2019
DOI: 10.1142/s0218488519500120
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A New Type 2 Fuzzy Time Series Forecasting Model Based on Three-Factors Fuzzy Logical Relationships

Abstract: The study of fuzzy time series models have been extensively used to improve the accuracy rates in forecasting problems. In this paper, we present a new type 2 fuzzy time series forecasting model based on three-factors fuzzy logical relationship groups. The proposed method uses a new technique to define partitions the universe of discourse into different length of intervals for different factors. Also, the proposed method fuzzifies the historical data sets of the main factors, second factors and third factors t… Show more

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Cited by 7 publications
(4 citation statements)
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“…However, the authors point out that the integration of neural networks through the ANFIS model significantly reduces the interpretability of the created system. Researches [17,18] apply triangular fuzzy functions to the moving average prediction and the obtained forecast is implemented on the share at Bombay Stock Exchange. Paper [19] develops a fuzzy trading system integrating technical indicators on the basis of which they predict the development of the stock index.…”
Section: Theoretical Backgroundmentioning
confidence: 99%
See 1 more Smart Citation
“…However, the authors point out that the integration of neural networks through the ANFIS model significantly reduces the interpretability of the created system. Researches [17,18] apply triangular fuzzy functions to the moving average prediction and the obtained forecast is implemented on the share at Bombay Stock Exchange. Paper [19] develops a fuzzy trading system integrating technical indicators on the basis of which they predict the development of the stock index.…”
Section: Theoretical Backgroundmentioning
confidence: 99%
“…Type Problem [16] Gaussian T1FS stock index prediction [23] Triangular T2FS stock index prediction [17] Triangular T1FS stock index prediction [18] Triangular T1FS stock index prediction [19] Trapezoidal T2FS stock index prediction [20] Triangular T1FS stock index prediction [22] Bell ANFIS stock index prediction [21] Bell T1FS stock prediction [24] Triangular T1FS; T2FS stock index prediction [25] Triangular T2FS profit prediction [26] Triangular T2FS stock index prediction For this reason, the authors of this paper consider this area to be very important, especially a detailed examination of membership functions in terms of not only their appropriate shape (T1FL and T2FL) resulting from the nature of the selected dataset, but also the appropriate degree of uncertainty between dual membership functions (T2FLS) resulting from the nature of the stock market.…”
Section: Author Fuzzy Setsmentioning
confidence: 99%
“…Later, Seasonal Autoregressive Integrated Moving Average (SARIMA) was introduced to incorporate ARIMA and seasonal variation [11], while the Autoregressive Integrated Moving Average with Exogenous Variables (ARIMAX) was introduced to include the long-run effect of external variables in the ARIMA model [12]. However, these linear models are insufficient to predict nonlinear components and the uncertainty and volatility of time series, leading to several errors [13]. Nonlinear time series models which use nonlinear functions in prediction, such as Support Vector Machine (SVM), Long Short-Term Memory (LSTM), and Artificial Neural Networks (ANN), have been used to handle nonlinear components of time series data [11,12].…”
Section: Introductionmentioning
confidence: 99%
“…To handle the seasonality of time series, researchers have built the seasonal ARIMA [14] based on the ARIMA model. Besides, since the uncertainty and volatility of time series bring several errors for time series prediction [15], many time series prediction models [16]- [18] based on the fuzzy time series [19] have been proposed due to the effectiveness of dealing with uncertainty [20], [21] by fuzzification. In recent years, due to the ability of machine learning methods to use information efficiently, some of them, such as neural networks [22]- [24] and random forest [25], have been widely used in time series prediction models.…”
Section: Introductionmentioning
confidence: 99%