Abstract—An extension to fuzzy VIKOR is proposed, where membership functions of fuzzy weighted weightings can be derived. The proposed extension can resolve the limitation of using approximation to represent multiplication of two positive triangular fuzzy numbers in existing methods. The total integral value is used to rank fuzzy numbers and formulas of ranking procedure are presented to help complete the proposed model. Finally, a numerical example is used to demonstrate the feasibility of the proposed extension.

Keywords—Fuzzy VIKOR, membership functions, total integral value, ranking

Cite: Ta-Chung Chu, "Ranking Alternatives by an Extension to Fuzzy VIKOR," International Journal of Applied Physics and Mathematics, vol. 14, no. 4, pp. 125-134, 2024.

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