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Possibilistic DL-Lite

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8078))

Abstract

DL-Lite is one of the most important fragment of description logics that allows a flexible representation of knowledge with a low computational complexity of the reasoning process. This paper investigates an extension of DL-Lite to deal with uncertainty associated with objects, concepts or relations using a possibility theory framework. Possibility theory offers a natural framework for representing uncertain and incomplete information. It is particularly useful for handling inconsistent knowledge. We first provide foundations of possibilistic DL-Lite, denoted by π-DL-Lite, where we present its syntax and its semantics. We then study the reasoning tasks and show how to measure the inconsistency degree of a knowledge base using query evaluations. An important result of the paper is that the extension of the expressive power of DL-Lite is done without additional extra computational costs.

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Benferhat, S., Bouraoui, Z. (2013). Possibilistic DL-Lite. In: Liu, W., Subrahmanian, V.S., Wijsen, J. (eds) Scalable Uncertainty Management. SUM 2013. Lecture Notes in Computer Science(), vol 8078. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40381-1_27

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  • DOI: https://doi.org/10.1007/978-3-642-40381-1_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40380-4

  • Online ISBN: 978-3-642-40381-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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