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PSO-based high order time invariant fuzzy time series method: Application to stock exchange data
Institution:1. Glorious Sun School of Business and Management, DongHua University, Shanghai 200051, China;2. School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;3. Antai College of Economics & Management, Shanghai Jiao Tong University, Shanghai 200052, China;1. Center for Future Media, School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu, China;2. Research Center for Advanced Science and Technology, The University of Tokyo, Japan
Abstract:Fuzzy time series methods are effective techniques to forecast time series. Fuzzy time series methods are based on fuzzy set theory. In the early years, classical fuzzy set operations were used in the fuzzy time series methods. In recent years, artificial intelligence techniques have been used in different stages of fuzzy time series methods. In this paper, a novel fuzzy time series method which is based on particle swarm optimization is proposed. A high order fuzzy time series forecasting model is used in the proposed method. In the proposed method, determination of fuzzy relations is performed by estimating the optimal fuzzy relation matrix. The performance of the proposed method is compared to some methods in the literature by using three real world time series. It is shown that the proposed method has better performance than other methods in the literature.
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