A Simulation Study on Choquet Integral with Respect to Extensional L- Measure
In this paper, an Monte Carlo simulation study method with 5- fold cross-validation MSE is used, a simulation experiment data and a real data set are conducted, for comparing the performances of a multiple linear regression model, a ridge regression model, and the Choquet integral regression model with respect to two well-known fuzzy measures, P-measure and λ-measure, and two new fuzzy measures proposed by authors’ previous works, L-measure and extensional L-measure, respectively. Both of the results show that the Choquet integral regression model with respect to extensional L-measure has the best performance.
H. C. Yao et al., "A Simulation Study on Choquet Integral with Respect to Extensional L- Measure", Applied Mechanics and Materials, Vols. 44-47, pp. 3647-3651, 2011