Piecewise constructive approach to constructing fuzzy systems
Yanqing Zhang, Ming Ma, Abraham Kandel · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1999
By overcoming weaknesses of the linear fuzzy system, our new piecewise nonlinear constructive method can effectively construct a reasonable fuzzy system with the near-optimal number of fuzzy rules. In addition, the new approach is capable of generating a commonly used fuzzy rule base with both meaningful input and output membership functions. The normal-fuzzy-reasoning-based nonlinear constructive approach provides us with a powerful tool to model a normal fuzzy system piece by piece (i.e. interval by interval) for both given data and any required accuracy. Additionally, the piecewise construct approach is a useful tool to discover meaningful fuzzy knowledge from raw data.