American Journal of Applied Sciences

Extended IOWG Operator and its Use in Group Decision Making Based on Multiplicative Linguistic Preference Relations

Zeshui Xu

DOI : 10.3844/ajassp.2005.633.643

American Journal of Applied Sciences

Volume 2, Issue 3

Pages 633-643


In [1], Xu and Da introduced the Induced Ordered Weighted Geometric (IOWG) operator, which takes as its argument pairs, called OWG pairs, in which one component is used to induce an ordering over the second components which are exact numerical values and then aggregated. In this study, we develop an extended IOWG (EIOWG) operator, in which the second components are linguistic variables. We study some desirable properties of the EIOWG operator, and then apply the EIOWG operator to group decision making based on multiplicative linguistic preference relations.


© 2005 Zeshui Xu. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.