SHI Jianzhong, HAN Pu, WANG Dongfeng, JIAO Songming. A Hybrid Clustering Algorithm for Fuzzy Functions System Identification[J]. INFORMATION AND CONTROL, 2011, 40(3): 387-392,400.
Citation: SHI Jianzhong, HAN Pu, WANG Dongfeng, JIAO Songming. A Hybrid Clustering Algorithm for Fuzzy Functions System Identification[J]. INFORMATION AND CONTROL, 2011, 40(3): 387-392,400.

A Hybrid Clustering Algorithm for Fuzzy Functions System Identification

More Information
  • Received Date: August 02, 2010
  • Revised Date: March 03, 2011
  • Published Date: June 19, 2011
  • A fuzzy function system identification algorithm based on hybrid clustering method is proposed on account of the problems of uncertain structure and parameter identification complexity of conventional fuzzy system.Compared with general fuzzy function systems,the new algorithm combines with the sample distance of fuzzy C-means and fuzzy C-regression model.In model prediction section,the membership degree of each input variable is computed by Gaussian function,and the input vector's membership degree is obtained by the fuzziness operator of input variable's membership degree.The algorithm is applied separately to Box-Jenkins gas furnace data,a double entry single output nonlinear system and Mackey-Glass chaotic time series.Experimental results show that this algorithm has good identification effect,which validates the effectiveness and practicability of the algorithm.
  • [1]
    Zadeh L A.Outline of a new approach to the analysis of complex systems and decision processes[J].IEEE Transactions on Systems,Man and Cybernetics,1973,3(1):28-44.
    [2]
    Rni X,Wunsch D Ⅱ.Survey of clustering algorithms[J].IEEE Transactions on Neural Networks,2005,16(3):645-678.
    [3]
    Bezdek J C.Pattern recognition with fuzzy objective function algorithms[M].New York,NY,USA:Springer,1981.
    [4]
    Hathaway R J,Bezdek J C.Switching regression models and fuzzy clustering[J].IEEE Transactions on Fuzzy Systems,1993,1(3):195-204.
    [5]
    Turksen I B.Fuzzy functions with LSE[J].Applied Soft Computing,2008,8(3):1178-1188.
    [6]
    Demirci M.Fuzzy functions and their fundamental properties[J].Fuzzy Sets and Systems,1999,106(2):239-246.
    [7]
    Demirci M.Foundations of fuzzy functions and vague algebra based on many-valued equivalence relations,part I:Fuzzy functions and their applications[J].International Journal of General Systems,2003,32(2):123-155.
    [8]
    Demirci M,Recasens J.Fuzzy groups,fuzzy functions and fuzzy equivalence relations[J].Fuzzy Sets and Systems,2004,144(3):441-458.
    [9]
    Celikyilmaz A,Turkse I B.Fuzzy functions with support vector machines[J].Information Sciences,2007,177(23):5163-5177.
    [10]
    Kung C C,Su J Y.T-S fuzzy modeling by FCRM clustering[C]//IEEE International Conference on Systems,Man and Cybernetics,vol.3.Piscataway,NJ,USA:IEEE,2005:2861-2866.
    [11]
    Hoppner F,Klawonn F.Improved fuzzy partitions for fuzzy regression models[J].International Journal of Approximate Reasoning,2003,32(2/3):85-102.
    [12]
    Bezdek J C.A convergence theorem for the fuzzy ISODATA clustering algorithm[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,1980,2(1):1-8.
    [13]
    Bezdek J C,Hathaway R,Sabin M J,et al.Convergence theory for fuzzy c-means:Counterexamples and repairs[J].IEEE Transactions on Systems,Man and Cybernetics,1987,17(5):873-877.
    [14]
    Ismail M A,Selim S A.Fuzzy c-means:Optimality of solutions and effective termination of the algorithm[J].Pattern Recognition,1986,19(6):481-485.
    [15]
    Box G,Jenkins G M,Reinsel G.Time series analysis,forecasting and control[M].Chichester,NY,USA:Wiley,1970.
    [16]
    Sugeno M,Yasukawa T.A fuzzy logic based approach to qualitative modeling[J].IEEE Transactions on Fuzzy Systems,1993,1(1):7-31.
    [17]
    Joo Y H,Hwang H S,Kim K B,et al.Fuzzy system modeling by fuzzy partition and GA hybrid schemes[J].Fuzzy Sets and Systems,1997,86(3):279-288.
    [18]
    Chen J Q,Xi Y G,Zhang Z J.A clustering algorithm for fuzzy model identification[J].Fuzzy Sets and Systems,1998,98(3):319-329.
    [19]
    Yoshinari Y,Pedrycz W,Hirota K.Construction of fuzzy models through clustering techniques[J].Fuzzy Sets and Systems,1993,54(2):157-165.
    [20]
    Lo J C,Yang C H.A heuristic error-feedback learning algorithm for fuzzy modeling[J].IEEE Transactions on Systems,Man and Cybernetics,Part B:Cybernetics,1999,29(6):686-691.
    [21]
    Kim E,Park M,Ji S.A new approach to fuzzy modeling[J].IEEE Transactions on Fuzzy Systems,1997,5(3):328-337.
    [22]
    Kroll A.Identification of functional fuzzy models using multidimensional reference fuzzy sets[J].Fuzzy Sets and Systems,1996,80(2):149-158.
    [23]
    Tsekouras G,Sarimveis H,Kavakli E,et al.A hierarchical fuzzy clustering approach to fuzzy modeling[J].Fuzzy Sets and Systems,2005,150(2):245-266.

Catalog

    Article views (1485) PDF downloads (318) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return