Polynomial regression interval-valued fuzzy systems

  • Authors:
  • Yu Qiu;Hong Yang;Yan-Qing Zhang;Yichuan Zhao

  • Affiliations:
  • Georgia State University, Department of Computer Science, 30302-3994, Atlanta, GA, USA;Georgia State University, Department of Computer Science, 30302-3994, Atlanta, GA, USA;Georgia State University, Department of Computer Science, 30302-3994, Atlanta, GA, USA;Georgia State University, Department of Mathematics and Statistics, 30303, Atlanta, GA, USA

  • Venue:
  • Soft Computing - A Fusion of Foundations, Methodologies and Applications
  • Year:
  • 2007

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Abstract

In recent years, the type-2 fuzzy sets theory has been used to model and minimize the effects of uncertainties in rule-base fuzzy logic system (FLS). In order to make the type-2 FLS reasonable and reliable, a new simple and novel statistical method to decide interval-valued fuzzy membership functions and probability type reduce reasoning method for the interval-valued FLS are developed. We have implemented the proposed non-linear (polynomial regression) statistical interval-valued type-2 FLS to perform smart washing machine control. The results show that our quadratic statistical method is more robust to design a reliable type-2 FLS and also can be extend to polynomial model.