Abstract
This chapter provides a general overview of advances made in qualitative possibility theory and its application to information processing in the last decade. These methodological results reflect a series of works done in few research groups, including the one of the authors. More precisely, the ability of possibility theory to handle positive and negative information (knowledge as well as preferences) in a bipolar way is emphasized including an original revision process, together with its use for representing information in different formats, for formalizing various types of reasoning pervaded with uncertainty, for providing a qualitative framework for decision making, and for learning from imperfect data.
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Some General References on Possibility Theory
Dubois D., Prade H. Possibility Theory: An Approach to Computerized Processing of Uncertainty, Plenum Press, New York, 1988.
Dubois D., Prade H. Fuzzy sets in approximate reasoning: A personal view. In: Implementations and Applications for Fuzzy Logic, (M. J. Patyra, D.M. Mlynek, eds.), J. Wiley and B. G. Teubner, New York and Stuttgart, 3–35, 1996.
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Specific References (in the Last Decade)
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Possibilistic Representations of Knowledge and Preferences
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Possibilistic Description Logic
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Possibilistic Information Fusion
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Possibilistic Temporal Reasoning
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Possibilistic Approximate Reasoning
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Possibilistic Case-based Reasoning
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Flexible Querying and Possibilistic Data
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Possibilistic Decision and Related Topics
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Dubois, D., Prade, H. (2008). Qualitative Possibility Theory in Information Processing. In: Forging New Frontiers: Fuzzy Pioneers II. Studies in Fuzziness and Soft Computing, vol 218. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73185-6_3
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