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Efficiency of FOREX automatic trading system via technical indicator depends on suitability of its parameters. Using parameter forecasting with fuzzy time series is a simple and efficient solution. But its effectiveness depends on the similarities of the time series pattern to learn and to forecast which represent in the form of fuzzy relationship. This paper presents a method for time-varying fuzzy relationship. The forgetting factor allows the system to perform better in all time periods. Effects of the length of time series on forecasting the performance of the system, as well as those of profits derived from various methods on predicting the trading decisions in real markets are studied.