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: Dependence

How to Handle Dependence with the Analytic Hierarchy Process

Thomas Saaty
Journal: Mathematical Modelling
Hierarchic and network systems are discussed as basic frameworks of unstructured problems modeled by the Analytic Hierarchy Process. A hierarchy represents a linear chain of interactions, whereas a network allows for feedback in the form of cycles and loops. A theory is provided for the prioritie...

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Dependence and independence: From linear hierarchies to nonlinear networks

Thomas Saaty, Masahiro Takizawa
Journal: European journal of operational research
Most 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...

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Axiomatic foundation of the Analytic Hierarchy Process

Thomas Saaty
Journal: Management science
This 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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