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: HierarchiesRelative 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 MoreMulticriterion decisions in systems with feedback
Thomas SaatyJournal: Mathematical Modelling in Science and TechnologyThe process of setting priorities in systems with a network structure is more complex than it is in a hierarchy which is essentially linear. The composition of priorities in a hierarchy is a special case of composition in a system. Simple examples of composition in hierarchies with cycles between...
Read MoreHigher education in the United States (1985–2000): Scenario construction using a hierarchical framework with eigenvector weighting
Thomas Saaty, Paul C. RogersJournal: Socio-Economic Planning SciencesThe object of this paper is to illustrate an application of hierarchies and eigenvalues developed by the first author to the area of planning in higher education. We start with a brief discussion of the role of scenario construction in planning and follow it with a discussion of the role of hiera...
Read MoreExploring the interface between hierarchies, multiple objectives and fuzzy sets
Thomas SaatyJournal: Fuzzy sets and systemsThe complexity of experience acquired through our senses and as interpreted by our mind, is fuzzy and must remain so as long as the meaning of things change as they are embedded in larger or different contexts to relate them to new ideas and new experiences. Here we give a method for measuring th...
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Relative 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 MoreMulticriterion decisions in systems with feedback
Thomas SaatyJournal: Mathematical Modelling in Science and TechnologyThe process of setting priorities in systems with a network structure is more complex than it is in a hierarchy which is essentially linear. The composition of priorities in a hierarchy is a special case of composition in a system. Simple examples of composition in hierarchies with cycles between...
Read MoreHigher education in the United States (1985–2000): Scenario construction using a hierarchical framework with eigenvector weighting
Thomas Saaty, Paul C. RogersJournal: Socio-Economic Planning SciencesThe object of this paper is to illustrate an application of hierarchies and eigenvalues developed by the first author to the area of planning in higher education. We start with a brief discussion of the role of scenario construction in planning and follow it with a discussion of the role of hiera...
Read MoreExploring the interface between hierarchies, multiple objectives and fuzzy sets
Thomas SaatyJournal: Fuzzy sets and systemsThe complexity of experience acquired through our senses and as interpreted by our mind, is fuzzy and must remain so as long as the meaning of things change as they are embedded in larger or different contexts to relate them to new ideas and new experiences. Here we give a method for measuring th...
Read More