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Decrement Operators in Belief Change

2019-05-20
Kai Sauerwald, Christoph Beierle

Abstract

While research on iterated revision is predominant in the field of iterated belief change, the class of iterated contraction operators received more attention in recent years. In this article, we examine a non-prioritized generalisation of iterated contraction. In particular, the class of weak decrement operators is introduced, which are operators that by multiple steps achieve the same as a contraction. Inspired by Darwiche and Pearl’s work on iterated revision the subclass of decrement operators is defined. For both, decrement and weak decrement operators, postulates are presented and for each of them a representation theorem in the framework of total preorders is given. Furthermore, we present two types of decrement operators which have a unique representative.

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URL

http://arxiv.org/abs/1905.08347

PDF

http://arxiv.org/pdf/1905.08347


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