A note on the 1-9 scale and index scale in ahp

Zhiyong Zhang; Xinbao Liu; Shanlin Yang

doi:10.1007/978-3-642-02298-2_92

A note on the 1-9 scale and index scale in ahp

Zhiyong Zhang
, Xinbao Liu
, Shanlin Yang

Hefei University of Technology
Beijing Wuzi University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

46 Scopus citations

Abstract

This paper demonstrates that the 1-9 scale and the index scale used in the Analytical Hierarchy Process (AHP) can both be derived from the same scale-selection criteria. They are both accordant to Saaty's basic thoughts about the scale-selection in the AHP. These two different kinds of ratio scales are the results of the two different ways of applications of the Weber-Fechner psychophysical law. We believe that the index scale is preferable to the 1-9 scale in the theory and hope that the more use of the index scale could be encouraged in the future. But for the rich experiences of application, people can keep on using the existing 1-9 scale in the practice.

Original language	English
Title of host publication	Cutting-Edge Research Topics on Multiple Criteria Decision Making
Subtitle of host publication	20th International Conference, MCDM 2009, Chengdu/Jiuzhaigou, Proceedings
Publisher	Springer Verlag
Pages	630-634
Number of pages	5
ISBN (Print)	9783642022975
DOIs	https://doi.org/10.1007/978-3-642-02298-2_92
State	Published - 2009
Externally published	Yes

Publication series

Name	Communications in Computer and Information Science
Volume	35
ISSN (Print)	1865-0929

Keywords

1-9 Scale
Analytical Hierarchy Process
Pair Comparison
Psychophysical law
Ratio Scale

Access to Document

10.1007/978-3-642-02298-2_92

Cite this

Zhang, Z., Liu, X., & Yang, S. (2009). A note on the 1-9 scale and index scale in ahp. In Cutting-Edge Research Topics on Multiple Criteria Decision Making: 20th International Conference, MCDM 2009, Chengdu/Jiuzhaigou, Proceedings (pp. 630-634). (Communications in Computer and Information Science; Vol. 35). Springer Verlag. https://doi.org/10.1007/978-3-642-02298-2_92

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A note on the 1-9 scale and index scale in ahp. / Zhang, Zhiyong; Liu, Xinbao; Yang, Shanlin.
Cutting-Edge Research Topics on Multiple Criteria Decision Making: 20th International Conference, MCDM 2009, Chengdu/Jiuzhaigou, Proceedings. Springer Verlag, 2009. p. 630-634 (Communications in Computer and Information Science; Vol. 35).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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A note on the 1-9 scale and index scale in ahp

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Keywords

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