Completing rule bases in symbolic domains by analogy making

Prade, Henri and Schockaert, Steven ORCID: https://orcid.org/0000-0002-9256-2881 2011. Completing rule bases in symbolic domains by analogy making. Presented at: EUSFLAT-2011, Aix-Les-Bains, France, 18-22 July 2011. Published in: Galichet, S., Montero, J. and Mauris, G. eds. Proceedings of the 7th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011) and LFA-2011. , vol.1 Atlantis Press, pp. 928-934. 10.2991/eusflat.2011.76

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Abstract

The paper considers the problem of completing a set of parallel if-then rules that provides a partial description of how a conclusion variable depends on the values of condition variables, where each variable takes its value among a finite ordered set of labels. The proposed approach does not require the use of fuzzy sets for the interpretation of these labels or for defining similarity measures, but rather relies on the extrapolation of missing rules on the basis of analogical proportions that hold for each variable between the labels of several parallel rules. The analogical proportions are evaluated for binary and multiple-valued variables on the basis of a logical expression involving Lukasiewicz implication. The underlying assumption is that the mapping partially specified by the given rules is as regular as suggested by these rules. A comparative discussion with other approaches is presented.

Item Type:	Conference or Workshop Item (Paper)
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science Q Science > QA Mathematics > QA76 Computer software
Uncontrolled Keywords:	Commonsense reasoning; analogical proportions; incomplete information; if-then rules
Additional Information:	Joint conference: EUSFLAT-2011 and LFA-2011
Publisher:	Atlantis Press
ISBN:	9789078677000
Related URLs:	Publisher
Last Modified:	20 Oct 2022 09:24
URI:	https://orca.cardiff.ac.uk/id/eprint/31839

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