Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

Completing rule bases in symbolic domains by analogy making

Authors
Henri Prade, Steven Schockaert
Corresponding Author
Henri Prade
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.76How to use a DOI?
Keywords
Commonsense reasoning; analogical proportions; incomplete information; if-then rules
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.
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This is an open access article distributed under the CC BY-NC license.

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Proceedings
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2011.76How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Henri Prade
AU  - Steven Schockaert
PY  - 2011/08
DA  - 2011/08
TI  - Completing rule bases in symbolic domains by analogy making
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 928
EP  - 934
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.76
DO  - https://doi.org/10.2991/eusflat.2011.76
ID  - Prade2011/08
ER  -