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An Alternate Method of Deriving Priorities and Related Inferences for Group Decision Making in Analytic Hierarchy Process
Author(s) -
Basak Indrani
Publication year - 2011
Publication title -
journal of multi‐criteria decision analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.462
H-Index - 47
eISSN - 1099-1360
pISSN - 1057-9214
DOI - 10.1002/mcda.484
Subject(s) - analytic hierarchy process , pairwise comparison , computer science , hierarchy , independence (probability theory) , matrix (chemical analysis) , process (computing) , statistics , data mining , operations research , mathematics , artificial intelligence , materials science , economics , market economy , composite material , operating system
ABSTRACT Some work has been carried out in the past on statistically deriving priorities in Analytic Hierarchy Process (AHP). In AHP, the aggregated worths of the alternatives, when compared with respect to several criteria, are estimated in a hierarchical comparisons model introduced by Saaty. In this setup, statistical models are used for Saaty's method of scaling in paired comparisons experiments in any level of the hierarchy. At the end, the final priority weights of the alternatives and related inferences are developed with appropriate statistical methods. Existing statistical methods in the literature assume independence of the entries of the paired comparison matrix. However, these entries are highly dependent among themselves. In this article, we propose a statistical method that allows for the dependence among the entries of the pairwise comparisons matrix. The proposed method is then illustrated with a numerical example. Copyright © 2011 John Wiley & Sons, Ltd.