A study of the origin and uses of the ordered weighted geometric operator in multicriteria decision making

Francisco Herrera · Enrique Herrera‐Viedma · Francisco Chiclana

151 citations0/0 files storedInternational Journal of Intelligent Systems

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Multi-Criteria Decision Making Game Theory and Voting Systems Fuzzy and Soft Set Theory

Abstract

The ordered weighted geometric (OWG) operator is an aggregation operator that is based on the ordered weighted averaging (OWA) operator and the geometric mean. Its application in multicriteria decision making (MCDM) under multiplicative preference relations has been presented. Some families of OWG operators have been defined. In this article, we present the origin of the OWG operator and we review its relationship to the OWA operator in MCDM models. We show a study of its use in multiplicative decision-making models by providing the conditions under which reciprocity and consistency properties are maintained in the aggregation of multiplicative preference relations performed in the selection process. © 2003 Wiley Periodicals, Inc.

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References

1985The Analytic Hierarchy Process 1988On ordered weighted averaging aggregation operators in multicriteria decisionmaking 1998Quantifier guided aggregation using OWA operators 1993On Ordered Weighted Averaging Aggregation Operators in Multicriteria Decisionmaking 1999Induced ordered weighted averaging operators 1983Procedures for synthesizing ratio judgements 1998Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations 2002A consensus model for multiperson decision making with different preference structures

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