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Supervised Learning to Aggregate Data With the Sugeno Integral

delete2019-04-01
delete14
PRE
AI
M
Marek Gągolewski *
S
Simon James
G
Gleb Beliakov
DOI:10.1109/TFUZZ.2019.2895565delete
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Abstract

Abstract

En 中文
The problem of learning s)ininetric capacities (or fuzzy measures) from data is investigated toward applications in data analysis and prediction as well as decision making. Theoretical results regarding the solution minimizing the mean absolute error are exploited to develop an exact branch-refine-and-bound-type algorithm fur fitting Sugeno integrals (weighted lattice polynomial functions, max-min operators) with respect to symmetric capacities. The proposed method turns out to be particularly suitable fur acting on ordinal data. In addition to providing a model that can be used for the general data regression task, the results can be used, among others, to calibrate generalized h-indices to bibliometric data.
Keywords:
Fuzzy measures
h-index
lattice polynomials
ordinal data fitting
Sugeno integral
weight learning
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Journal

IEEE Transactions on Fuzzy Systems cover
IEEE Transactions on Fuzzy Systems
IF:
11.9
Papers:
5.0K
Citations:
2.9W

Organization

W
Warsaw University of Technology
Scholars:
8.3K
Papers: 7.2K
Citations: 5.5K