Computer Science ›› 2025, Vol. 52 ›› Issue (7): 75-81.doi: 10.11896/jsjkx.240500086

• Computer Software • Previous Articles     Next Articles

TSK Fuzzy System Enhanced by TSVR with Cooperative Parameter Optimization

WANG Wei, ZHAO Yunlong, PENG Xiaoyu, PAN Xiaodong   

  1. School of Mathematics, Southwest Jiaotong University, Chengdu 611756, China
  • Received:2024-05-21 Revised:2024-09-05 Published:2025-07-17
  • About author:WANG Wei,born in 1999,postgra-duate.Her main research in-terest is fuzzy mathematics and its application.
    PAN Xiaodong,born in 1979,Ph.D,associate professor,Ph.D supervisor.His main research interests include fuzzy information processing,fuzzy set theory and so on.
  • Supported by:
    National Natural Science Fundation of China(12301595,62106206).

Abstract: As a special nonlinear regression system,the Takagi-Sugeno-Kang (TSK) fuzzy system can solve machine learning tasks,but its effect on high-dimensional problems is not ideal,and it is difficult to determine and adjust the rules.In order to optimize the system,the fuzzy “IF-THEN” rule is followed.Firstly,the fuzzy clustering algorithm is used to divide the dataset,and the data points are mapped to the space representing the membership degree from the point to the fuzzy clustering center.Secondly,the twin support vector regression machine (TSVR) is used to determine the two regression planes to obtain the regression values.Considering that different datasets adapt to different key parameters such as cluster number,the genetic algorithm (GA) is used to optimize multiple parameters at the same time,which simplifies the prior setting of domain knowledge.All of the above processes are called as TSVR-GA-TSK fuzzy system (TG-TSK).Experimental results show that compared with the classical regression algorithms and the typical TSK fuzzy systems,the TG-TSK fuzzy system has good regression accuracy and robustness,and has a significant advantage in the pairwise comparison of Nemenyi test.

Key words: Takagi-Sugeno-Kang(TSK) fuzzy system, Twin support vector regression machine, Genetic algorithm, Cooperative optimization, Regression task

CLC Number: 

  • TP273.4
[1]SUGENO M,KANG G T.Structure identification of fuzzy mo-del[J].Fuzzy Sets and Systems,1988,28(1):15-33.
[2]WANG L X.Fuzzy System and Fuzzy Control Course[M].Beijing:Tsinghua University Press,2003.
[3]CAI Q F,HAO Z F,LIU W.TSK Fuzzy System based on Fuzzy Partition and Support Vector Machine[J].Pattern Recognition and Artificial Intelligence,2009(3):411-416.
[4]LIANG Y M,SU F,LI Q,et al.Self-organization algorithm of T-S Fuzzy model based on support vector Machine regression and its application[J].Acta Automatica Sinica,2013,39(12):2143-2149.
[5]CHEN S G,WU X J.A new fuzzy twin support vector machine for pattern classification[J].International Journal of Machine Learning and Cybernetics,2018,9:1553-1564.
[6]JIANG Y Z,HUA L,ZHANG Q,et al.Multi-task TSK fuzzy system model driven by multi-task fuzzy clustering[J].Chinese Journal of Applied Sciences,2019,38(5):742-760.
[7]ZHOU T,DENG Z H,JIANG Y Z,et al.Multi-module TSKfuzzy system based on training space reconstruction[J].Journal of Software,2020,31(11):3506-3518.
[8]LOU Q,DENG Z,XIAO Z,et al.Multilabel Takagi-Sugeno-Kang Fuzzy System[J].IEEE Transactions on Fuzzy Systems,2021,30(9):3410-3425.
[9]GUO F,LIU J,LI M,et al.A concise TSK fuzzy ensemble classifier integrating dropout and bagging for high-dimensional problems[J].IEEE Transactions on Fuzzy Systems,2021,30(8):3176-3190.
[10]GU X Q,NI T G,ZHANG C,et al.Probabilistic TSK fuzzy system for collaborative Learning of structure Identification and parameter Optimization[J].Acta Automatica Sinica,2021,47(2):349-362.
[11]BRIKH L,GUENOUNOU O,BAKIR T.Selection of minimum rules from a fuzzy TSK model using a PSO-FCM combination[J].Journal of Control,Automation and Electrical Systems,2023,34(2):384-393.
[12]PENG X.TSVR:An efficient twin support vector machine for regression[J].Neural Networks,2010,23(3):365-372.
[13]LI H.Statistical Learning Methods(2nd Ed.)[M].Beijing:Tsinghua University Press,2012.
[14]OPTIMIZATION S M.A fast algorithm for training supportvector machines[J].CiteSeerX,1998,10(1.43):4376.
[15]BURGES C J C.A tutorial on support vector machine for pattern recognition[J].Data Mining and Knowledge Discovery,1998,2(2):955-974.
[16]XU B Y,GU B J,PAN F,et al.Weighted smooth projection twin support vector regression algorithm[J].Computer Engineering,2022,48(12):104-111,118.
[17]DEMSAR J.Statistical comparisons of classifiers over multiple data sets[J].Journal of Machine Learning Research,2006,7(1):1-30.
[1] HUANG Ao, LI Min, ZENG Xiangguang, PAN Yunwei, ZHANG Jiaheng, PENG Bei. Adaptive Hybrid Genetic Algorithm Based on PPO for Solving Traveling Salesman Problem [J]. Computer Science, 2025, 52(6A): 240600096-6.
[2] WANG Sitong, LIN Rongheng. Improved Genetic Algorithm with Tabu Search for Asynchronous Hybrid Flow Shop Scheduling [J]. Computer Science, 2025, 52(4): 271-279.
[3] HUANG Fei, LI Yongfu, GAO Yang, XIA Lei, LIAO Qinglong, DAI Jian, XIANG Hong. Scheduling Optimization Method for Household Electricity Consumption Based on Improved Genetic Algorithm [J]. Computer Science, 2024, 51(6A): 230600096-6.
[4] XU Haitao, CHENG Haiyan, TONG Mingwen. Study on Genetic Algorithm of Course Scheduling Based on Deep Reinforcement Learning [J]. Computer Science, 2024, 51(6A): 230600062-8.
[5] LI Zhibo, LI Qingbao, LAN Mingjing. Method of Generating Test Data by Genetic Algorithm Based on ART Optimal Selection Strategy [J]. Computer Science, 2024, 51(6): 95-103.
[6] WANG Baocai, WU Guowei. Feature-weighted Counterfactual Explanation Method:A Case Study in Credit Risk Control Scenarios [J]. Computer Science, 2024, 51(12): 259-268.
[7] JIANG Yibo, ZHOU Zebao, LI Qiang, ZHOU Ke. Optimization of Low-carbon Oriented Logistics Center Distribution Based on Genetic Algorithm [J]. Computer Science, 2024, 51(11A): 231200035-6.
[8] ZHONG Linhui, YANG Chaoyi, XIA Zihao, HUANG Qixuan, QU Qiaoqiao, LI Fangyun, SUN Wenbin. Style-oriented Software Architecture Evolution Path Generation Method [J]. Computer Science, 2024, 51(11A): 240100130-9.
[9] HAN Huijian, LIU Kexin, LIN Xue. Air Quality Fuzzy Cognitive Map Forecasting Based on Niche Genetic Algorithm [J]. Computer Science, 2024, 51(11A): 240300120-6.
[10] LIU Xuanyu, ZHANG Shuai, HUO Shumin, SHANG Ke. Microservice Moving Target Defense Strategy Based on Adaptive Genetic Algorithm [J]. Computer Science, 2023, 50(9): 82-89.
[11] LIU Ziwen, YU Lijuan, SU Yixing, ZHAO Yao, SHI Zhu. Test Case Generation Based on Web Application Front-end Behavior Model [J]. Computer Science, 2023, 50(7): 18-26.
[12] LI Kun, GUO Wei, ZHANG Fan, DU Jiayu, YANG Meiyue. Adversarial Malware Generation Method Based on Genetic Algorithm [J]. Computer Science, 2023, 50(7): 325-331.
[13] REN Gaoke, MO Xiuliang. Network Security Situation Assessment for GA-LightGBM Based on PRF-RFECV Feature Optimization [J]. Computer Science, 2023, 50(6A): 220400151-6.
[14] ZHANG Zelun, YANG Zhibin, LI Xiaojie, ZHOU Yong, LI Wei. Machine Learning Based Environment Assumption Automatic Generation for Compositional Verification of SCADE Models [J]. Computer Science, 2023, 50(6): 297-306.
[15] ZHONG Jialin, WU Yahui, DENG Su, ZHOU Haohao, MA Wubin. Multi-objective Federated Learning Evolutionary Algorithm Based on Improved NSGA-III [J]. Computer Science, 2023, 50(4): 333-342.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!