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Journal of Applied Mathematics
Volume 2013, Article ID 563650, 9 pages
Research Article

Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making

1College of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou 310018, China
2College of Computer and Information, Zhejiang Wanli University, Ningbo 315100, China

Received 3 April 2013; Accepted 10 July 2013

Academic Editor: Luca Formaggia

Copyright © 2013 Wei Li and Shouzhen Zeng. 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.


We introduce a method based on distance measures for group decision making under uncertain linguistic environment. We develop some uncertain linguistic aggregation distance measures called the uncertain linguistic weighted distance (ULWD) measure, the uncertain linguistic ordered weighted distance (ULOWD) measure, and the uncertain linguistic hybrid weighted distance (ULHWD) measure. We study some of their characteristic, and we prove that the ULWD and the ULOWD are special cases of the ULHWD measure. Finally, we develop an application of the ULHWD measure in a group decision making problem concerning the evaluation of university faculty for tenure and promotion with uncertain linguistic information.