A comparison of the Saaty's AHP and modified AHP for right and left eigenvector inconsistency

Over the past two decades, Saaty's Analytic Hierarchy Process (AHP) has been developed to solve decision problems in various fields by prioritization of alternatives using eigenvectors and manipulations in matrix algebra. However, a fundamental problem called “Right and Left Eigenvector Inconsi...

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Bibliographic Details
Published inEuropean journal of operational research Vol. 106; no. 1; pp. 123 - 128
Main Authors Tung, S.L., Tang, S.L.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.04.1998
Elsevier
Elsevier Sequoia S.A
SeriesEuropean Journal of Operational Research
Subjects
AHP
Analytic hierarchy process
Applied sciences
Comparative analysis
Decision theory. Utility theory
Eigenvector
Exact sciences and technology
Hierarchies
Inconsistency
Mathematical models
Modified AHP
Operational research and scientific management
Operational research. Management science
Operations research
Right and left
Studies
Modified AHP
AHP
Inconsistency
Eigenvector
Right and left
Analytic hierarchy process
Modification
Decision theory
Comparative study
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Summary:Over the past two decades, Saaty's Analytic Hierarchy Process (AHP) has been developed to solve decision problems in various fields by prioritization of alternatives using eigenvectors and manipulations in matrix algebra. However, a fundamental problem called “Right and Left Eigenvector Inconsistency” has been observed which may yield inconsistent results using the right and the left eigenvectors. A new method known as the Modified AHP has been recently devised by H.A. Donegan, F.J. Dodd, T.B.M. McMaster, The Statistician 41 (1992) 295–302 who claimed that the inconsistency problem can be effectively reduced. This work is an attempt to compare the Saaty's AHP (SAHP) and the Modified AHP (MAHP) using 42 models comprising 294 reciprocal matrices. It was discovered that the Modified AHP is no better than the Saaty's AHP.
ISSN:0377-2217
1872-6860
DOI:10.1016/S0377-2217(98)00353-1