Abstract
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.
| Original language | English |
|---|---|
| Article number | 8963214 |
| Journal | Advances in Decision Sciences |
| Volume | 2016 |
| DOIs | |
| Publication status | Published - 2016 |
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ASJC Scopus subject areas
- Decision Sciences(all)
- Applied Mathematics
- Computational Mathematics
- Statistics and Probability
Cite this
A Method of Assigning Weights Using a Ranking and Nonhierarchy Comparison. / Song, Bangweon; Kang, Seokjoong.
In: Advances in Decision Sciences, Vol. 2016, 8963214, 2016.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A Method of Assigning Weights Using a Ranking and Nonhierarchy Comparison
AU - Song, Bangweon
AU - Kang, Seokjoong
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84973293304&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84973293304&partnerID=8YFLogxK
U2 - 10.1155/2016/8963214
DO - 10.1155/2016/8963214
M3 - Article
AN - SCOPUS:84973293304
VL - 2016
JO - Advances in Decision Sciences
JF - Advances in Decision Sciences
SN - 2090-3359
M1 - 8963214
ER -