The ordered weighted Geometric operator: properties and application in MCDM problems

  • Authors:
  • Francisco Chiclana;Francisco Herrera;Enrique Herrera-Viedma

  • Affiliations:
  • Dept. of Computer Science and Artificial Intelligence, E.T.S. de Ingeniería Informática, University of Granada, 18071- Granada, Spain;Dept. of Computer Science and Artificial Intelligence, E.T.S. de Ingeniería Informática, University of Granada, 18071- Granada, Spain;Dept. of Computer Science and Artificial Intelligence, E.T.S. de Ingeniería Informática, University of Granada, 18071- Granada, Spain

  • Venue:
  • Technologies for constructing intelligent systems
  • Year:
  • 2002

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Abstract

The aim of this paper is to present the Ordered Weighted Geometric (OWG) operator. The OWG operator is based on the geometric mean and the OWA operator. It is a fuzzy majority guided aggregation operator proposed to aggregate information given on a ratio scale. Therefore, it allows us to incorporate the concept of fuzzy 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 [1].