
Audience :
International
Main work title :
Proceedings of the 16th International Workshop on Non-Monotonic Reasoning (NMR 2016)
Editor :
Kern-Isberner,, Gabriele
Wassermann, Renata
Publisher :
Technische Universität Dortmund
Pages :
133-142
Peer reviewed :
Peer reviewed
Focus Area :
Computational Sciences
FnR Project :
FNR9181001 - Subjective And Objective Uncertainty In Description Logics, 2014 (01/07/2015-30/06/2017) - Giovanni Casini
Name of the research project :
SOUL (AFR/9181001)
Funders :
FNR - Fonds National de la Recherche
Available on ORBilu :
since 26 March 2017

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