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 author: Liem Tran
Fuzzy judgments and fuzzy sets
Thomas Saaty, Liem TranJournal: International Journal of Strategic Decision Sciences Using fuzzy set theory has become attractive to many people. However, the many references cited here and in other works, little thought is given to why numbers should be made fuzzy before plunging into the necessary simulations to crank out numbers without giving reason or proof that it works to ...
Read MoreOn the invalidity of fuzzifying numerical judgments in the Analytic Hierarchy Process
Thomas Saaty, Liem TranJournal: Mathematical and Computer ModellingFuzzy 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 ar...
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