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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 896))

Abstract

In this paper, we propose a Z-number based TOPSIS method for multi-criteria decision making problem. Nowadays, a large diversity of approaches to multi-criteria decision making problems with uncertainty information and imperfect information exists. In view of this, Zadeh’s Z-number theory is a very effective tool, but, up to day, there is no TOPSIS method which operates Z-number without conversion to fuzzy or crisp number. The existing Z-TOPSIS methods can’t incorporate or only approximately reflect the advantage of Z-information and the properties of Z-number. Therefore, this article has offered a Z-TOPSIS method applying Z-numbers in a direct way. The presented method is applied to the vehicle choice problem. All the calculations are performed by using a Z-number software tool. The obtained results show applicability and validity of the proposed approach.

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Correspondence to Latafat A. Gardashova .

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Gardashova, L.A. (2019). Z-Number Based TOPSIS Method in Multi-Criteria Decision Making. In: Aliev, R., Kacprzyk, J., Pedrycz, W., Jamshidi, M., Sadikoglu, F. (eds) 13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018. ICAFS 2018. Advances in Intelligent Systems and Computing, vol 896. Springer, Cham. https://doi.org/10.1007/978-3-030-04164-9_10

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