|
|
|
| Fuzzy Systems Based on POFI Method and Their Response Ability |
| PENG JiaYin |
| Key Laboratory of Numerical Simulation of Sichuan Province, Department of Mathematics, Neijiang Normal University, Neijiang, 64112 |
|
|
|
|
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.
|
|
Received: 19 March 2007
|
|
|
|
|
|
[1] Li Hongxing. Interpolation Mechanism of Fuzzy Control. Science in China: Series E, 1998, 28(3): 259267 (in Chinese)
(李洪兴.模糊控制的插值机理.中国科学:E辑, 1998, 28(3): 259267)
[2] Wang Guojun. New Method for Fuzzy Reasoning. Fuzzy Systems and Mathematics, 1999, 13(3): 110 (in Chinese)
(王国俊.模糊推理的一个新方法.模糊系统与数学, 1999, 13(3): 110)
[3] Wang Guojun. Full Implication Triple I Algorithms for Fuzzy Reasoning. Science in China: Series E, 1999, 29(1): 4353 (in Chinese)
(王国俊.模糊推理的全蕴涵三I算法.中国科学:E辑, 1999, 29(1): 4353)
[4] Li Hongxing, Peng Jiayin, Wang Jiayin, et al. Fuzzy Systems Based on Triple I Algorithm and Their Response Ability. Journal of Systems Science and Mathematical Sciences, 2006, 26(5): 578590 (in Chinese)
(李洪兴,彭家寅,王加银,等.基于三I算法的模糊系统及其响应性能.系统科学与数学, 2006, 26(5): 578590)
[5] Hou Jian, You Fei, Li Hongxing. Some Fuzzy Controllers Structured by Triple I Algorithm and Its Response Ability. Progress in Nature Science, 2005, 15(1): 2937 (in Chinese)
(侯 健,尤 飞,李洪兴.由三I算法构造的一些模糊控制器及其响应能力. 自然科学进展, 2005, 15(1): 2937)
[6] Peng Jiayin, Li Hongxing, Hou Jian, et al. Fuzzy Controllers Based on Pointwise Optimization Fuzzy Inference and Its Interpolation Mechanism. Journal of Systems Science and Mathematical Sciences, 2005, 25(3): 311322 (in Chinese)
(彭家寅,李洪兴,侯 健,等.基于逐点优化模糊推理的模糊控制器及其插值机理.系统科学与数学, 2005, 25(3): 311322)
[7] Li Hongxing. Fuzzy Perturbation Analysis, Part 2: Undirectional Perturbation. Fuzzy Sets and Systems, 1986, 19(2): 165175
[8] Li Yongming, Li Sanjiang. A Fuzzy Set Theoretic Approach to Approximate Spatial Reasoning.IEEE Trans on Fuzzy Systems, 2004, 12(6): 745754
[9] Li Yongming, Shi Zhongke, Li Zhihui. Approximation Theory of Fuzzy Systems Based upon Genuine ManyValued Implications-SISO Cases.Fuzzy Sets and Systems, 2002, 130(2): 147157 |
|
|
|
2008, Vol. 21 
