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Benferhat, S.; Saffiotti, A.; Smets, P.

Belief functions and default reasoning. (English) Zbl 0948.68112

Artif. Intell. 122, No. 1-2, 1-69 (2000).
Summary: We present a new approach to deal with default information based on the theory of belief functions. Our semantic structures, inspired by Adams’ epsilon semantics, are epsilon-belief assignments, where mass values are either close to 0 or close to 1. In the first part of this paper, we show that these structures can be used to give a uniform semantics to several popular non-monotonic systems, including Kraus, Lehmann and Magidor’s system \(P\) , Pearl’s system \(Z\) , Brewka’s preferred subtheories, Geffner’s conditional entailment, Pinkas’ penalty logic, possibilistic logic and the lexicographic approach. In the second part, we use epsilon-belief assignments to build a new system, called LCD, and show that this system correctly addresses the well-known problems of specificity, irrelevance, blocking of inheritance, ambiguity, and redundancy.

Cited in 31 Documents

MSC:

68Q55 Semantics in the theory of computing

Keywords:

belief functions; default reasoning; infinitesimals; least-commitment principle
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\textit{S. Benferhat} et al., Artif. Intell. 122, No. 1--2, 1--69 (2000; Zbl 0948.68112)
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