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: PrioritiesThe Modern Science of Multicriteria Decision Making and Its Practical Applications: The AHP/ANP Approach
Thomas SaatyJournal: Operations ResearchThis paper presents a summary of the discrete mathematical part of my work, the Analytic Hierarchy Process (AHP) and its generalization to dependence and feedback, the Analytic Network Process (ANP), for measuring tangible and intangible factors, particularly as applied to decision making. The fa...
Read MoreThe 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 MoreAn essay on rank preservation and reversal
Thomas Saaty, Mujgan Sagir OzdemirJournal: Mathematical and Computer ModellingRank preservation and reversal, so fundamental in decision making, have been an unresolved issue in the field of economics and utility theory and came into focus when the Analytic Hierarchy Process was developed because it uses paired comparisons that inevitably make the priorities of the alterna...
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 MoreMaking decisions in hierarchic and network systems
Thomas Saaty, Mariya SodenkampJournal: International Journal of Applied Decision SciencesThis paper summarises a mathematical theory of the measurement of both tangible and intangible factors, the Analytic Hierarchy Process (AHP) and its generalisation to dependence and feedback, the Analytic Network Process (ANP) and illustrates their application to making complex multicriteria deci...
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 MoreRank 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 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 MorePriority as dominance in derived measurement: Invariance of the principal eigenvector
Mujgan Sagir Ozdemir, Thomas SaatyRanking is a process of prioritization. Priorities, as measurement rather than pure guessing, can be derived from paired comparison judgments that generalize on ratios of actual measurements. Paired comparisons involve the selection of the smaller of the two objects being compared as the unit and...
Read MoreThe allocation of intangible resources: the Analytic Hierarchy Process and linear programming
Thomas Saaty, Luis Vargas, Klaus DellmannJournal: Socio-Economic Planning SciencesAn intangible is an attribute that has no scale of measurement. Intangibles such as effort and skill arise in conjunction with resource allocation but are not usually included directly in a mathematical model because of the absence of a unit of measurement. However, intangibles can be quantified ...
Read MoreDependence and independence: From linear hierarchies to nonlinear networks
Thomas Saaty, Masahiro TakizawaJournal: European journal of operational researchMost decisions need to be free from assumptions of independence to be faithful to the complex problems in which they arise. This paper illustrates how to generate priorities for decisions involving general types of dependence of criteria on alternatives, criteria on criteria and alternatives on a...
Read MoreTheory of measurement of impacts and interactions in systems
Thomas SaatyJournal: Systems Methodology in Social Science ResearchWhat is being frequently tested in society today is not our engineering skill or our ability to bring technology to bear on life’s problems, but our sense of priorities and our capacity to make trade-offs between various factors that have an impact on life. The trade-offs cannot all be measured i...
Read MoreDeforestation and the development of the Iranian wood industry
Majid AziziJournal: OR InsightThe raw materials of Iran's plywood industry are procured from the northern forests of Iran, and development of the plywood industry is intensively related to the situation of these forests. Previous research has indicated that the future development and location of plywood units in Iran will...
Read More
The Modern Science of Multicriteria Decision Making and Its Practical Applications: The AHP/ANP Approach
Thomas SaatyJournal: Operations ResearchThis paper presents a summary of the discrete mathematical part of my work, the Analytic Hierarchy Process (AHP) and its generalization to dependence and feedback, the Analytic Network Process (ANP), for measuring tangible and intangible factors, particularly as applied to decision making. The fa...
Read MoreThe 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 MoreAn essay on rank preservation and reversal
Thomas Saaty, Mujgan Sagir OzdemirJournal: Mathematical and Computer ModellingRank preservation and reversal, so fundamental in decision making, have been an unresolved issue in the field of economics and utility theory and came into focus when the Analytic Hierarchy Process was developed because it uses paired comparisons that inevitably make the priorities of the alterna...
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 MoreMaking decisions in hierarchic and network systems
Thomas Saaty, Mariya SodenkampJournal: International Journal of Applied Decision SciencesThis paper summarises a mathematical theory of the measurement of both tangible and intangible factors, the Analytic Hierarchy Process (AHP) and its generalisation to dependence and feedback, the Analytic Network Process (ANP) and illustrates their application to making complex multicriteria deci...
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 MoreRank 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 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 MorePriority as dominance in derived measurement: Invariance of the principal eigenvector
Mujgan Sagir Ozdemir, Thomas SaatyRanking is a process of prioritization. Priorities, as measurement rather than pure guessing, can be derived from paired comparison judgments that generalize on ratios of actual measurements. Paired comparisons involve the selection of the smaller of the two objects being compared as the unit and...
Read MoreThe allocation of intangible resources: the Analytic Hierarchy Process and linear programming
Thomas Saaty, Luis Vargas, Klaus DellmannJournal: Socio-Economic Planning SciencesAn intangible is an attribute that has no scale of measurement. Intangibles such as effort and skill arise in conjunction with resource allocation but are not usually included directly in a mathematical model because of the absence of a unit of measurement. However, intangibles can be quantified ...
Read MoreDependence and independence: From linear hierarchies to nonlinear networks
Thomas Saaty, Masahiro TakizawaJournal: European journal of operational researchMost decisions need to be free from assumptions of independence to be faithful to the complex problems in which they arise. This paper illustrates how to generate priorities for decisions involving general types of dependence of criteria on alternatives, criteria on criteria and alternatives on a...
Read MoreTheory of measurement of impacts and interactions in systems
Thomas SaatyJournal: Systems Methodology in Social Science ResearchWhat is being frequently tested in society today is not our engineering skill or our ability to bring technology to bear on life’s problems, but our sense of priorities and our capacity to make trade-offs between various factors that have an impact on life. The trade-offs cannot all be measured i...
Read MoreDeforestation and the development of the Iranian wood industry
Majid AziziJournal: OR InsightThe raw materials of Iran's plywood industry are procured from the northern forests of Iran, and development of the plywood industry is intensively related to the situation of these forests. Previous research has indicated that the future development and location of plywood units in Iran will...
Read More