TY - JOUR
T1 - Nonlinear nonnegative multiregressions based on Choquet integrals
AU - WANG, Zhenyuan
AU - LEUNG, Kwong-Sak
AU - WONG, Man-Leung
AU - FANG, Jian
AU - XU, Kebin
PY - 2000/10
Y1 - 2000/10
N2 - Using a nonadditive set function to describe the interaction among attributes, a new nonlinear nonnegative multiregression is established based on Choquet integrals with respect to the set function. Regarding the values of the set function as unknown regression parameters, an evolutionary computation can be used to determine them when necessary data are available. Such a model is a generalization of the traditional linear multiregression. It provides an e€ective regression tool in some real problems where the linear multiregression model and the second-order multiregression model fail. This new method has a wide applicability in the areas of information fusion and data mining, as well as in the areas of decision making, image processing, pattern recognition, medical and industrial diagnoses, and expert systems.
AB - Using a nonadditive set function to describe the interaction among attributes, a new nonlinear nonnegative multiregression is established based on Choquet integrals with respect to the set function. Regarding the values of the set function as unknown regression parameters, an evolutionary computation can be used to determine them when necessary data are available. Such a model is a generalization of the traditional linear multiregression. It provides an e€ective regression tool in some real problems where the linear multiregression model and the second-order multiregression model fail. This new method has a wide applicability in the areas of information fusion and data mining, as well as in the areas of decision making, image processing, pattern recognition, medical and industrial diagnoses, and expert systems.
KW - Nonlinear regressions
KW - Information fusion
KW - Data mining
KW - Nonnegative monotone set functions
KW - Choquet integrals
KW - Optimization
KW - Evolutionary algorithms
UR - https://www.scopus.com/inward/record.uri?eid=2-s2.0-0002281602&doi=10.1016%2fS0888-613X%2800%2900048-7&partnerID=40&md5=f9e5e90cbeb837e4c9fb809239348b55
U2 - 10.1016/S0888-613X(00)00048-7
DO - 10.1016/S0888-613X(00)00048-7
M3 - Journal Article (refereed)
VL - 25
SP - 71
EP - 87
JO - International Journal of Approximate Reasoning
JF - International Journal of Approximate Reasoning
SN - 0888-613X
IS - 2
ER -