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: HomogeneityDeriving 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 MoreAxiomatic foundation of the Analytic Hierarchy Process
Thomas SaatyJournal: Management scienceThis paper contains an axiomatic treatment of the Analytic Hierarchy Process (AHP). The set of axioms corresponding to hierarchic structures are a special case of axioms for priority setting in systems with feedback which allow for a wide class of dependencies. The axioms highlight: (1) the recip...
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Deriving 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 MoreAxiomatic foundation of the Analytic Hierarchy Process
Thomas SaatyJournal: Management scienceThis paper contains an axiomatic treatment of the Analytic Hierarchy Process (AHP). The set of axioms corresponding to hierarchic structures are a special case of axioms for priority setting in systems with feedback which allow for a wide class of dependencies. The axioms highlight: (1) the recip...
Read More