A novel choquet integral composition forecasting model based on m-density

In this paper, a novel density, M-density, was proposed. Based on this new density, a novel composition forecasting model was also proposed. For comparing the forecasting efficiency of this new density with the well-known density, N-density, a real data experiment was conducted. The performances of Choquet integral composition forecasting model with extensional L-measure, λ-measure and P-measure, by using M-density and N-density, respectively, a ridge regression composition forecasting model and a multiple linear regression composition forecasting model and the traditional linear weighted composition forecasting model were compared. Experimental result showed that the Choquet integral composition forecasting model with respect to extensional L-measure based on M-density outperforms other composition forecasting models. Furthermore, for each fuzzy measure, including the LE-measure, L-measure, λ-measure and P-measure, the M-density based Choquet integral composition forecasting model is better than the N-density based.