Reference : A general family of preferential belief removal operators

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Computer science
	To cite this reference:	http://hdl.handle.net/10993/10345

Title :	A general family of preferential belief removal operators
Language :	English
Author, co-author :	Booth, Richard [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC) >]
	Meyer, Thomas [CSIR Meraka Institute, Pretoria, South Africa]
	Sombattheera, Chattrakul [Mahasarakham University, Thailand]
Publication date :	2012
Journal title :	Journal of Philosophical Logic
Publisher :	Springer
Volume :	41
Issue/season :	4
Pages :	711-733
Peer reviewed :	Yes (verified by ORBilu)
ISSN :	0022-3611
Keywords :	[en] Belief revision ; Belief removal ; Belief contraction ; Belief change ; Plausibility orderings ; Finite belief bases
Abstract :	[en] Most belief change operators in the AGM tradition assume an underlying plausibility ordering over the possible worlds which is transitive and complete. A unifying structure for these operators, based on supplementing the plausibility ordering with a second, guiding, relation over the worlds was presented in Booth et al. (Artif Intell 174:1339–1368, 2010). However it is not always reasonable to assume completeness of the underlying ordering. In this paper we generalise the structure of Booth et al. (Artif Intell 174:1339–1368, 2010) to allow incomparabilities between worlds. We axiomatise the resulting class of belief removal functions, and show that it includes an important family of removal functions based on finite prioritised belief bases.
Permalink :	http://hdl.handle.net/10993/10345

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