Quantitative measurement for fuzzy system to input and rule perturbations

Authors:
Dong-Jun Yu;Xiao-Jun Wu;Jing-Yu Yang
Affiliations:
School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China;School of Computer Science and Technology, Jiangsu University of Science and Technology, Zhenjiang, China;School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China
Venue:
ICIC'06 Proceedings of the 2006 international conference on Intelligent computing: Part II
Year:
2006

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Abstract

In practice, input and rule perturbation are two important factors that will heavily influence the performance of fuzzy system. Quantitatively measure the influence of these two kinds of perturbation on the input/output mapping relationship of fuzzy system has great significance, theoretically and practically. In this paper, a statistical-based quantitative measurement for input and rule perturbation is proposed. By using the proposed approach, influence of perturbations on fuzzy system can be computed quantitatively, analytically and efficiently. Simulation results demonstrate the effectiveness of the proposed approach.