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International Journal of Approximate Reasoning
Volume 45, Issue 3, August 2007, Pages 488-510
North American Fuzzy Information Processing Society Annual Conference NAFIPS ’2005
 
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doi:10.1016/j.ijar.2006.06.026    
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Copyright © 2006 Elsevier Inc. All rights reserved.

Fuzzy modelling through logic optimization

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A.F. GobiCorresponding Author Contact Information, a, E-mail The Corresponding Author and W. Pedrycza, E-mail The Corresponding Author

aDepartment of Electrical and Computer Engineering, University of Alberta, Edmonton, Alta, Canada T6G 2V4


Received 6 October 2005; 
revised 12 March 2006; 
accepted 30 June 2006. 
Available online 17 October 2006.

Abstract

This study proposes a new logic-driven approach to the development of fuzzy models. We introduce a two-phase design process realizing adaptive logic processing in the form of structural and parametric optimization. By recognizing the fundamental links between binary (two-valued) and fuzzy (multi-valued) logic, effective structural learning is achieved through the use of well-established methods of Boolean minimization encountered in digital systems. This blueprint structure is then refined by adjusting connections of fuzzy neurons, helping to capture the numeric details of the target system’s behavior. The introduced structure along with the learning mechanisms helps achieve high accuracy and interpretability (transparency) of the resulting model.

Keywords: Logic-driven modelling; Boolean minimization; Fuzzy neurons; Interpretability


Corresponding Author Contact InformationCorresponding author. Present address: Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, Nfld, Canada A1B 3X5. Tel.: +1 709 722 3270.

International Journal of Approximate Reasoning
Volume 45, Issue 3, August 2007, Pages 488-510
North American Fuzzy Information Processing Society Annual Conference NAFIPS ’2005
 
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