Induced ordered weighted geometric operators and their use in the aggregation of multiplicative preference relations

  • Authors:

  • F. Chiclana;E. Herrera-Viedma;F. Herrera;S. Alonso

  • Affiliations:

  • Center for Computational Intelligence, School of Computing, De Montfort University, LE1 9BH The Gateway, Leicester, United Kingdom;Department of Computer Science and Artificial Intelligence, University of Granada, 18071, Granada, Spain;Department of Computer Science and Artificial Intelligence, University of Granada, 18071, Granada, Spain;Department of Computer Science and Artificial Intelligence, University of Granada, 18071, Granada, Spain

  • Venue:
  • International Journal of Intelligent Systems
  • Year:
  • 2004

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Abstract

In this article, we introduce the induced ordered weighted geometric (IOWG) operator and its properties. This is a more general type of OWG operator, which is based on the induced ordered weighted averaging (IOWA) operator. We provide some IOWG operators to aggregate multiplicative preference relations in group decision-making (GDM) problems. In particular, we present the importance IOWG (I-IOWG) operator, which induces the ordering of the argument values based on the importance of the information sources; the consistency IOWG (C-IOWG) operator, which induces the ordering of the argument values based on the consistency of the information sources; and the preference IOWG (P-IOWG) operator, which induces the ordering of the argument values based on the relative preference values associated with each one of them. We also provide a procedure to deal with “ties” regarding the ordering induced by the application of one of these IOWG operators. This procedure consists of a sequential application of the aforementioned IOWG operators. Finally, we analyze the reciprocity and consistency properties of the collective multiplicative preference relations obtained using IOWG operators. © 2004 Wiley Periodicals, Inc.