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.
Reference:
Booth, R, Meyer, T and Sombattheera, C. 2012. A general family of preferential belief removal operators. Journal of Philosophical Logic, vol. 41(4), pp 711-733
Booth, R., Meyer, T., & Sombattheera, C. (2012). A general family of preferential belief removal operators. http://hdl.handle.net/10204/6012
Booth, R, T Meyer, and C Sombattheera "A general family of preferential belief removal operators." (2012) http://hdl.handle.net/10204/6012
Booth R, Meyer T, Sombattheera C. A general family of preferential belief removal operators. 2012; http://hdl.handle.net/10204/6012.
Copyright: 2012 Springer. This is the post-print version of the work. The definitive version is published in Journal of Philosophical Logic, vol. 41(4), pp 711-733
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