OWA based Fuzzy Time Series Forecasting Model

In this paper we have proposed Fuzzy Time Series and Ordered Weight Aggregation (OWA) based forecasting model. Accuracy is one of the most important factors when dealing with forecasts. Accuracy depends on relative weight of past observations used to predict forecasted value. Method of aggregation of past observation is important factor in forecasting models where next prediction depends only on past observations. OWA has been proved most efficient tool for aggregation of data. In this study, aggregation of fuzzy relationships generated at prior times (t, t-1, t-2) is performed using OWA to predict value at time t+1. Experimental study reveals how OWA coalesce with fuzzy time series to design forecasting model. It can be observed from comparative study that use of OWA considerably reduces Mean Square Error (MSE) and Mean Absolute Percentage Error (MAPE). KeywordsForecasting, Fuzzy, Aggregation, Time Series

[1]  Abdul Quaiyum Ansari,et al.  Fuzzy Time Series Prediction Model , 2011, ICISTM.

[2]  J. C. Porter,et al.  Fuzzy Time Series Forecasting Using Percentage Change as the Universe of Discourse , 2009 .

[3]  Ronald R. Yager,et al.  Time Series Smoothing and OWA Aggregation , 2008, IEEE Transactions on Fuzzy Systems.

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

[5]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning - II , 1975, Inf. Sci..

[6]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[7]  Tahseen Ahmed Jilani,et al.  Multivariate High Order Fuzzy Time Series Forecasting for Car Road Accidents , 2008 .

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

[9]  Abdul Quaiyum Ansari,et al.  Soft Computing Model to Predict Average Length of Stay of Patient , 2011, ICISTM.

[10]  Edward M. Knod,et al.  Operations management : meeting customers' demands , 2001 .

[11]  Shyi-Ming Chen,et al.  A New Method to Forecast Enrollments Using Fuzzy Time Series , 2004 .

[12]  Shivraj R. Singh,et al.  A computational method of forecasting based on fuzzy time series , 2008, Math. Comput. Simul..

[13]  R. Sturm,et al.  Costs and use of mental health services before and after managed care. , 1998, Health affairs.

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

[15]  Mirza Mohd. Sufyan Beg User feedback based enhancement in web search quality , 2005, Inf. Sci..

[16]  Ching-Hsue Cheng,et al.  Forecasting the number of outpatient visits using a new fuzzy time series based on weighted-transitional matrix , 2008, Expert Syst. Appl..

[17]  S. Tesfamariam,et al.  Developing environmental indices using fuzzy numbers ordered weighted averaging (FN-OWA) operators , 2008 .

[18]  Qiang Song,et al.  A NOTE ON FUZZY TIME SERIES MODEL SELECTION WITH SAMPLE AUTOCORRELATION FUNCTIONS , 2003, Cybern. Syst..

[19]  Ching-Hsue Cheng,et al.  Forecasting of ozone concentration using frequency MA-OWA model , 2009, 2009 IEEE International Conference on Systems, Man and Cybernetics.

[20]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decision-making , 1988 .