最大交互数对非齐次T-S模糊系统的潜在影响

doi:10.6040/j.issn.1671-9352.0.2014.540

山东大学学报（理学版） ›› 2015, Vol. 50 ›› Issue (08): 14-19.doi: 10.6040/j.issn.1671-9352.0.2014.540

最大交互数对非齐次T-S模糊系统的潜在影响

索春凤, 王贵君

天津师范大学数学科学学院, 天津 300387

收稿日期:2014-12-01 出版日期:2015-08-20 发布日期:2015-07-31
通讯作者: 王贵君(1962- ),男,教授,研究方向为模糊神经网络与模糊系统分析. E-mail:tjwgj@126.com E-mail:tjwgj@126.com
作者简介:索春凤(1990- ),女,硕士研究生,研究方向为模糊神经网络与模糊系统. E-mail:1242362420@qq.com
基金资助:
国家自然科学基金资助项目(61374009)

Potential influence of maximum interactive number on non-homogeneous T-S fuzzy system

SUO Chun-feng, WANG Gui-jun

School of Mathematics Sciences, Tianjin Normal University, Tianjin 300387, China

Received:2014-12-01 Online:2015-08-20 Published:2015-07-31

摘要/Abstract

摘要： 最大交互数是描述模糊系统前件模糊集的疏密程度,它在各类模糊系统逼近性的实现问题中具有重要意义.首先引入分片线性函数(PLF)和最小推理机重新建立非齐次T-S模糊系统.其次,基于几何直观阐述了最大交互数对该系统的影响,并通过改变最大交互数和随机选取样本点对该系统实际输出实施近似计算.结果表明,剖分数一定时最大交互数对非齐次T-S模糊系统内部结构和取值都具有潜在影响.

关键词: 最大交互数, 分片线性函数, 非齐次T-S模糊系统

Abstract: Maximum interactive number is to describe the degree of density of the antecedent fuzzy sets. It is very important to the approximation problem of all kinds of fuzzy systems. Firstly, the non-homogeneous T-S fuzzy system is established by introducing piecewise linear function (PLF) and minimum inference engine again. Secondly, the effects of the maximum interactive number to this fuzzy system are explained based on the geometric intuitiveness, and the actual output value of the system can be calculated by changing maximum interactive number and randomly selecting sample points. The results show that the internal structure and values of the non-homogeneous T-S fuzzy system have potential influence to the maximum interactive number when the subdivision number is not changed.

Key words: maximum interactive number, piecewise linear function, non-homogeneous T-S fuzzy system

中图分类号:

TP183

索春凤, 王贵君. 最大交互数对非齐次T-S模糊系统的潜在影响[J]. 山东大学学报（理学版）, 2015, 50(08): 14-19.

SUO Chun-feng, WANG Gui-jun. Potential influence of maximum interactive number on non-homogeneous T-S fuzzy system[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(08): 14-19.

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最大交互数对非齐次T-S模糊系统的潜在影响

Potential influence of maximum interactive number on non-homogeneous T-S fuzzy system

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