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Mathematical Problems in Engineering
Volume 2016, Article ID 1350807, 8 pages
Research Article

Problems on Solving Matrix Aggregation in Group Decision-Making by Glowworm Swarm Optimization

1School of Management, Hefei University of Technology, Hefei 230009, China
2Anhui Economic Management Institute, Hefei 230059, China

Received 19 May 2016; Revised 16 July 2016; Accepted 17 July 2016

Academic Editor: Muhammad N. Akram

Copyright © 2016 Yaping Li. 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.


Judgment matrix aggregation, as an important part of group decision-making, has been widely and deeply studied due to the universality and importance of group decision-making in the management field. For the variety of judgment matrix in group decision-making, the matrix aggregation result can be obtained by using the mode of glowworm swarm optimization. First, this paper introduces the basic principle of the glowworm swarm optimization (GSO) algorithm and gives the improved GSO algorithm to solve the matrix aggregation problems. In this approach, the consistency ratio is introduced to the objective function of the glowworm swarm optimization, thus reducing the subjectivity and information loss in the aggregation process. Then, the improved GSO algorithm is applied to the solution of the deterministic matrix and the fuzzy matrix. The method optimization can provide an effective and relatively uniform aggregation method for matrix aggregation. Finally, through comparative analysis, it is shown that the method of this paper has certain advantages in terms of adaptability, accuracy, and stability to solving the matrix aggregation problems.