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Theory of inclusion-exclusion integral

Article ID Journal Published Year Pages File Type
4944844 Information Sciences 2017 20 Pages PDF
Abstract
We propose an integral with respect to a nonadditive monotone measure. This integral is a generalization of the Lebesgue integral and also the Choquet integral. It has appropriate properties, and can be extensively applied to real data analysis.
Keywords
Nonadditive measureMonotone measureMöbius transform
Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence
Preview
Theory of inclusion-exclusion integral
Authors
Aoi Honda, Yoshiaki Okazaki,
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Journal
Information Sciences
Journal: Information Sciences
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Nonadditive measure
Monotone measure
Möbius transform
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