| Title: | A Statistical Probability Theory for a Symbolic Management of Quantified Assertions. |
| Authors: | Y. Khayata and D. Pacholczyk |
| Series: | Linköping Electronic Articles in Computer and Information Science ISSN 1401-9841 |
| Issue: | Vol. 5 (2000): nr 025 |
| URL: | http://www.ep.liu.se/ea/cis/2000/025/ |
| Abstract: | In this paper we present a new approach to a symbolic treatment of quantified statements having the following form "Q A'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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| First posting 1999-04-06 | In ETAI Newsletter and Decision and Reasoning under Uncertainty |
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Original publication 2000-12-21 |
Postscript part I --
Checksum Postscript part II -- Checksum II |
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