数学与计算机科学 |
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高维分层混合模糊系统的规则缩减及逼近性假设检验 |
王贵君1, 段晨霞2, 张德利3 |
1. 天津师范大学 数学科学学院, 天津 300387; 2. 天津市南开区咸阳路小学, 天津 300110; 3. 吉林省教育学院 信息中心, 吉林 长春 130022 |
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Reduction of the number of rules of high-dimensional hybrid fuzzy system and its hypothesis test of the approximation |
WANG Guijun1, DUAN Chenxia2, ZHANG Deli3 |
1. School of Mathematics Science, Tianjin Normal University, Tianjin 300387, China; 2. Xianyang Road Primary School, Nankai District, Tianjin 300110, China; 3. Information Center, Jilin Provincial Institute of Education, Changchun 130022, China |
[1] RAJU G V S, ZHOU J, KISNER R A. Hierarchical fuzzy control[J]. International J Control,1991,54(5):1201-1216. [2] WANG L X. Universal approximation by hierarchical fuzzy systems[J]. Fuzzy Set and Systems,1998,93(1):223-230. [3] LIU P Y, LI H X. Hierarchical T-S fuzzy system and its universal approximation[J].Information Sciences,2005,169(3):279-303. [4] 杜新宇,张乃尧.二叉树型分层模糊系统的等效性分析[J].清华大学学报:自然科学版,2004,44(7):33-36. DU X Y, ZHANG N Y. Equivalence analysis of binary tree-type hierarchical fuzzy systems[J]. Journal of Tsinghua University:Natural Science,2004,44(7):33-36. [5] 王贵君,段晨霞.广义分层混合模糊系统及其泛逼近性[J].控制理论与应用,2012,29(5):673-680. WANG G J, DUAN C X. Generalized hierarchical hybrid fuzzy systems and their universal approximation[J]. Control Theory & Applications,2012,29(5):673-680. [6] 朱晓东,王杰.一种新型分层模糊系统及其逼近性能[J].控制与决策,2013,28(10):1559-1563. ZHU X D, WANG J. A new type of hierarchical fuzzy system and its approximation performance[J]. Control and Decision,2013,28(10):1559-1563. [7] 王贵君,宋巍巍,韩权杰.基于后件直联型分层的广义混合模糊系统及其积分模逼近[J].控制与决策,2015,30(10):1742-1750. WANG G J, SONG W W, HAN Q J. Generalized hybrid fuzzy system based on consequent direct link type hierarchy and its integral norm approximation[J]. Control and Decision,2015,30(10):1742-1750. [8] 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(8):14-19. SUO C F, WANG G J. The potential influence of maximum interactive number to non-homogeneous T-S fuzzy system[J]. Journal of Shandong University:Science Edition,2015,50(8):14-19. |
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