Title : 
A Monte Carlo simulation study on Choquet integral with respect to different fuzzy measures
         
        
            Author : 
Yao, Hsu-chan ; Liu, Hsiang-chuan ; Jheng, Yu-Du ; Chang, Chun-jey
         
        
            Author_Institution : 
Grad. Inst. of Educ. Meas. & Stat., Taichung Univ., Taichung, Taiwan
         
        
        
        
        
        
        
            Abstract : 
In this paper, a hybrid method based on Monte Carlo simulation study method and 5-fold cross-validation MSE method is used, a simulation experiment is conducted for comparing the performances of a multiple linear regression model, a ridge regression model, and the Choquet integral regression model with respect to three well known fuzzy measures, P-measure, λ-measure and L-measure, respectively. The result shows that the Choquet integral regression model with respect to L-measure outperforms other forecasting models.
         
        
            Keywords : 
Monte Carlo methods; fuzzy set theory; mean square error methods; λ-measure; 5-fold cross-validation MSE method; Choquet integral regression model; L-measure; Monte Carlo simulation study method; P-measure; fuzzy measures; multiple linear regression model; ridge regression model; Correlation; Data models; Linear regression; Machine learning; Mathematical model; Monte Carlo methods; Predictive models; Choquet integral; Fuzzy measure; L-measure; Simulation;
         
        
        
        
            Conference_Titel : 
Machine Learning and Cybernetics (ICMLC), 2010 International Conference on
         
        
            Conference_Location : 
Qingdao
         
        
            Print_ISBN : 
978-1-4244-6526-2
         
        
        
            DOI : 
10.1109/ICMLC.2010.5580667