Papers
This section presents a collection of AHP/ANP papers. Whether you are a student, academic and/or professional in the field of decision making, you can help us expand this collection by sharing your papers on decision making with the Analytic Hierarchy Process (AHP) and the Analytic Network Process (ANP).
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Paper results for keyword: Principal eigenvectorThe Eigenvector in lay language
Thomas SaatyJournal: International Journal of the Analytic Hierarchy ProcessDecision making depends on identifying a structure of criteria and alternatives of a decision. It also depends on experience and judgments to select the best alternative. In the Analytic Hierarchy Process (AHP) for decision making the criteria and alternatives are prioritized by forming matrices ...
Read MoreDecision-making with the AHP: Why is the principal eigenvector necessary
Thomas SaatyJournal: European journal of operational researchIn this paper it is shown that the principal eigenvector is a necessary representation of the priorities derived from a positive reciprocal pairwise comparison judgment matrix A=(aij) when A is a small perturbation of a consistent matrix. When providing numerical judgments, an individual attempts...
Read MoreInconsistency and rank preservation
Thomas Saaty, Luis VargasJournal: Journal of Mathematical PsychologyConditions for rank preservation in a positive reciprocal matrix that is inconsistent are provided. Three methods of deriving ratio estimates are examined: the eigenvalue, the logarithmic least squares, and the least squares methods. It is shown that only the principal eigenvector directly deals ...
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The Eigenvector in lay language
Thomas SaatyJournal: International Journal of the Analytic Hierarchy ProcessDecision making depends on identifying a structure of criteria and alternatives of a decision. It also depends on experience and judgments to select the best alternative. In the Analytic Hierarchy Process (AHP) for decision making the criteria and alternatives are prioritized by forming matrices ...
Read MoreDecision-making with the AHP: Why is the principal eigenvector necessary
Thomas SaatyJournal: European journal of operational researchIn this paper it is shown that the principal eigenvector is a necessary representation of the priorities derived from a positive reciprocal pairwise comparison judgment matrix A=(aij) when A is a small perturbation of a consistent matrix. When providing numerical judgments, an individual attempts...
Read MoreInconsistency and rank preservation
Thomas Saaty, Luis VargasJournal: Journal of Mathematical PsychologyConditions for rank preservation in a positive reciprocal matrix that is inconsistent are provided. Three methods of deriving ratio estimates are examined: the eigenvalue, the logarithmic least squares, and the least squares methods. It is shown that only the principal eigenvector directly deals ...
Read More