Aggregation operators approximation tool

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∼gleb.

References in zbMATH (referenced in 11 articles )

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  1. García-Segador, P.; Miranda, P.: Applying Young diagrams to 2-symmetric fuzzy measures with an application to general fuzzy measures (2020)
  2. Vluymans, Sarah; Mac Parthaláin, Neil; Cornelis, Chris; Saeys, Yvan: Weight selection strategies for ordered weighted average based fuzzy rough sets (2019)
  3. Fernández, Eduardo R.; Navarro, Jorge A.; Picos, Julio C.; Espín, Rafael A.: A new model for aggregating multicriteria preferences based on fuzzy logic (2017)
  4. Di Bernardino, Elena; Rullière, Didier: On tail dependence coefficients of transformed multivariate Archimedean copulas (2016)
  5. Combarro, E. F.; Díaz, I.; Miranda, P.: On random generation of fuzzy measures (2013)
  6. Mendis, B. S. U.; Gedeon, T. D.: Complex structured decision making model: A hierarchical frame work for complex structured data (2012) ioport
  7. De Baets, B.; De Meyer, H.; Mesiar, R.: Piecewise linear aggregation functions based on triangulation (2011)
  8. Beliakov, Gleb: Construction of aggregation functions from data using linear programming (2009)
  9. Combarro, Elías F.; Miranda, Pedro: Identification of fuzzy measures from sample data with genetic algorithms (2006)
  10. Beliakov, Gleb; Mesiar, Radko; Valaskova, Lubka: Fitting generated aggregation operators to empirical data (2004)
  11. Sicilia, Miguel-Ángel; Barriocanal, Elena García; Calvo, Tomasa: An inquiry-based method for Choquet integral-based aggregation of interface usability parameters (2003)