Paper Info
Title
Induced ordered weighted geometric operators and their use in the aggregation of multiplicative preference relations
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.
Year
DOI
Venue
2004
10.1002/int.v19:3
Int. J. Intell. Syst.
Field
DocType
Volume
Multiplicative function,Decision support system,Pure mathematics,Algorithm,Reciprocity (electromagnetism),Operator (computer programming),Reciprocity (social psychology),Weighted arithmetic mean,Mathematics
Journal
19
Issue
ISSN
Citations 
3
0884-8173
79
PageRank 
References 
Authors
3.41
22
4
Name
Order
Citations
PageRank
Francisco Chiclana16350284.13
Enrique Herrera-Viedma213105642.24
Francisco Herrera3273911168.49
Sergio Alonso4166953.28