On the invalidity of fuzzifying numerical judgments in the Analytic Hierarchy Process

By Thomas L. Saaty, Liem T. Tran. Mathematical and computer modelling, 2007

499 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Management of Technology and Innovation, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/cf439b93b85ee5a28d504750049975a7b3ad5a54

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In Artificial Intelligence

In Management of Technology and Innovation

In Management Science and Operations Research

Citations in the corpus

Criteria in AHP: A Systematic Review of Literature (2015, unknown): “Regarding FAHP, Saaty [43] said that consistency ratio (CR) of the pairwise comparison matrix is a measure used in AHP to improve the validity of the outcome, i.e., when a matrix of comparison has inconsistency, the decision maker must change his/her opinion about some comparison to improve the cons”
Fuzzy logic modifications of the Analytic Hierarchy Process (2017, unknown): “[Saaty and Tran (2007)] ARC-2013 Shapiro & Koissi, Fuzzy Logic Modifications of the AHP 6 1 2 K 1 2 K 1 2 K A|C A|C A|C C|G A|G 1 11 1 1 A|C A|C A|C C|G A|G 2 22 1 2 A|C A|C A|C C|G A|G K nn n n w ww w w w ww w w w ww w w ⎡ ⎤ ⎡ ⎤ ⎡ ⎤ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥= ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥⎢ ⎥ ⎣ ⎦ ⎣…”
Introduction to the Analytic Hierarchy Process (2014, background): “Saaty and Tran [115] criticized the fuzzy AHP by saying that the traditional and real valued AHP suffices to account for all the imprecision in human judgments.”
The analytic hierarchy and analytic network measurement processes: Applications to decisions under Risk (2007, background): “To fuzzify it further does not improve the outcome as we have shown through numerous examples [5].”
Relative measurement and its generalization in decision making why pairwise comparisons are central in mathematics for the measurement of intangible factors the analytic hierarchy/network process (2008, background): “To fuzzify it further does not improve the outcome as we have shown through numerous examples [15].”
The Analytic Hierarchy and Analytic Network Measurement Processes: The Measurement of Intangibles Decision Making under Benefits, Opportunities, Costs and Risks (2010, background): “By the time this analysis was done, China signed bilateral agreements with 30 countries - including the US (November 1999) - out of 37 members that had requested a trade deal with it [8].”