Non-monotonic fuzzy measures and the Choquet integral
Fuzzy Sets and Systems
Classification by fuzzy integral: performance and tests
Fuzzy Sets and Systems - Special issue on fuzzy methods for computer vision and pattern recognition
The representation of importance and interaction of features by fuzzy measures
Pattern Recognition Letters - Special issue on fuzzy set technology in pattern recognition
A genetic algorithm for determining nonadditive set functions in information fusion
Fuzzy Sets and Systems - Special issue on fuzzy measures and integrals
Fuzzy Measure Theory
Genetic algorithms for determining fuzzy measures from data
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Learning nonlinear multiregression networks based on evolutionary computation
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Classification by nonlinear integral projections
IEEE Transactions on Fuzzy Systems
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Since Nonlinear Integrals, such as the Choquet Integral and Sugeno Integrals, were proposed, how to get the Fuzzy Measure and confirm the unique solution became the hard problems. Some researchers can obtain the optimal solution for Fuzzy Measure using soft computing tools. When the Nonlinear Integrals can be transformed to a linear equation with regards to Fuzzy Measure by Prof. Wang, we can apply the L1-norm regularization method to solve the linear equation system for one dataset and find a solution with the fewest nonzero values. The solution with the fewest nonzero can show the degree of contribution of some features or their combinations for decision. The experimental results show that the L1-norm regularization is helpful to the classifier based on Nonlinear Integrals. It can not only reduce the complexity of Nonlinear Integral but also keep the good performance of the model based on Nonlinear Integral. Meanwhile, we can dig out and understand the affection and meaning of the Fuzzy Measure better.