Commutativity as prior knowledge in fuzzy modeling

Authors:
Pablo Carmona;Juan L. Castro;José A Zurita
Affiliations:
Universidad de Extremadura, Depto. de Informática, E. Ingenierías Industriales, Avda. Elvas, Badajoz, Spain;Universidad de Granada, Depto. de Ciencias de la Computación e I.A., E.T.S.I. Informática., Granada, Spain;Universidad de Granada, Depto. de Ciencias de la Computación e I.A., E.T.S.I. Informática., Granada, Spain
Venue:
IFSA'03 Proceedings of the 10th international fuzzy systems association World Congress conference on Fuzzy sets and systems
Year:
2003

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Abstract

This paper faces with the integration of mathematical properties satisfied by the system as prior knowledge in fuzzy modeling (FM), focusing on the commutativity as a starting point. The underlying idea is to reward the rules in each input fuzzy region that provide good commutativity degrees respecting its complementary --commutatively related-- input fuzzy region. With this aim, the similarity between the outputs in both regions will be obtained. The experimental results show the accuracy improvement gained by the proposed method.