Abstract

Most of the techniques for constructing fuzzy models from data focus only on minimizing the error between the model's output and the training data; however, these approaches may result in a fuzzy model where individual rules are misleading. The goal of our research is to develop a scheme for identifying Takagi-Sugeno-Kang (TSK) models whose individual rules approximate the training data covered by a rule (local fitness), while the entire model approximates the whole training set (global fitness). We propose an approach that first initializes a Kalman filter based on local fitness. The Kalman filter then is used to identify the consequent parameters of TSK models by minimizing global fitness. We are motivated to use fuzzy models over other modeling paradigms to obtain insights about the local behavior of the model using IF-THEN rules which decompose a complex problem into readily understandable portions. If the local behavior of the model is not consistent with the system or underlying data, then the justification for modeling in a fuzzy logic framework is diminished to a degree if not entirely. We illustrate our approach using two model identification problems.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.