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## Analysis of structure and rule numbers for binary tree-type hierarchy generalized hybrid fuzzy systems

YANG Yang;YANG Yongqiang;WANG Guijun;College of Mathematical Science,Tianjin Normal University;
Fuzzy systems are usually composed of input variables,the inference rules and output. However,with the increasing numbers of input variables,the total of inference rules of the systems will increase exponentially to cause rules′explosion. So it is necessary to adopt the method of reducing the total number of rules. Firstly,the paper analyzes the structure of binary tree-type hierarchy generalized hybrid fuzzy systems. Secondly,the total rules in no-hierarchical system and hierarchical system are compared and analyzed based on generalized inference rules and the counting formula. It shows that the increasing rate of total of inference rules in hierarchical generalized hybrid fuzzy system is far below that of no-hierarchical system,and the rules′ explosion is effectively avoided.
【Fund】： 国家自然科学基金资助项目(61374009)
【CateGory Index】： O159;TP18
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 【Citations】
 Chinese Journal Full-text Database 6 Hits
 1 DUAN Chen-xia,WANG Gui-jun College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China;Universal approximation of square pricewise linear functions in K-integral norms in fuzzy system[J];天津师范大学学报(自然科学版);2012-03 2 WANG Gui-jun,DUAN Chen-xia (School of Mathematics Sciences,Tianjin Normal University,Tianjin 300387,China);Generalized hierarchical hybrid fuzzy system and its universal approximation[J];控制理论与应用;2012-05 3 TANG Jin-jun,CAO Kai(School of Traffic and Vehicle Engineering,Shandong University of Technology,Zibo 255049,China);Hierarchical fuzzy controller based map-matching algorithm[J];山东大学学报(工学版);2008-04 4 WANG Jie LI Guang ZHU Xiao-dong(College of Electrical Engineering,Zhengzhou University,Zhengzhou 450001,China);Development of an Oil Drilling Accident Prewarning System Based on Hierarchical fuzzy inference[J];微计算机信息;2008-21 5 ZHANG Xiangyan,ZHANG Naiyao(Department of Automation,Tsinghua University,Beijing 100084,China);Universal approximation of general binary tree-type hierarchical fuzzy systems[J];清华大学学报(自然科学版);2007-01 6 Liu Puyin Li Hongxing (Department of Mathematics, Beijing Normal University, 100875, Beijing, China);EQUIVALENCE OF GENERALIZED TAKAGI-SUGENO FUZZY SYSTEM AND ITS HIERARCHICAL SYSTEMS[J];北京师范大学学报(自然科学版);2000-05
 【Co-citations】
 Chinese Journal Full-text Database 10 Hits
 1 WANG Jie;LI Lu;School of Electrical Engineering,Zhengzhou University;;Multimode Kernel Principal Component Analysis Method of Drilling Process Fault Detection[J];郑州大学学报(理学版);2015-04 2 TAO Yu-jie;WANG Hong-zhi;WANG Gui-jun;College of Mathematics,Tonghua Normal University;College of Mathematics Sciences,Tianjin Normal University;;Approximation Ability and Its Realization of the Generalized Mamdani Fuzzy System in the Sense of Kp-Integral Norm[J];电子学报;2015-11 3 WANG Hongzhi;TAO Yujie;WANG Guijun;School of Mathematics,Tonghua Normal University;School of Mathematics Sciences,Tianjin Normal University;;APPROXIMATION ANALYSIS OF NONHOMOGENEOUS LINEAR T-S FUZZY SYSTEM BASED ON GRID PIECEWISE LINEAR FUNCTION STRUCTURE[J];系统科学与数学;2015-11 4 ZHANG Guoying;WANG Guijun;School of Mathematics Sciences,Tianjin Normal University;;Approximation of nonlinear T-S fuzzy system to p-integrable functions based on the triangular fuzzifier[J];浙江大学学报(理学版);2015-05 5 SUO Chun-feng;WANG Gui-jun;School of Mathematics Sciences,Tianjin Normal University;;Potential influence of maximum interactive number on non-homogeneous T-S fuzzy system[J];山东大学学报(理学版);2015-08 6 Han Yingjiang;Department of Information Engineering,Henan Technical College of Construction;;ON OPTIMISING FUZZY RULES OF COUPLED HYBRID DISTRIBUTION ESTIMATION ALGORITHM WITH CH-COR JOINT MECHANISM[J];计算机应用与软件;2015-08 7 SHEN Jingwei;ZHOU Tinggang;ZHANG Hongtao;School of Geographical Sciences,Southwest University;Sichuan Geomatics Center;;A Map-Matching Algorithm Based on Improved AOE Network for Low Frequency Floating Car Data[J];西南交通大学学报;2015-03 8 WANG Gui-jun;SONG Wei-wei;HAN Quan-jie;School of Mathematics Sciences,Tianjin Normal University;Academy of Mathematics and Systems Science,Chinese Academy of Sciences;;Generalized hybrid fuzzy system based on consequent direct link type hierarchy and its integral norm approximation[J];控制与决策;2015-10 9 WANG Wenqing;YANG Zhenxin;TANG Xuan;School of Automation,Xi'an University of Posts and Telecommunications;;Survey of progress in fuzzy systems as universal approximator[J];西安邮电大学学报;2015-01 10 WANG Xin-hao;LUO Yun;HE Yi;XU Feng;School of Engineering &Technology,China University of Geosciences-Beijing;Bureau of Special Equipment Safety Supervision,General Administration of Quality Supervision,Inspection and Quarantine of the People's Republic of China;;Research on method of risk pre-warning and control decision when transfering function of government safety supervision of special equipment[J];中国安全科学学报;2014-12
 【Secondary Citations】
 Chinese Journal Full-text Database 10 Hits
 1 WANG GuiJun1&LI XiaoPing2 1 School of Mathematics Science,Tianjin Normal University,Tianjin 300387,China; 2 School of Management,Tianjin Normal University,Tianjin 300387,China;Universal approximation of polygonal fuzzy neural networks in sense of K-integral norms[J];中国科学:信息科学;2012-03 2 ZHAO Wei-jing~1,WANG Gui-jun~2,LI Hong-xing~1 (1.Faculty of Electronic Information and Electrical Engineering,Dalian University of Technology,Dalian 116024,China; 2.School of Mathematics Science,Tianjin Normal University,Tianjin 300387,China);Dualμ-integrability problems on fuzzy number valued functions and its application[J];系统工程理论与实践;2011-01 3 WANG GUIJUN (School of Mathematics Science,Tianjin Normal University,Tianjin 300387) LI XIAOPING (School of Management,Tianjin Normal University,Tianjin 300387) ZHOU LIQUN (School of Mathematics Science,Tianjin Normal University,Tianjin 300387);The Pseudo-Autocontinuity and Structural Characteristics of K-Quasi-additive Fuzzy Number Valued Integrals[J];应用数学学报;2010-01 4 XIAO Xiao-shi, MAO Zhi-zhong, YUAN Ping (Automation Institute, College of Information Science and Technology, Northeastern University, Shenyang Liaoning 110004, China);Construction of T-S fuzzy system and the sufficient condition of its approximation ability[J];控制理论与应用;2009-08 5 ZHANG Yu-zhuo,LI Hong-xing(School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China);Generalized hierarchical Mamdani fuzzy systems and their universal approximation[J];控制理论与应用;2006-03 6 Wu Junjie No. 3 Research Section, China Radio Wave Propagation Institute. No. 19, Qingda 1 Road, Qingdao City, Shandong Province, 266071, China;Monitoring and pre-warning method study on drilling engineering accidents[J];录井工程;2006-01 7 Sun Dihua Zhang Xingxia Zhang Zhiliang (College of Automation,Chongqing University,Chongqing 400044);Map Matching Technology and its Application in ITS[J];计算机工程与应用;2005-20 8 WANG Gui-jun, LI Xiao-ping(College of Mathematics Science, Tianjin Normal University, Tianjin 300074, China);Null-Additivity and Absolute Continuity of K-quasi-Additive Fuzzy Number Valued Integrals[J];系统工程理论与实践;2005-01 9 SUN Duo_qing, HUO Wei, YANG Xiao(The Seventh Research Division,Beijing University of Aeronautics and Astronautics,Beijing 100083,China);Path following control of mobile robots with model uncertaintybased on hierarchical fuzzy systems[J];控制理论与应用;2004-04 10 SUN Duo-qing, HUO Wei (The Seventh Research Division, Beijing University of Aeronautics and Astronautics, Beijing 100083,China);Study on universal approximation of hierarchical fuzzy systems with arbitrary membership functions[J];控制理论与应用;2003-03
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