
In this study, VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR), multi-criteria optimization and compromise solution, is extended using spherical fuzzy sets (SFSs). SFSs were recently introduced as a novel type of fuzzy sets that allows the decision-makers to express their degree of hesitation explicitly. Therefore, SFSs provide a greater preference domain for decision-makers. Spherical fuzzy VIKOR (SFVIKOR) is implemented in four different ways based on two aggregation operators and two proposed ideal solutions. The used aggregation operators are the spherical weighted averaging mean (SWAM) and the spherical weighted geometric mean (SWGM). The proposed ideal solutions are the absolute ideal solution and the relative ideal solution. Both ideal solutions don’t rely on the score function and take the degree of hesitation into account. An illustrative example in supplier selection is solved using SFVIKOR with the four implementations and the results are compared with the results of the spherical fuzzy technique of order preference by similarity to an ideal solution (SFTOPSIS). Then, the stability of the solution is examined under these different implementations.
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