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: SynthesisMaking 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 MoreThe possibility of group welfare functions
Thomas Saaty, Luis VargasJournal: International Journal of Information Technology & Decision MakingThis paper gives a brief overview of the well-known impossibility-possibility theorem in constructing a social welfare function from individual functions. The Analytic Hierarchy Process uses a fundamental scale of absolute numbers to represent judgments about dominance in paired comparisons. It i...
Read MoreA model of neural impulse firing and synthesis
Thomas Saaty, Luis VargasJournal: Journal of Mathematical PsychologyNeurons are decision makers that decide from instant to instant whether to fire or not to fire based on information received through neurotransmitter electric charge. In firing they accomplish two goals. First, they pass information to other neurons which in their turn make a decision to fire or ...
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 MoreProcedures for synthesizing ratio judgements
J. Aczel, Thomas SaatyJournal: Journal of mathematical PsychologyRequirements which seem reasonable for functions synthesizing judgements (quantities or their ratios), in particular separability, associativity or bisymmetry, cancellativity, consensus, reciprocal or homogeneity properties are investigated and all functions satisfying them are determined.
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Making 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 MoreThe possibility of group welfare functions
Thomas Saaty, Luis VargasJournal: International Journal of Information Technology & Decision MakingThis paper gives a brief overview of the well-known impossibility-possibility theorem in constructing a social welfare function from individual functions. The Analytic Hierarchy Process uses a fundamental scale of absolute numbers to represent judgments about dominance in paired comparisons. It i...
Read MoreA model of neural impulse firing and synthesis
Thomas Saaty, Luis VargasJournal: Journal of Mathematical PsychologyNeurons are decision makers that decide from instant to instant whether to fire or not to fire based on information received through neurotransmitter electric charge. In firing they accomplish two goals. First, they pass information to other neurons which in their turn make a decision to fire or ...
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 MoreProcedures for synthesizing ratio judgements
J. Aczel, Thomas SaatyJournal: Journal of mathematical PsychologyRequirements which seem reasonable for functions synthesizing judgements (quantities or their ratios), in particular separability, associativity or bisymmetry, cancellativity, consensus, reciprocal or homogeneity properties are investigated and all functions satisfying them are determined.
Read More