Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
The Paradoxical Success of Fuzzy Logic
IEEE Expert: Intelligent Systems and Their Applications
Computers & Mathematics with Applications
Computers and Industrial Engineering
Inconsistency of pair-wise comparison matrix with fuzzy elements based on geometric mean
Fuzzy Sets and Systems
How to handle uncertainties in AHP: The Cloud Delphi hierarchical analysis
Information Sciences: an International Journal
Empirical make-or-buy decision making model in the Japanese automobile industry
Proceedings of the Winter Simulation Conference
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Fuzzy set theory has serious difficulties in producing valid answers in decision-making by fuzzifying judgments. No theorems are available about its workability when it is applied indiscriminately as a number crunching approach to numerical measurements that represent judgments. When judgments are allowed to vary in choice over the values of a fundamental scale, as in the Analytic Hierarchy Process, these judgments are themselves already fuzzy. To make them fuzzier can make the validity of the outcome, when the actual outcome is known, worse, as shown by several examples in this paper. Also, improving the consistency of a judgment matrix does not necessarily improve the validity of the outcome. Validity is the goal in decision-making, not consistency, which can be successively improved by manipulating the judgments as the answer gets farther and farther from reality. An example of this is included.