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: CompatibilityThere is no mathematical validity for using fuzzy number crunching in the Analytic Hierarchy Process
Thomas SaatyJournal: Journal of Systems Science and Systems EngineeringFuzzy 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...
Read MoreA ratio scale metric and the compatibility of ratio scales: The possibility of arrow's impossibility theorem
Thomas SaatyJournal: Applied Mathematics LettersWe develop a metric for ratio scales and explore the notion of compatibility of two sets of measurements of a set of objects or properties on a ratio scale. We briefly address Arrow's impossibility theorem. We maintain that it is not as impossible as claimed when, as in reality, a certain degree ...
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There is no mathematical validity for using fuzzy number crunching in the Analytic Hierarchy Process
Thomas SaatyJournal: Journal of Systems Science and Systems EngineeringFuzzy 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...
Read MoreA ratio scale metric and the compatibility of ratio scales: The possibility of arrow's impossibility theorem
Thomas SaatyJournal: Applied Mathematics LettersWe develop a metric for ratio scales and explore the notion of compatibility of two sets of measurements of a set of objects or properties on a ratio scale. We briefly address Arrow's impossibility theorem. We maintain that it is not as impossible as claimed when, as in reality, a certain degree ...
Read More