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

✍ Scribed by F. Chiclana; E. Herrera-Viedma; F. Herrera; S. Alonso

• Publisher: John Wiley and Sons
• Year: 2004
• Tongue: English
• Weight: 163 KB
• Volume: 19
• Category: Article
• ISSN: 0884-8173
• DOI: 10.1002/int.10172

✦ Synopsis

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.