Journal of Applied Mathematics
Volume 2012 (2012), Article ID 210392, 10 pages
Research Article

Fuzzy Linguistic Induced Ordered Weighted Averaging Operator and Its Application

College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received 16 July 2012; Accepted 11 September 2012

Academic Editor: Carla Roque

Copyright © 2012 Sidong Xian. 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.


With respect to multiple attribute group decision making (MAGDM) problems, in which the attribute weights take the form of real numbers, and the attribute values take the form of fuzzy linguistic scale variables, a decision analysis approach is proposed. In this paper, we develop a new fuzzy linguistic induce OWA (FLIOWA) operator and analyze the properties of it by utilizing some operational laws of fuzzy linguistic scale variables. A method based on the FLIOWA operators for multiple attribute group decision making is presented. Finally, a numerical example is used to illustrate the applicability and effectiveness of the proposed method.