Prof. LEUNG Kwong SakWong M.L.Lam W.Wang Zhenyuan2023-03-302023-03-301998Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, 1998, vol. 3, pp. 2354 - 235908843627http://hdl.handle.net/20.500.11861/7675By using a non-additive set function to describe the interaction among variables, a non-linear non-negative multi-regression is established based on Choquet integral with respect to the set function. We generalize this nonlinear model and propose a novel formalism that provides an effective and efficient reasoning procedure to perform information fusion, decision making, and medical diagnoses. In the formalism, a network structure and a number of Choquet integrals are used to represent the relationships among variables. We propose a new algorithm to learn the network structure and the regression parameters of Choquet integrals from training examples in databases. The algorithm is based on the Minimum Description Length (MDL) principle and Evolutionary Programming (EP). We conduct a series of experiments to demonstrate the performance of our algorithm and estimate the effectiveness of the MDL metric and the genetic operators. The empirical results illustrate that our algorithm can successfully discover the target network structure and the regression parameter.enEvolutionary ComputationMinimum Description LengthLength PrincipleMinimum Description Length PrincipleNonlinear ModelRegression ParametersTraining ExamplesGenetic OperatorsEvolutionary ProgrammingLearning AlgorithmsData MiningStatistical CorrelationDirected Acyclic GraphProblem DomainUnknown CoefficientsParental GenerationNonlinear NetworkSimple MutationLebesgue IntegrableConference Paper10.1109/ICSMC.1998.725008