Title
Multiregression based on upper and lower nonlinear integrals
Abstract
A new nonlinear multiregression model based on a pair of extreme nonlinear integrals, upper and lower nonlinear integrals with respect to signed fuzzy measure, is established in this paper. A data set with the predictive features and the relevant objective feature is required for estimating the regression coefficients. Owing to the nonadditivity of the model, a multiobjective optimization using genetic algorithm is adopted to search for the optimized solution in the regression problem. Applying such a nonlinear multiregression model, an interval prediction for the value of the objective feature can be made once a new observation of predictive features is available. We apply our model on synthetic data and weather problem. The results testify the performance of the multiregression based on upper and lower nonlinear integrals. © 2012 Wiley Periodicals, Inc. © 2012 Wiley Periodicals, Inc.
Year
DOI
Venue
2012
10.1002/int.21534
Int. J. Intell. Syst.
Keywords
Field
DocType
objective feature,new nonlinear multiregression model,predictive feature,wiley periodicals,extreme nonlinear integral,nonlinear multiregression model,regression coefficient,new observation,regression problem,lower nonlinear integral
Mathematical optimization,Nonlinear system,Fuzzy logic,Multi-objective optimization,Synthetic data,Regression problems,Genetic algorithm,Mathematics,Linear regression
Journal
Volume
Issue
ISSN
27
6
0884-8173
Citations 
PageRank 
References 
0
0.34
12
Authors
5
Name
Order
Citations
PageRank
JinFeng Wang100.34
Kwong-Sak Leung21887205.58
Kin-Hong Lee325726.27
Zhenyuan Wang468490.22
Jun Xu500.34