Aggregation operators approximation tool swMATH ID: 19097 Software Authors: Beliakov, Gleb; Mesiar, Radko; Valaskova, Lubka Description: Fitting generated aggregation operators to empirical data. The authors discuss the problem of fitting general aggregation operators with unfixed number of arguments to empirical data. Especially they treat triangular norms, uninorms, nullnorms, Choquet integral based operators w.r.t. a general fuzzy measure, OWA-operators and k-additive symmetric fuzzy measures. Given K observations of arguments and associated aggregated values the generators of the mentioned operators are fitted by suitable spline approximations. The described approximation methods have been added to the software package “Aggregation operators approximation tool” available from http://www.it.deakin.edu.au/∼gleb. Homepage: http://www.deakin.edu.au/about-deakin/people/gleb-beliakov Keywords: aggregation operators; triangular norms; fuzzy measures; spline approximation Related Software: ELECTRE; WEKA; CopulaModel; fmtools; kappalab; R; M-MACBETH; FITPACK Cited in: 10 Publications all top 5 Cited by 21 Authors 2 Beliakov, Gleb 2 Combarro, Elías F. 2 Mesiar, Radko 1 Calvo, Tomasa 1 Cornelis, Chris 1 De Baets, Bernard 1 De Meyer, Hans E. 1 Di Bernardino, Elena 1 Díaz, Irene 1 Espín, Rafael A. 1 Fernández, Eduardo R. 1 García-Barriocanal, Elena 1 García-Segador, P. 1 Navarro, Jorge Adalberto 1 Parthaláin, Neil Mac 1 Picos, Julio C. 1 Rullière, Didier 1 Saeys, Yvan 1 Sicilia, Miguel-Angel 1 Valásková, Ľubica 1 Vluymans, Sarah all top 5 Cited in 6 Serials 4 Fuzzy Sets and Systems 2 Information Sciences 1 Kybernetika 1 Computers & Operations Research 1 Revista Investigación Operacional 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems all top 5 Cited in 10 Fields 5 Measure and integration (28-XX) 3 Computer science (68-XX) 2 Mathematical logic and foundations (03-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year