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Mathematical Problems in Engineering
Volume 2015, Article ID 485923, 7 pages
http://dx.doi.org/10.1155/2015/485923
Research Article

Linguistic Weighted Aggregation under Confidence Levels

1College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China
2College of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou 310018, China
3Center for Applied Statistics, Renmin University of China, Beijing 100872, China
4College of Computer and Information, Zhejiang Wanli University, Ningbo 310015, China
5Research Institute of Economic and Social Development, Zhejiang University of Finance and Economics, Hangzhou 310018, China

Received 8 July 2014; Revised 17 December 2014; Accepted 21 December 2014

Academic Editor: Kalyana C. Veluvolu

Copyright © 2015 Chonghui Zhang 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.

Abstract

We develop some new linguistic aggregation operators based on confidence levels. Firstly, we introduce the confidence linguistic weighted averaging (CLWA) operator and the confidence linguistic ordered weighted averaging (CLOWA) operator. These two new linguistic aggregation operators are able to consider the confidence level of the aggregated arguments provided by the information providers. We also study some of their properties. Then, based on the generalized means, we introduce the confidence generalized linguistic ordered weighted averaging (CGLOWA) operator. The main advantage of the CGLOWA operator is that it includes a wide range of special cases such as the CLOWA operator, the confidence linguistic ordered weighted quadratic averaging (CLOWQA) operator, and the confidence linguistic ordered weighted geometric (CLOWG) operator. Finally, we develop an application of the new approach in a multicriteria decision-making under linguistic environment and illustrate it with a numerical example.