Decision-making with the AHP: Why is the principal eigenvector necessary

By Thomas L. Saaty. European Journal of Operational Research, 2003

1,558 citations recorded by the source corpus.

Subfields: Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/5778fed4536df634c92114ce14fc183c110e76fc

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In Management Science and Operations Research

Citations in the corpus

The weighted sum method for multi-objective optimization: new insights (2010, methodology): “In this vein, Saaty (1977, 2003) , and Saaty and Hu (1998) provide an eigenvalue method for determining weights, which involves k(k − 1)/ 2p airwise comparisons between objective functions.”
Analytic Hierarchy Process and Expert Choice: Benefits and limitations (2009, methodology): “Perhaps in the light of this lack of practical evidence, Saaty’s group has always supported the eigenvalue method (Saaty and Vargas, 1984a, b; Harker and Vargas, 1987; Saaty and Hu, 1998; Saaty, 2003).”
Consensus models for AHP group decision making under row geometric mean prioritization method (2010, methodology): “In the exploitation phase of AIJ, prioritization methods, such as eigenvalue method (EM) [38] and row geometric mean method (RGMM) [14], are used to derive a priority vector to order collective judgement matrix.”
Evaluating Relationship of Consistency Ratio and Number of Alternatives on Rank Reversal in the AHP (2006, background): “The AHP allows for inconsistency because in making judgments people are more likely to be cardinally inconsistent than cardinally consistent because they cannot precisely estimate measurement values, even from a known scale, and especially when they deal with intangibles (Saaty, 2003).”
Judgment Scales and Consistency Measure in AHP (2014, methodology): “In this case according to Saaty (2003) it is the item s 37 and s 73 of the pair-wise matrix S in table 3.”
Review of the main developments in the analytic hierarchy process (2011, methodology): “Perhaps in the light of this lack of practical evidence, Saaty's group has always supported the eigenvalue method (Harker & Vargas, 1987; T. Saaty, 2003; T. Saaty & Hu, 1998; T. Saaty & Vargas, 1984a, 1984b).”
Land Suitability Evaluation Using Fuzzy Continuous Classification (A Case Study: Ziaran Region) (2010, methodology): “The Saaty scale (2003) was used for generation of pairwise comparison matrix Intensity of importance Definition”
A critical analysis of the eigenvalue method used to derive priorities in AHP (2008, background): “The other is that the ordering should also reflect intensity or cardinal preference as indicated by the ratios of the numerical values (. . .)'' (Saaty, 2003, p. 86).”
Achieving matrix consistency in AHP through linearization (2011, methodology): “By using the Saaty scale, if the elements Ci and Cj are considered to be equally ∗Corresponding author.”
CLUSTERS AND PIVOTS FOR EVALUATING A LARGE NUMBER OF ALTERNATIVES IN AHP (2012, methodology): “In fact, the right eigenvalue method, the left eigenvalue method and the geometric mean produce the same result for matrices of order three (Saaty, 2001).”