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Mathematical Problems in Engineering
Volume 2015, Article ID 239634, 9 pages
Research Article

New Combined Weighting Model Based on Maximizing the Difference in Evaluation Results and Its Application

Faculty of Management and Economics, Dalian University of Technology, Dalian 116024, China

Received 17 May 2015; Revised 2 August 2015; Accepted 18 August 2015

Academic Editor: Davide La Torre

Copyright © 2015 Bin Meng and Guotai Chi. 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.


This paper presents an approach for weighting indices in the comprehensive evaluation. In accordance with the principle that the entire difference of various evaluation objects is to be maximally differentiated, an adjusted weighting coefficient is introduced. Based on the idea of maximizing the difference between the adjusted evaluation scores of each evaluation object and their mean, an objective programming model is established with more obvious differentiation between evaluation scores and the combined weight coefficient determined, thereby avoiding contradictory and less distinguishable evaluation results of single weighting methods. The proposed model is demonstrated using 2,044 observations. The empirical results show that the combined weighting method has the least misjudgment probability, as well as the least error probability, when compared with four single weighting methods, namely, G1, G2, variation coefficient, and deviation methods.