On the properties of parametric geometric OWA operator

Based on the properties of ordered weighted averaging (OWA) operator weights, the parametric geometric OWA (PGOWA) operator and parametric maximum entropy OWA (PMEOWA) operator are proposed. The properties of PGOWA operator are analyzed. The consistence of the orness level and the aggregation value for any arbitrary aggregated elements with PGOWA weights is proved. The equivalence of PGOWA and PMEOWA is proved. With PGOWA operator, we cannot only generate maximum entropy OWA (MEOWA) weights with given orness degree more easily than the methods of Filev and Yager [Inform. Sci. 85 (1995) 11] and Fuller and Majlender [Fuzzy Sets Syst. 124 (1) (2001) 53], but also get the MEOWA weights with given aggregation results for a specific aggregated set. (C) 2003 Elsevier Inc. All rights reserved.