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: Validation

Making and validating complex decisions with the AHP/ANP

Thomas Saaty
Journal: Journal of Systems Science and Systems Engineering
Several examples that serve to validate the AHP/ANP with matrices hierarchies and networks are given in this paper. They are then followed by a discussion of the real numbers and how they are generated without the need for an absolute zero, and how they define an absolute scale of measurement tha...

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There is no mathematical validity for using fuzzy number crunching in the Analytic Hierarchy Process

Thomas Saaty
Journal: Journal of Systems Science and Systems Engineering
Fuzzy logic has difficulty producing valid answers in decision-making. Absent are theorems to prove that it works to produce results already known that are being estimated with judgments by transforming such judgments numerically. The numerical representation of judgments in the AHP is already fu...

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