基于POFI方法的模糊系统及其响应性能<sup>*</sup>

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摘要用逐点模糊优化推理方法(POFI),详细讨论基于6个常见蕴涵算子的模糊系统及其响应函数. 首先分别给出基于POFI方法的这些蕴涵算子的FMP算法中寻求推理后件(或前件)的计算表达式.然后指出基于POFI方法的这6个蕴涵算子模糊控制算法均非插值方法,其模糊控制器均只具有阶跃输出功能,而无函数逼近的泛性.

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	彭家寅

关键词 ：模糊控制, 逐点模糊优化推理方法(POFI), 模糊蕴涵算子, 响应函数, 泛逼近性

Abstract：Using the pointwise optimization fuzzy inference method (POFI), fuzzy systems and their response functions are studied based on 6 commonly used fuzzy implication operators. How to implement FMP algorithm and FMT algorithm with these fuzzy implication operators is presented on the basis of POFI method respectively. Then, it is pointed out that fuzzy systems based on POFI method with 6 fuzzy implication operators have no interpolation property, and their fuzzy controllers only have step output property. Furthermore, they are not universal approximators.

Key words： Fuzzy Control Pointwise Optimization Fuzzy Inference Method (POFI) Fuzzy Implication Operator Response Function Universal Approximation

收稿日期: 2007-03-19

ZTFLH:

TP13

基金资助:四川省科技厅重点资助项目(No.2006J13035)

作者简介: 彭家寅,男,1962年生,教授,主要研究方向为模糊数学与人工智能.E-mail:pengjiayin@njtc.edu.cn.

引用本文:

彭家寅. 基于POFI方法的模糊系统及其响应性能^*[J]. 模式识别与人工智能, 2008, 21(2): 129-135. PENG JiaYin. Fuzzy Systems Based on POFI Method and Their Response Ability. , 2008, 21(2): 129-135.

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http://manu46.magtech.com.cn/Jweb_prai/CN/ 或 http://manu46.magtech.com.cn/Jweb_prai/CN/Y2008/V21/I2/129

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