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: Least squaresInconsistency 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 MoreComparison of eigenvalue, logarithmic least squares and least squares methods in estimating ratios
Thomas Saaty, Luis VargasJournal: Mathematical modellingThree methods—the eigenvalue, logarithmic least squares, and least squares methods—used to derive estimates of ratio scales from a positive reciprocal matrix are analyzed. The criteria for comparison are the measurement of consistency, dual solutions, and rank preservation. It is shown that the e...
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Inconsistency 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 MoreComparison of eigenvalue, logarithmic least squares and least squares methods in estimating ratios
Thomas Saaty, Luis VargasJournal: Mathematical modellingThree methods—the eigenvalue, logarithmic least squares, and least squares methods—used to derive estimates of ratio scales from a positive reciprocal matrix are analyzed. The criteria for comparison are the measurement of consistency, dual solutions, and rank preservation. It is shown that the e...
Read More