Title
A genetic algorithm for determining nonadditive set functions in information fusion
Abstract
As a classical aggregation tool, the weighted average method is widely used in information fusion. It is the Lebesgue integral with respect to the weights essentially. Due to some inherent interaction among diverse information sources, the weighted average method does not work well in many real problems. To describe the interaction, an intuitive and effective way is to replace the additive weights with a nonadditive set function defined on the power set of the set of all information sources. Instead of the weighted average method, we should use the Choquet integral or some other nonlinear integrals, especially, the new nonlinear integral introduced by the authors recently. The crux of making such an improvement is how to determine the nonadditive set function from given input-output data when the nonlinear integral is viewed as a multi-input single-output system. In this paper, we employ a specially designed genetic algorithm to realize the optimization in determining the nonadditive set function.
Year
DOI
Venue
1999
10.1016/S0165-0114(98)00220-6
Fuzzy Sets and Systems
Keywords
Field
DocType
nonadditive set functions,nonlinear integrals,information fusion,optimization,genetic algorithms
Set function,Discrete mathematics,Mathematical optimization,Information processing,Nonlinear system,Measure (mathematics),Choquet integral,Power set,Mathematics,Lebesgue integration,Genetic algorithm
Journal
Volume
Issue
ISSN
102
3
Fuzzy Sets and Systems
Citations 
PageRank 
References 
44
3.24
5
Authors
3
Name
Order
Citations
PageRank
Zhenyuan Wang168490.22
Kwong-Sak Leung21887205.58
Jia Wang3443.24