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Advances in Fuzzy Systems
Volume 2012, Article ID 785709, 6 pages
Research Article

A New Time-Invariant Fuzzy Time Series Forecasting Method Based on Genetic Algorithm

Department of Statistics, Faculty of Arts and Science, University of Ondokuz Mayıs, 55139 Samsun, Turkey

Received 8 April 2012; Revised 3 May 2012; Accepted 13 May 2012

Academic Editor: Ferdinando Di Martino

Copyright © 2012 Erol Eğrioğlu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In recent years, many fuzzy time series methods have been proposed in the literature. Some of these methods use the classical fuzzy set theory, which needs complex matricial operations in fuzzy time series methods. Because of this problem, many studies in the literature use fuzzy group relationship tables. Since the fuzzy relationship tables use order of fuzzy sets, the membership functions of fuzzy sets have not been taken into consideration. In this study, a new method that employs membership functions of fuzzy sets is proposed. The new method determines elements of fuzzy relation matrix based on genetic algorithms. The proposed method uses first-order fuzzy time series forecasting model, and it is applied to the several data sets. As a result of implementation, it is obtained that the proposed method outperforms some methods in the literature.