Majority Multiplicative Ordered Weighting Geometric Operators and Their Use in the Aggregation of Multiplicative Preference Relations

In this paper, we introduced the majority multiplicative ordered weighted geometric (MM-OWG) operator and its properties. This is a general type of the aggregate dependent weights which we have applied in geometric environment. The MM-OWG operator is based on the OWG operators and on the majority operators. We provide the MM-OWG operators to aggregate in a multiplicative environment, i.e. when it’s necessary to aggregate information given on a ratio scale. Therefore, it allows us to incorporate the concept of majority in problems where the information is provided using a ratio scale. Its properties are studied and an application for multicriteria decision making problems with multiplicative preference relations is presented.