An extended minimax absolute and relative disparity approach to obtain the OWA operator weights

Abstract

Determining the ordered weighted averaging (OWA) operator weights is important in decision making applications. Several approaches have been proposed in the literature to obtain the associated weights. This paper provides two new disparity models to obtain the associated weights, which is determined by considering the absolute deviation and relative deviation of any distinct pairs of weights. The proposed mathematical models improve the existing minimize disparity approach and chi-square method, which is suggested by Amin and Emrouzenjad (2006, 2010) and Wang (2007). A numerical example and an application in search engines prove the usefulness of the generated OWA operator weights.