A Study for Obtaining Weights in Pairwise Comparison Matrix in AHPA Study for Obtaining Weights in Pairwise Comparison Matrix in AHP
- Other Titles
- A Study for Obtaining Weights in Pairwise Comparison Matrix in AHP
- Authors
- 정형철; 이종찬; 전명식
- Issue Date
- 2012
- Publisher
- 한국통계학회
- Keywords
- AHP; Pairwise comparison matrix; Eigenvector method; Distance least squares; minimum norm.
- Citation
- 응용통계연구, v.25, no.3, pp.531 - 541
- Indexed
- KCI
- Journal Title
- 응용통계연구
- Volume
- 25
- Number
- 3
- Start Page
- 531
- End Page
- 541
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/110021
- ISSN
- 1225-066X
- Abstract
- In this study, we consider various methods to estimate the weights of a pairwise comparison matrix in the Analytic Hierarchy Process widely applied in various decision-making fields. This paper uses a data dependent simulation to evaluate the statistical accuracy, minimum violation and minimum norm of the obtaining weight methods from a reciprocal symmetric matrix. No method dominates others in all criteria. Least squares methods perform best in point of mean squared errors; however, the eigenvectors method has an advantage in the minimum norm.
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Collections - College of Political Science & Economics > Department of Statistics > 1. Journal Articles
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