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Belief functions and default reasoning
Univ. Paul Sabatier, Toulouse, France.
Örebro University, Department of Technology. (Mobile Robotics Lab)ORCID iD: 0000-0001-8229-1363
Univ. Libre de Bruxelles, Brussels, Belgium.
2000 (English)In: Artificial Intelligence, ISSN 0004-3702, E-ISSN 1872-7921, Vol. 122, no 1-2, p. 1-69Article in journal (Refereed) Published
Abstract [en]

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 sub-theories, 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 we show that this system correctly addresses the well-known problems of specificity, irrelevance, blocking of inheritance, ambiguity, and redundancy

Place, publisher, year, edition, pages
2000. Vol. 122, no 1-2, p. 1-69
National Category
Computer Sciences
Research subject
Computer and Systems Science
Identifiers
URN: urn:nbn:se:oru:diva-3754DOI: 10.1016/S0004-3702(00)00041-2OAI: oai:DiVA.org:oru-3754DiVA, id: diva2:138052
Available from: 2007-08-01 Created: 2007-08-01 Last updated: 2018-01-13Bibliographically approved

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Saffiotti, Alessandro

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