The optimal interval combination forecasting model based on closeness degree and IOWHA operator under the uncertain environment

Purpose – The purpose of this paper is to propose the optimal combination forecasting model based on closeness degree and induced ordered weighted harmonic averaging (IOWHA) operator under the uncertain environment in which the raw data are provided by interval numbers.Design/methodology/approach – Starting from maximizing the closeness degree of combination forecasting, which is different from minimizing absolute errors, weighted coefficient vectors of combination forecasting methods are obtained. The new concepts of closeness degree for the center and radius of interval numbers sequences are put forward and the optimal interval combination forecasting model is constructed by maximizing the sum of convex combination with closeness degree of interval center and closeness degree of interval radius. The solution to the model is discussed.Findings – The results show that this model can improve the combination forecasting accuracy efficiently compared with that of each single forecasting method.Practical impl...

[1]  J. M. Bates,et al.  The Combination of Forecasts , 1969 .

[2]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decisionmaking , 1988, IEEE Trans. Syst. Man Cybern..

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

[4]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

[5]  Ronald R. Yager.  On a semantics for neural networks based on fuzzy quantifiers , 1992, Int. J. Intell. Syst..

[6]  R. Yager,et al.  Generalizing the modeling of fuzzy logic controllers by parameterized aggregation operators , 1995 .

[7]  Chen Hua,et al.  Research on Combination Forecasting Model Based on Effective Measure of Forecasting Methods , 2001 .

[8]  R. Mesiar,et al.  Aggregation operators: new trends and applications , 2002 .

[9]  Wang Yingming.  Research on the Methods of Combining Forecasts Based on Correlativity , 2002 .

[10]  Z. S. Xu,et al.  The ordered weighted geometric averaging operators , 2002, Int. J. Intell. Syst..

[11]  Chen Hua-you.  Induced Ordered Weighted Harmonic Averaging(IOWHA)Operator and Its Application to Combination Forecasting Method , 2004 .

[12]  Chen Hua,et al.  Research on properties of combination forecasting model based on vectorial angle cosine , 2006 .

[13]  J. Merigó,et al.  The Induced Generalized OWA Operator , 2009, EUSFLAT Conf..