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The Scientific World Journal
Volume 2014 (2014), Article ID 545049, 13 pages
Research Article

Intuitionistic Linguistic Weighted Bonferroni Mean Operator and Its Application to Multiple Attribute Decision Making

1School of Economics and Management, Civil Aviation University of China, Tianjin 300300, China
2School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, Shandong 250014, China
3School of Computer and Communications, Shandong TV University, Jinan, Shandong 250014, China

Received 1 March 2014; Revised 25 April 2014; Accepted 16 May 2014; Published 19 June 2014

Academic Editor: Ching-Ter Chang

Copyright © 2014 Peide Liu 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.


The intuitionistic linguistic variables are easier to describe the fuzzy information which widely exists in the real world, and Bonferroni mean can capture the interrelationship of the individual arguments. However, the traditional Bonferroni mean can only process the crisp number. In this paper, we will extend Bonferroni mean to the intuitionistic linguistic environment and propose a multiple attribute decision making method with intuitionistic linguistic information based on the extended Bonferroni mean which can consider the interrelationship of the attributes. Firstly, score function and accuracy function of intuitionistic linguistic numbers are introduced. Then, an intuitionistic linguistic Bonferroni mean (ILBM) operator and an intuitionistic linguistic weighted Bonferroni mean (ILWBM) operator are developed, and some desirable characteristics of them are studied. At the same time, some special cases with respect to the parameters and in Bonferroni are analyzed. Based on the ILWBM operator, the approach to multiple attribute decision making with intuitionistic linguistic information is proposed. Finally, an illustrative example is given to verify the developed approach and to demonstrate its effectiveness.