基于三角形模糊数的非线性T-S模糊系统的峰值点和分量半径优化

doi:10.3785/j.issn.1008-9497.2016.03.003

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摘要单值模糊器是将高维空间中一个实值点映射成该空间上的一个单值模糊集,在构造非线性T-S模糊系统时不仅可克服输入变量的噪声问题,而且能减少模糊推理机设计中的计算量.首先,基于分片线性函数和单值模糊器给出了非线性T-S模糊系统模型;并依据广义三角形的重心坐标公式,对等距剖分论域中的峰值点和分量半径等参数进行了优化;最后,通过模拟实例对系统进行了验证,得到优化后的非线性T-S模糊系统确实有更好的逼近效果.

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关键词 ：分片线性函数, 单值模糊器, 非线性T-S模糊系统, 峰值点, 分量半径

Abstract：Single value fuzzifier is a mapping from a real value point to higher dimensional triangle fuzzy number in n-European space. It not only can overcome the noise of the input variables in constructing nonlinear T-S fuzzy system, but also can simplify the complicated calculation in the design of fuzzy inference engine. Firstly, a nonlinear T-S fuzzy system model is established based on the piecewise linear function and the single value fuzzifier. Secondly, the peak points and the branch radius in the equidistant subdivision universe are optimized by adopting the formula of barycenter of the generalized triangle. Finally, we verify that the optimized nonlinear T-S fuzzy system has good approximation effect by selecting the sample points.

Key words： piecewise linear function single value fuzzifier nonlinear T-S fuzzy system peak point branch radius

收稿日期: 2015-09-09

:	O174.4
	O159

基金资助:国家自然科学基金资助项目(61374009);吉林省教育厅"十二五"科技项目(吉教科合字[2011]第456号).

通讯作者: 王贵君,ORCID:http://orcid.org/0000-0002-2337-5951,E-mail:tjwgj@126.com. E-mail: tjwgj@126.com

作者简介: 王宏志(1975-),ORCID:http://orcid.org/0000-0002-5417-6859,男,硕士,副教授,主要从事模糊系统分析研究,E-mail:whz-98@126.com.

引用本文:

王宏志, 陶玉杰, 王贵君. 基于三角形模糊数的非线性T-S模糊系统的峰值点和分量半径优化[J]. 浙江大学学报（理学版）, 2016, 43(3): 264-270.
WANG Hongzhi, TAO Yujie, WANG Guijun. Optimizations of peak points and branch radius of nonlinear T-S fuzzy system based on triangular fuzzy numbers. Journal of ZheJIang University(Science Edition), 2016, 43(3): 264-270.

链接本文:

http://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2016.03.003 或 http://www.zjujournals.com/sci/CN/Y2016/V43/I3/264

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