doi: 10.17706/ijapm.2024.14.4.125-134
Ranking Alternatives by an Extension to Fuzzy VIKOR
Ta-Chung Chu
- Department of Industrial Management and Information, Southern Taiwan University of Science and Technology, Taiwan.
- Manuscript received February 6, 2024
- revised March 29, 2024
- accepted June 26, 2024
- published December 24, 2024
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
How to 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. https://doi.org/ 10.17706/ijapm.2024.14.4.125-134
Copyright & License
Copyright © 2024 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).