A Qualitative Approach to Syllogistic Reasoning |
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Authors: | Mohamed Yasser Khayata Daniel Pacholczyk Laurent Garcia |
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Affiliation: | (1) LERIA, University of Angers, 2 Bd Lavoisier, 49045 Angers CEDEX 01, France |
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Abstract: | In this paper we present a new approach to a symbolic treatment of quantified statements having the following form QA's are B's, knowing that A and B are labels denoting sets, and Q is a linguistic quantifier interpreted as a proportion evaluated in a qualitative way. Our model can be viewed as a symbolic generalization of statistical conditional probability notions as well as a symbolic generalization of the classical probabilistic operators. Our approach is founded on a symbolic finite M-valued logic in which the graduation scale of M symbolic quantifiers is translated in terms of truth degrees. Moreover, we propose symbolic inference rules allowing us to manage quantified statements. |
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Keywords: | knowledge representation statistical information linguistic quantifiers quantified assertions syllogistic reasoning |
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