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: Fuzzy

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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The legitimacy of rank reversal

Thomas Saaty, Luis Vargas
Journal: Omega
WE ARE GLAD to be finally'answering Belton and Gear's concerns expressed in their article in Omega [l]. There are two points they make in their letter. The first has to do with rank reversal, and the second with how to ask the question by minimizing fuzziness. Our response is organized into four ...

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