提出了一种基于统计的模糊系统摄动定量度量方法,对于模糊系统摄动的定量度量具有重要的理论及实践意义。使用该方法,模糊系统的输入输出之间的摄动关系、模糊系统各层的摄动性可以高效地计算得到。这对于快速评估模糊系统的性能具有参考意义。仿真结果证明了该方法的有效性。
A statistical quantitative sensitivity measurement for fuzzy system, which has significant theoretical and practical importance, was investigated. By using the proposed sensitivity measurement, the quantitative relationship between the input perturbation and the output perturbation of fuzzy system could be computed analytically and efficiently. In addition, the sensitivity of each layer in fuzzy system could also be measured simultaneously while computing the sensitivity of fuzzy system. The proposed sensitivity measurement can do great contribution to the rapid performance evaluation of fuzzy system. Numerical simulations illustrate the correctness and effectiveness of the proposed sensitivity measurement.