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: JudgmentsThe Need for Adding Judgment in Baysian Prediction
Thomas Saaty, Lei ZhangJournal: International Journal of Information Technology & Decision MakingThere are many examples of successful application of the famous Bayes’ theorem to forecast the outcome of causes or influences of events. However, there are also many examples of failures of just using probabilities and statistics without also using judgments in each particular application. This ...
Read MoreDecisions, structure, and natural law
Thomas SaatyJournal: International Journal of the Analytic Hierarchy ProcessThe object here is to show that our thinking processes and our physical forms and those of all things that exist, are a result of response in nature to influences as stimuli, brought about by natural occurrences. The ideas are developed through a generalization of the role judgment plays in decis...
Read MoreAn essay on how judgment and measurement are different in science and in decision making
Thomas SaatyJournal: International Journal of the Analytic Hierarchy ProcessIn decision making the priority scales are derived objectively after subjective judgments are made, and they reflect the importance of the influences we considered. The process is the opposite of what is done in the physical sciences where the subjectivity of interpreting the final number comes a...
Read MoreRelative measurement and its generalization in decision making why pairwise comparisons are central in mathematics for the measurement of intangible factors the Analytic Hierarchy/Network Process
Thomas SaatyJournal: RACSAM-Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. MatematicasAccording to the great mathematician Henri Lebesgue, making direct comparisons of objects with regard to a property is a fundamental mathematical process for deriving measurements. Measuring objects by using a known scale first then comparing the measurements works well for properties for which s...
Read MoreThe analytic hierarchy and analytic network measurement processes: applications to decisions under risk
Thomas SaatyJournal: European Journal of Pure and Applied MathematicsMathematics applications largely depend on scientific practice. In science measurement depends on the use of scales, most frequently ratio scales. A ratio scale there is applied to measure various physical attributes and assumes a zero and an arbitrary unit used uniformly throughout an applicatio...
Read MoreDecision making with the Analytic Hierarchy Process
Thomas SaatyJournal: International journal of services sciencesDecisions involve many intangibles that need to be traded off. To do that, they have to be measured along side tangibles whose measurements must also be evaluated as to, how well, they serve the objectives of the decision maker. The Analytic Hierarchy Process (AHP) is a theory of measurement thro...
Read MoreSome mathematical topics in the Analytic Hierarchy Process
Thomas SaatyJournal: Mathematical models for decision supportDecisions involving several criteria and alternatives need a correct procedure to combine weights to make tradeoffs and select the best alternatives. There are two parts to the problem, both of which need proof. The first is how to generate judgments and associate numbers with them, and the secon...
Read MoreUncertainty and rank order in the Analytic Hierarchy Process
Thomas Saaty, Luis VargasJournal: European Journal of Operational ResearchThe Analytic Hierarchy Process uses paired comparisons to derive a scale of relative importance for alternatives. We investigate the effect of uncertainty in judgment on the stability of the rank order of alternatives. The uncertainty experienced by decision makers in making comparisons is measur...
Read MorePortfolio selection through hierarchies
Thomas Saaty, Paul C. Rogers, Ricardo PellJournal: The journal of portfolio managementThe method we will discuss addresses the huge task of ranking and choosing from among a large set of stocks in order to devide how much of our recources should be allocated to each of the stocks chosen.
Read MoreMathematical modeling of dynamic decisions; priorities and hierarchies with time dependence
Thomas SaatyJournal: Mathematics and computers in SimulationThe question often arises in regard to the use of Analytic Hierarchy Process: What would one do if the judgments where to change? A simple answer to that problem is that one should solve the new problem. But this is not what people usually have in mind. Presumably what they would like is a parame...
Read More
The Need for Adding Judgment in Baysian Prediction
Thomas Saaty, Lei ZhangJournal: International Journal of Information Technology & Decision MakingThere are many examples of successful application of the famous Bayes’ theorem to forecast the outcome of causes or influences of events. However, there are also many examples of failures of just using probabilities and statistics without also using judgments in each particular application. This ...
Read MoreDecisions, structure, and natural law
Thomas SaatyJournal: International Journal of the Analytic Hierarchy ProcessThe object here is to show that our thinking processes and our physical forms and those of all things that exist, are a result of response in nature to influences as stimuli, brought about by natural occurrences. The ideas are developed through a generalization of the role judgment plays in decis...
Read MoreAn essay on how judgment and measurement are different in science and in decision making
Thomas SaatyJournal: International Journal of the Analytic Hierarchy ProcessIn decision making the priority scales are derived objectively after subjective judgments are made, and they reflect the importance of the influences we considered. The process is the opposite of what is done in the physical sciences where the subjectivity of interpreting the final number comes a...
Read MoreRelative measurement and its generalization in decision making why pairwise comparisons are central in mathematics for the measurement of intangible factors the Analytic Hierarchy/Network Process
Thomas SaatyJournal: RACSAM-Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. MatematicasAccording to the great mathematician Henri Lebesgue, making direct comparisons of objects with regard to a property is a fundamental mathematical process for deriving measurements. Measuring objects by using a known scale first then comparing the measurements works well for properties for which s...
Read MoreThe analytic hierarchy and analytic network measurement processes: applications to decisions under risk
Thomas SaatyJournal: European Journal of Pure and Applied MathematicsMathematics applications largely depend on scientific practice. In science measurement depends on the use of scales, most frequently ratio scales. A ratio scale there is applied to measure various physical attributes and assumes a zero and an arbitrary unit used uniformly throughout an applicatio...
Read MoreDecision making with the Analytic Hierarchy Process
Thomas SaatyJournal: International journal of services sciencesDecisions involve many intangibles that need to be traded off. To do that, they have to be measured along side tangibles whose measurements must also be evaluated as to, how well, they serve the objectives of the decision maker. The Analytic Hierarchy Process (AHP) is a theory of measurement thro...
Read MoreSome mathematical topics in the Analytic Hierarchy Process
Thomas SaatyJournal: Mathematical models for decision supportDecisions involving several criteria and alternatives need a correct procedure to combine weights to make tradeoffs and select the best alternatives. There are two parts to the problem, both of which need proof. The first is how to generate judgments and associate numbers with them, and the secon...
Read MoreUncertainty and rank order in the Analytic Hierarchy Process
Thomas Saaty, Luis VargasJournal: European Journal of Operational ResearchThe Analytic Hierarchy Process uses paired comparisons to derive a scale of relative importance for alternatives. We investigate the effect of uncertainty in judgment on the stability of the rank order of alternatives. The uncertainty experienced by decision makers in making comparisons is measur...
Read MorePortfolio selection through hierarchies
Thomas Saaty, Paul C. Rogers, Ricardo PellJournal: The journal of portfolio managementThe method we will discuss addresses the huge task of ranking and choosing from among a large set of stocks in order to devide how much of our recources should be allocated to each of the stocks chosen.
Read MoreMathematical modeling of dynamic decisions; priorities and hierarchies with time dependence
Thomas SaatyJournal: Mathematics and computers in SimulationThe question often arises in regard to the use of Analytic Hierarchy Process: What would one do if the judgments where to change? A simple answer to that problem is that one should solve the new problem. But this is not what people usually have in mind. Presumably what they would like is a parame...
Read More