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Advances in Decision Sciences
Volume 2016 (2016), Article ID 8963214, 9 pages
Research Article

A Method of Assigning Weights Using a Ranking and Nonhierarchy Comparison

Department of Management of Technology for Defense, Korea University, Seoul 136-713, Republic of Korea

Received 4 September 2015; Accepted 6 April 2016

Academic Editor: Panos Pardalos

Copyright © 2016 Bangweon Song and Seokjoong Kang. 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 analytic hierarchy process (AHP) has advantages that the whole number of comparisons can be reduced via a hierarchy structure and the consistency of responses verified via a consistency ratio. However, at the same time, the AHP has disadvantages that values vary according to the form of hierarchy structure and it is difficult to maintain consistency itself among responses. If the number of comparisons can be reduced, a comparison within a single level is optimal, and if comparison can be made while the priority among entities is maintained, consistency may be automatically maintained. Thus, in this study, we propose a method of assigning weights, which applies hierarchy structure of AHP and pairwise comparison but complements the disadvantages of AHP. This method has advantages that the number of comparisons can be reduced and also consistency is automatically maintained via determination of priorities first on multiple entities and subsequent comparisons between entities with adjoined priorities.