Symmetric Fuzzy Measures: OWA

© 2020, Springer Nature Switzerland AG. The focus of this chapter is on the ordered weighted averaging (OWA) functions, which are Choquet integrals with respect to symmetric fuzzy measures. The formal definitions and the main properties of OWA are presented, with some extensions discussed in detail, in particular the weighted OWA functions. Various methods of fitting OWA functions to empirical data are also presented. This chapter ends with a discussion of median functions and order statistics as special cases of OWA functions.