Approaches to consistency adjustment
Journal of Optimization Theory and Applications
Multicriteria decision analysis with fuzzy pairwise comparisons
Fuzzy Sets and Systems
Remarks on the analytic hierarchy process
Management Science
Evaluating weapon system by Analytical Hierarchy Process based on fuzzy scales
Fuzzy Sets and Systems
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy least-squares priority method in the analytic hierarchy process
Fuzzy Sets and Systems
The Analytic Hierarchy Process--An Exposition
Operations Research
Deriving priorities from fuzzy pairwise comparison judgements
Fuzzy Sets and Systems - Optimisation and decision
Combining different prioritization methods in the analytic hierarchy process synthesis
Computers and Operations Research
On the decomposition of value functions11Research supported in part by NSERC.
Operations Research Letters
Information Sciences: an International Journal
A new approach to mining method selection based on modifying the Nicholas technique
Applied Soft Computing
A linguistic evaluation approach for universal design
Information Sciences: an International Journal
An improved fuzzy preference programming to evaluate entrepreneurship orientation
Applied Soft Computing
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We show that a recently discovered fundamental problem with the Analytic Hierarchy Process (AHP) concerning the meaning of the resultant preference intensities is also evident for the fuzzy AHP. We prove that if there is a judgmental inconsistency in the fuzzy pair-wise comparisons, it is impossible to ensure the preservation of the order regarding to preference intensities in the resultant priority vector. Further, it is shown with an example from the published literature that the order of the preference intensities may not be preserved even there is no inconsistency in the judgment set, albeit it is possible to comply with this order via using fuzzy preference programming (FPP) methodology. Finally, it is proved that if the interval judgments regarding to the decompositions of original judgments to @a- level sets are consistent, FPP guarantees the preservation of the order of the preference intensities at those levels.