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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 348928, 8 pages
Research Article

Intuitionistic Trapezoidal Fuzzy Multiple Criteria Group Decision Making Method Based on Binary Relation

1School of Business, Shandong University of Technology, Zibo, Shandong 255049, China
2School of Science, Shandong University of Technology, Zibo, Shandong 255049, China
3School of Business, Central South University, Changsha, Hunan 410083, China

Received 23 April 2014; Accepted 13 July 2014; Published 22 July 2014

Academic Editor: Wei-Chiang Hong

Copyright © 2014 Liyuan 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.


The aim of this paper is to develop a methodology for intuitionistic trapezoidal fuzzy multiple criteria group decision making problems based on binary relation. Firstly, the similarity measure between two vectors based on binary relation is defined, which can be utilized to aggregate preference information. Some desirable properties of the similarity measure based on fuzzy binary relation are also studied. Then, a methodology for fuzzy multiple criteria group decision making is proposed, in which the criteria values are in the terms of intuitionistic trapezoidal fuzzy numbers (ITFNs). Simple and exact formulas are also proposed to determine the vector of the aggregation and group set. According to the weighted expected values of group set, it is easy to rank the alternatives and select the best one. Finally, we apply the proposed method and the Cosine similarity measure method to a numerical example; the numerical results show that our method is effective and practical.