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A New Nonlinear Multiregression Model Based on the Lower and Upper Integrals
Date Issued
2014
Journal
ISSN
2198-5804
2198-5812
Citation
Annals of Data Science, 2014, vol. 1, pp. 109–125
Type
Peer Reviewed Journal Article
Abstract
A new nonlinear multiregression model based on a pair of extreme nonlinear integrals, lower and upper integrals, is established in this paper. A complete data set of predictive attributes and the relevant objective attribute is required for estimating the regression coefficients. Due to the nonadditivity of the model, a genetic algorithm combined with the pseudo gradient search is adopted to search the optimized solution in the regression problem. Applying such a nonlinear multiregression model, an interval prediction for the value of the objective attribute can be made once a new observation of predictive attributes is available.
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