Dependent Weighted Geometric Averaging Operators and their Application to Decision Making

Abstract

Chiclana introduced the ordered weighted geometric weighted averaging operator, in which the associated weights depend on the aggregated arguments. Based on the idea that the closer a preference argument to the mean, the more the weight, in this paper, we develop new dependent ordered weighted geometric averaging (DOWGA) operators and dependent weighted geometric averaging(DWGA) operators, which the associated weights only dependent on the aggregated arguments and can relieve the influence of unfair argument on the aggregated results by assigning low weights to those ldquofalserdquo and ldquobiasedrdquo ones.