[1]
|
Liu P Y, Li H X. Approximation of generalized fuzzy system to integrable function. Science in China (Series E), 2000, 43(6): 618-628
|
[2]
|
Liu P Y, Li H X. Analyses for Lp(μ)-norm approximation capability of generalized Mamdani fuzzy systems. Information Sciences, 2001, 138(1-4): 195-210
|
[3]
|
Zeng Ke, Zhang Nai-Rao, Xu Wen-Li. Sufficient condition for linear T-S fuzzy systems as universal approximators. Acta Automatica Sinica, 2001, 27(5): 606-612(曾珂, 张乃尧, 徐文立. 线性T-S模糊系统作为通用逼近器的充分条件. 自动化学报, 2001, 27(5): 606-612)
|
[4]
|
Tang Shao-Xian, Chen Jian-Er, Zhang Tai-Shan. Mamdani fuzzy system I/O relation representative and membership function optimization. Control Theory and Applications, 2005, 22(4): 520-526(唐少先, 陈建二, 张泰山. Mamdani模糊系统I/O关系的表示及隶属函数优化. 控制理论与应用, 2005, 22(4): 520-526)
|
[5]
|
Zhang Yu-Zhuo, Li Hong-Xing. Generalized hierarchical Mamdani fuzzy systems and their universal approximation. Control Theory and Application, 2006, 23(3): 449-454(张宇卓, 李洪兴. 广义递阶Mamdani模糊系统及其泛逼近性. 控制理论与应用, 2006, 23(3): 449-454)
|
[6]
|
Sun Fu-Chun, Yang Jin, Liu Hua-Ping. Preconditions for SISO Mamdani fuzzy systems to perform as function approximators. CAAI Transactions on Intelligent Systems, 2009, 4(4): 288-294(孙富春, 杨晋, 刘华平. SISO Mamdani模糊系统作为函数逼近器的必要条件. 智能系统学报, 2009, 4(4): 288-294)
|
[7]
|
Chen Gang. On approaching precisions of standard fuzzy systems with different basic functions. Acta Automatica Sinica, 2008, 34(7): 823-827(陈刚. 关于具有不同基函数的标准模糊系统逼近问题的研究. 自动化学报, 2008, 34(7): 823-827)
|
[8]
|
Li Hong-Xing, Yuan Xue-Hai, Wang Jia-Yin, Li Yu-Cheng. The normal numbers of the fuzzy systems and their classes. Science China Information Science, 2010, 53(11): 2215-2229(李洪兴, 袁学海, 王加银, 李宇成. Fuzzy系统的范数与Fuzzy系统的分类. 中国科学: 信息科学, 2010, 40(12): 1596-1610)
|
[9]
|
Yuan Xue-Hai, Li Hong-Xing, Sun Kai-Biao. Fuzzy systems and their approximation capability based on parameter singleton fuzzifier methods. Acta Electronica Sinica, 2011, 39(10): 2372-2377(袁学海, 李洪兴, 孙凯彪. 基于参数单点模糊化方法的模糊系统及其逼近能力. 电子学报, 2011, 39(10): 2372-2377)
|
[10]
|
Wang Gui-Jun, Li Xiao-Ping. Universal approximation of polygonal fuzzy neural networks in sense of K-integral norms. Science China Information Science, 2011, 54(11): 2307-2323(王贵君, 李晓萍. K-积分模意义下折线模糊神经网络的泛逼近性. 中国科学: 信息科学, 2012, 42(3): 362-378)
|
[11]
|
Zhao Fen-Xia, Li Hong-Xing. Approximation of regular fuzzy neural networks to Sugeno-integrable functions. Acta Mathematicae Applicatae Sinica, 2006, 29(1): 39-45(赵芬霞, 李洪兴. 正则模糊神经网络在Sugeno积分模意义下的泛逼近性. 应用数学学报, 2006, 29(1): 39-45)
|
[12]
|
Wang Gui-Jun, Li Dan. Capability of universal approximation of feedforward regular fuzzy neural networks in K-integral norm. Acta Mathematicae Applicatae Sinica, 2013, 36(1): 141-152(王贵君, 李丹. 前向正则模糊神经网络依K-积分模的泛逼近能力. 应用数学学报, 2013, 36(1): 141-152)
|
[13]
|
Wang Gui-Jun, Duan Chen-Xia. Generalized hierarchical hybrid fuzzy system and its universal approximation. Control Theory and Application, 2012, 29(5): 673-680(王贵君, 段晨霞. 广义分层混合模糊系统及其泛逼近性. 控制理论与应用, 2012, 29(5): 673-680)
|
[14]
|
Sugeno M, Murofushi T. Pseudo-additive measures and integrals. Journal of Mathematical Analysis and Applications, 1987, 122(1): 197-222
|
[15]
|
Wang Gui-Jun, Li Xiao-Ping. K-quasi-additive fuzzy number valued integral and its convergence. Advances in Mathematics, 2006, 35(1): 109-119(王贵君, 李晓萍. K-拟可加模糊数值积分及其收敛性. 数学进展, 2006, 35(1): 109-119)
|
[16]
|
Duan Chen-Xia, Wang Gui-Jun. Universal approximation of square pricewise linear functions in K-integral norms in fuzzy system. Journal of Tianjin Normal University (Natural Science Edition), 2012, 32(3): 13-16(段晨霞, 王贵君. 模糊系统中方形分片线性函数依K-积分模的泛逼近性. 天津师范大学学报(自然科学版), 2012, 32(3): 13-16)
|