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Authors: Y. Khayata and D. Pacholczyk
Article title: A Statistical Probability Theory for a Symbolic Management of Quantified Assertions
Publ. type: Article
Volume: 5
Article No: 25
Language: English
Abstract [en]: 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.
Publisher: LINKÖPING University Electronic Press
Year: 2000
Available: 2000-12-21
No. of pages: 10
Series: LINKÖPING Electronic Articles in Computer and Information Science
ISSN: 1401-9841
Note: First posting 1999-04-06 in ETAI Newsletter and Decision and Reasoning under Uncertainty

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