Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 619162, 12 pages
Research Article

The Unbalanced Linguistic Aggregation Operator in Group Decision Making

1School of Computer and Information Technology, Liaoning Normal University, Dalian 116029, China
2School of Mathematic and Computer Engineering, Xihua University, Sichuan, Chengdu 610039, China
3Department of Engineering Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway
4Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd CF37 1DL, UK
5School of Engineering and Science, Victoria University, Melbourne, VIC 8001, Australia

Received 17 January 2012; Revised 12 March 2012; Accepted 18 March 2012

Academic Editor: Gerhard-Wilhelm Weber

Copyright © 2012 Li Zou et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Many linguistic aggregation methods have been proposed and applied in the linguistic decision-making problems. In practice, experts need to assess a number of values in a side of reference domain higher than in the other one; that is, experts use unbalanced linguistic values to express their evaluation for problems. In this paper, we propose a new linguistic aggregation operator to deal with unbalanced linguistic values in group decision making, we adopt 2-tuple representation model of linguistic values and linguistic hierarchies to express unbalanced linguistic values, and moreover, we present the unbalanced linguistic ordered weighted geometric operator to aggregate unbalanced linguistic evaluation values; a comparison example is given to show the advantage of our method.