International Journal of Computational Intelligence Systems

Volume 5, Issue 2, April 2012, Pages 297 - 321

A Mechanism to Improve the Interpretability of Linguistic Fuzzy Systems with Adaptive Defuzzification based on the use of a Multi-objective Evolutionary Algorithm

Authors
Antonio A. Márquez, Francisco A. Márquez, Antonio Peregrín
Corresponding Author
Antonio A. Márquez
Received 15 December 2010, Accepted 1 June 2011, Available Online 1 April 2012.
DOI
10.1080/18756891.2012.685309How to use a DOI?
Keywords
Linguistic fuzzy modelling, interpretability-accuracy trade-off, multi-objective genetic algorithms, adaptive defuzzification methods
Abstract

This paper proposes a mechanism that helps improve the interpretability of linguistic fuzzy ruled based systems with common adaptive defuzzification methods. Adaptive defuzzification significantly improves the system accuracy, but introduces weights associated with each rule of the rule base, decreasing the system interpretability. The suggested mechanism is based on three goals: 1) reducing the number of total rules considering that rule weight close to zero can be removed; 2) reducing the rules with weights coupled because rules with weights close to one do not need the weight, and 3) reducing rules triggered jointly, all of them by using several metrics and a proposed interpretability index. This is performed using a multi-objective evolutionary algorithm, obtaining a set of solutions with different trade-offs between accuracy and interpretability. In addition, it is important to note that adaptive defuzzification and therefore the proposal developed in this work can be used together with other methodologies to improve system interpretability and accuracy, so it can be viewed as an interesting component.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
5 - 2
Pages
297 - 321
Publication Date
2012/04/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.1080/18756891.2012.685309How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Antonio A. Márquez
AU  - Francisco A. Márquez
AU  - Antonio Peregrín
PY  - 2012
DA  - 2012/04/01
TI  - A Mechanism to Improve the Interpretability of Linguistic Fuzzy Systems with Adaptive Defuzzification based on the use of a Multi-objective Evolutionary Algorithm
JO  - International Journal of Computational Intelligence Systems
SP  - 297
EP  - 321
VL  - 5
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2012.685309
DO  - 10.1080/18756891.2012.685309
ID  - Márquez2012
ER  -