Multi-attribute fuzzy time series method based on fuzzy clustering

Traditional time series methods can predict the seasonal problem, but fail to forecast the problems with linguistic value. An alternative forecasting method such as fuzzy time series is utilized to deal with these kinds of problems. Two shortcomings of the existing fuzzy time series forecasting methods are that they lack persuasiveness in determining universe of discourse and the length of intervals, and that they lack objective method for multiple-attribute fuzzy time series. This paper introduces a novel multiple-attribute fuzzy time series method based on fuzzy clustering. The methods of fuzzy clustering are integrated in the processes of fuzzy time series to partition datasets objectively and enable processing of multiple attributes. For verification, this paper uses two datasets: (1) the yearly data on enrollments at the University of Alabama, and (2) the Taiwan Stock Exchange Capitalization Weighted Stock Index (TAIEX) futures. The forecasting results show that the proposed method can forecast not only one-attribute but also multiple-attribute data effectively and outperform the listing methods.

[1]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[2]  Hui-Kuang Yu Weighted fuzzy time series models for TAIEX forecasting , 2005 .

[3]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[4]  Chao-Chih Tsai,et al.  Forecasting enrolments with high-order fuzzy time series , 2000, PeachFuzz 2000. 19th International Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.00TH8500).

[5]  Shyi-Ming Chen,et al.  Temperature prediction using fuzzy time series , 2000, IEEE Trans. Syst. Man Cybern. Part B.

[6]  K. Huarng,et al.  A Type 2 fuzzy time series model for stock index forecasting , 2005 .

[7]  Hui-Kuang Yu A refined fuzzy time-series model for forecasting , 2005 .

[8]  Ching-Hsue Cheng,et al.  Entropy-based and trapezoid fuzzification-based fuzzy time series approaches for forecasting IT project cost , 2006 .

[9]  Shyi-Ming Chen,et al.  Forecasting enrollments based on fuzzy time series , 1996, Fuzzy Sets Syst..

[10]  Kunhuang Huarng,et al.  Ratio-Based Lengths of Intervals to Improve Fuzzy Time Series Forecasting , 2006, IEEE Trans. Syst. Man Cybern. Part B.

[11]  George E. P. Box,et al.  Time Series Analysis: Forecasting and Control , 1977 .

[12]  Pierre Giot,et al.  Modelling daily value-at-risk using realized volatility and arch type models , 2001 .

[13]  B. Chissom,et al.  Forecasting enrollments with fuzzy time series—part II , 1993 .

[14]  Ioannis A. Venetis,et al.  Non-linearity in stock index returns: the volatility and serial correlation relationship , 2005 .

[15]  W. Woodall,et al.  A comparison of fuzzy forecasting and Markov modeling , 1994 .

[16]  Shyi-Ming Chen,et al.  Handling forecasting problems using fuzzy time series , 1998, Fuzzy Sets Syst..

[17]  Berlin Wu,et al.  A New Approach Of Bivariate Fuzzy Time Series Analysis To The Forecasting Of A Stock Index , 2003, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[18]  Michael McAleer,et al.  Non-linear modelling and forecasting of S&P 500 volatility , 2002, Math. Comput. Simul..

[19]  Kunhuang Huarng,et al.  Effective lengths of intervals to improve forecasting in fuzzy time series , 2001, Fuzzy Sets Syst..

[20]  F. Morabito,et al.  Fuzzy time series approach for disruption prediction in Tokamak reactors , 2003 .

[21]  G. A. Miller THE PSYCHOLOGICAL REVIEW THE MAGICAL NUMBER SEVEN, PLUS OR MINUS TWO: SOME LIMITS ON OUR CAPACITY FOR PROCESSING INFORMATION 1 , 1956 .

[22]  James C. Bezdek,et al.  Pattern Recognition with Fuzzy Objective Function Algorithms , 1981, Advanced Applications in Pattern Recognition.

[23]  Kunhuang Huarng,et al.  Heuristic models of fuzzy time series for forecasting , 2001, Fuzzy Sets Syst..

[24]  B. Chissom,et al.  Fuzzy time series and its models , 1993 .