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: Rank PreservationRank from comparisons and from ratings in the Analytic Hierarchy/Network Processes
Thomas SaatyJournal: European Journal of Operational ResearchRank preservation and reversal are important subjects in multi-criteria decision-making particularly if a theory uses only one of two ways of creating priorities: rating alternatives one at a time with respect to an ideal or standard, or comparing them in pairs. It is known that our minds can do ...
Read MoreThe seven pillars of the Analytic Hierarchy Process
Thomas SaatyJournal: Multiple Criteria Decision Making in the New Millennium The seven pillars of the AHP, some highlights of which are discussed in the paper, are: 1) ratio scales derived from reciprocal paired comparisons; 2) paired comparisons and the psychophysical origin of the fundamental scale used to make the comparisons; 3) conditions for sensitivity of the eigen...
Read MoreExperiments on rank preservation and reversal in relative measurement
Thomas Saaty, Luis VargasJournal: Mathematical and computer modellingWe show through simulation that three methods of scaling, distributive (uniqueness is important), ideal (uniqueness is not important), and utility (use of interval scales for the ideal) modes, yield the same ranking of alternatives with surprisingly high frequency, except for the case of copies o...
Read MorePrinciples of the Analytic Hierarchy Process
Thomas SaatyJournal: Expert judgment and expert systemsCognitive psychologists have classified thinking into two types. This division has gone by many names. Aristotle referred to it as active versus passive reason [35]; Freud [10] as secondary versus primary process thinking; and Hobbes [14] as thought with or without “designe.” More recently the di...
Read MoreRank Generation, Preservation, and Reversal in the Analytic Hierarchy Decision Process
Thomas SaatyJournal: Decision sciencesDecision making has the objective of finding the best alternative or set of alternatives by considering a number of goals, objectives, criteria, competitors, and other important factors. The analytic hierarchy process is a decision aid used to assist a decision maker in sorting out the complexity...
Read MoreNew light on the theorem of perron
Thomas SaatyJournal: Trabajos de Estadistica Y de Investigacion OperativaWe prove that the principal eigenvector of a positive matrix represents the relative dominance of its rows of ranking of alternatives in a decision represented by the rows of a pairwise comparison matrix.
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 MoreThe legitimacy of rank reversal
Thomas Saaty, Luis VargasJournal: OmegaWE ARE GLAD to be finally'answering Belton and Gear's concerns expressed in their article in Omega [l]. There are two points they make in their letter. The first has to do with rank reversal, and the second with how to ask the question by minimizing fuzziness. Our response is organized into four ...
Read MoreThe priorities of human being's decision making
Min-Suk YoonJournal: IJAHPIn order to honor Thomas Saaty, the developer of Analytic Hierarchy Process (AHP)/ Analytic Network Process (ANP), and focus on the paper he wrote just before he died, this essay mentions the rank order problem due to the addition/deletion of irrelevant alternatives over which there were controve...
Read More
Rank from comparisons and from ratings in the Analytic Hierarchy/Network Processes
Thomas SaatyJournal: European Journal of Operational ResearchRank preservation and reversal are important subjects in multi-criteria decision-making particularly if a theory uses only one of two ways of creating priorities: rating alternatives one at a time with respect to an ideal or standard, or comparing them in pairs. It is known that our minds can do ...
Read MoreThe seven pillars of the Analytic Hierarchy Process
Thomas SaatyJournal: Multiple Criteria Decision Making in the New Millennium The seven pillars of the AHP, some highlights of which are discussed in the paper, are: 1) ratio scales derived from reciprocal paired comparisons; 2) paired comparisons and the psychophysical origin of the fundamental scale used to make the comparisons; 3) conditions for sensitivity of the eigen...
Read MoreExperiments on rank preservation and reversal in relative measurement
Thomas Saaty, Luis VargasJournal: Mathematical and computer modellingWe show through simulation that three methods of scaling, distributive (uniqueness is important), ideal (uniqueness is not important), and utility (use of interval scales for the ideal) modes, yield the same ranking of alternatives with surprisingly high frequency, except for the case of copies o...
Read MorePrinciples of the Analytic Hierarchy Process
Thomas SaatyJournal: Expert judgment and expert systemsCognitive psychologists have classified thinking into two types. This division has gone by many names. Aristotle referred to it as active versus passive reason [35]; Freud [10] as secondary versus primary process thinking; and Hobbes [14] as thought with or without “designe.” More recently the di...
Read MoreRank Generation, Preservation, and Reversal in the Analytic Hierarchy Decision Process
Thomas SaatyJournal: Decision sciencesDecision making has the objective of finding the best alternative or set of alternatives by considering a number of goals, objectives, criteria, competitors, and other important factors. The analytic hierarchy process is a decision aid used to assist a decision maker in sorting out the complexity...
Read MoreNew light on the theorem of perron
Thomas SaatyJournal: Trabajos de Estadistica Y de Investigacion OperativaWe prove that the principal eigenvector of a positive matrix represents the relative dominance of its rows of ranking of alternatives in a decision represented by the rows of a pairwise comparison matrix.
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 MoreThe legitimacy of rank reversal
Thomas Saaty, Luis VargasJournal: OmegaWE ARE GLAD to be finally'answering Belton and Gear's concerns expressed in their article in Omega [l]. There are two points they make in their letter. The first has to do with rank reversal, and the second with how to ask the question by minimizing fuzziness. Our response is organized into four ...
Read MoreThe priorities of human being's decision making
Min-Suk YoonJournal: IJAHPIn order to honor Thomas Saaty, the developer of Analytic Hierarchy Process (AHP)/ Analytic Network Process (ANP), and focus on the paper he wrote just before he died, this essay mentions the rank order problem due to the addition/deletion of irrelevant alternatives over which there were controve...
Read More