NDLI: A general method for deciding about logically constrained issues

Content Provider	Springer Nature Link
Author	Camps, Rosa Mora, Xavier Saumell, Laia
Copyright Year	2012
Abstract	A general method is given for revising degrees of belief and arriving at consistent decisions about a system of logically constrained issues. In contrast to other works about belief revision, here the constraints are assumed to be fixed. The method has two variants, dual of each other, whose revised degrees of belief are respectively above and below the original ones. The upper [resp. lower] revised degrees of belief are uniquely characterized as the lowest [resp. greatest] ones that are invariant by a certain max-min [resp. min-max] operation determined by the logical constraints. In both variants, making balance between the revised degree of belief of a proposition and that of its negation leads to decisions that are ensured to be consistent with the logical constraints. These decisions are ensured to agree with the majority criterion as applied to the original degrees of belief whenever this gives a consistent result. They are also ensured to satisfy a property of respect for unanimity about any particular issue, as well as a property of monotonicity with respect to the original degrees of belief. The application of the method to certain special domains comes down to well established or increasingly accepted methods, such as the single-link method of cluster analysis and the method of paths in preferential voting.
Ending Page	72
Page Count	34
Starting Page	39
File Format	PDF
ISSN	10122443
e-ISSN	15737470
Journal	Annals of Mathematics and Artificial Intelligence
Issue Number	1
Volume Number	64
Language	English
Publisher	Springer Netherlands
Publisher Date	2012-03-29
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Degrees of belief Cluster analysis Logics of knowledge and belief (including belief change) Conjunctive normal forms Plausible reasoning Mathematics Clustering Statistical Physics, Dynamical Systems and Complexity Doctrinal paradox Belief revision Social choice Decision theory Reasoning under uncertainty Computer Science Preferential voting Artificial Intelligence (incl. Robotics) Constrained judgment aggregation Artificial intelligence
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Artificial Intelligence

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