A Brief Literature Review for Fuzzy AHP



Published Sep 15, 2018
Cengiz Kahraman


AHP is an effective tool for dealing with complex hierarchical decision making problems (Saaty, 1980). It divides a large complex problem into small and easily solvable sub-problems and then combines the solutions of these small problems in order to obtain the solution of the large problem. AHP uses a 1 to 9 scale whose linguistic expressions are defined accordingly. However, the representation of a linguistic term by an exact number may not fully reflect a decision maker’s judgments in his/her mind. Fuzzy numbers and scales have been developed to consider this issue in the literature (Zadeh, 1965). In this essay, a brief literature review on fuzzy AHP studies is given.


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Fuzzy AHP, subject areas

Atanassov, K.T. (1986). Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87-96. Doi: https://doi.org/10.1016/S0165-0114(86)80034-3
Saaty, T. (1980). The Analytic Hierarchy Process. New York: McGraw-Hill.
Scopus Database, Elsevier, 2018.
Smarandache, F. (2003). Neutrosophic set-a generalization of the intuitionistic fuzzy set. International Journal of Pure and Applied Mathematics, 24(3), 287-297.
Torra, V. (2010). Hesitant fuzzy sets. International Journal of Intelligent Systems 25(6), 529-539. Doi: https://doi.org/10.1002/int.20418
Yager, R. and Abbasov, A. (2013). Pythagorean membership grades, complex numbers, and decision making. International. Journal of Intelligent Systems, 28(5), 436-452. Doi: https://doi.org/10.1002/int.21584
Zadeh, L.A. (1965). Fuzzy sets, Information and Control, 8(3), 338-353. Doi: https://doi.org/10.1016/S0019-9958(65)90241-X
Zadeh, L.A. (1975). The concept of a linguistic variable and its application to approximate reasoning, Information Sciences 8(3), 199-249. Doi: https://doi.org/10.1016/0020-0255(75)90036-5
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