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: EigenfunctionNeurons the decision makers, Part II: The firings of many neurons and their density; the neural network its connections and field of firings
Thomas SaatyJournal: Neural Networks This paper is concerned with the firing of many neurons and the synthesis of these firings to develop functions and their transforms which relate chemical and electrical phenomena to the physical world. The density of such functions in the most general spaces that we encounter allows us to use li...
Read MoreContinuous pairwise comparisons
Thomas SaatyJournal: Fundamenta InformaticaeOne often assumes that comparisons are discrete and carried out in a matrix of numbers. However, our eyes and other senses perform comparisons in a continuous way by making many simultaneously. Here the mathematics of pairwise comparisons is generalized to the continuous case. It is more likely t...
Read MoreOn the measurement of intengibles. A principal eigenvector approach to relative measurement derived from paired comparisons
Thomas SaatyJournal: Notices of the American Mathematical SocietyNearly all of us have been brought up to believe that clear-headed logical thinking is our only sure way to face and solve problems. But experience suggests that logical thinking is not natural to us. Indeed, we have to practice, and for a long time, before we can do it well. Since complex proble...
Read MoreDeriving the AHP 1-9 scale from first principles
Thomas SaatyJournal: Proceedings of the Sixth International Symposium on the Analytic Hierarchy ProcessWe demonstrate how the integers 1 to 9 used in the Fundamental Scale of the AHP to represent pairwise comparison judgments can be derived from stimulus-response theory. The conditions required for the stability of the eigenvector of priorities, known from the mathematics literature, are briefly m...
Read MorePriority setting in complex problems
Thomas SaatyJournal: IEEE Transactions on Engineering ManagementThere are three principles which one can recognize in problem solving. They are the principles of decomposition, comparative judgments, and synthesis of priorities. The Analytic Hierarchy Process (AHP) provides a comprehensive framework to cope with the intuitive, the rational, and the irrational...
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Neurons the decision makers, Part II: The firings of many neurons and their density; the neural network its connections and field of firings
Thomas SaatyJournal: Neural Networks This paper is concerned with the firing of many neurons and the synthesis of these firings to develop functions and their transforms which relate chemical and electrical phenomena to the physical world. The density of such functions in the most general spaces that we encounter allows us to use li...
Read MoreContinuous pairwise comparisons
Thomas SaatyJournal: Fundamenta InformaticaeOne often assumes that comparisons are discrete and carried out in a matrix of numbers. However, our eyes and other senses perform comparisons in a continuous way by making many simultaneously. Here the mathematics of pairwise comparisons is generalized to the continuous case. It is more likely t...
Read MoreOn the measurement of intengibles. A principal eigenvector approach to relative measurement derived from paired comparisons
Thomas SaatyJournal: Notices of the American Mathematical SocietyNearly all of us have been brought up to believe that clear-headed logical thinking is our only sure way to face and solve problems. But experience suggests that logical thinking is not natural to us. Indeed, we have to practice, and for a long time, before we can do it well. Since complex proble...
Read MoreDeriving the AHP 1-9 scale from first principles
Thomas SaatyJournal: Proceedings of the Sixth International Symposium on the Analytic Hierarchy ProcessWe demonstrate how the integers 1 to 9 used in the Fundamental Scale of the AHP to represent pairwise comparison judgments can be derived from stimulus-response theory. The conditions required for the stability of the eigenvector of priorities, known from the mathematics literature, are briefly m...
Read MorePriority setting in complex problems
Thomas SaatyJournal: IEEE Transactions on Engineering ManagementThere are three principles which one can recognize in problem solving. They are the principles of decomposition, comparative judgments, and synthesis of priorities. The Analytic Hierarchy Process (AHP) provides a comprehensive framework to cope with the intuitive, the rational, and the irrational...
Read More