Fitting fuzzy measures by linear programming. Programming library fmtools
Beliakov, Gleb 2008, Fitting fuzzy measures by linear programming. Programming library fmtools, in 2008 IEEE International Conference on Fuzzy Systems : proceedings : FUZZ-IEEE 2008, IEEE, Piscataway, N.J., pp. 862-867.
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We discuss the problem of learning fuzzy measures from empirical data. Values of the discrete Choquet integral are fitted to the data in the least absolute deviation sense. This problem is solved by linear programming techniques. We consider the cases when the data are given on the numerical and interval scales. An open source programming library which facilitates calculations involving fuzzy measures and their learning from data is presented.
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Field of Research
080108 Neural, Evolutionary and Fuzzy Computation
Socio Economic Objective
970101 Expanding Knowledge in the Mathematical Sciences
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