Z-Number Based TOPSIS Method in Multi-Criteria Decision Making

  • Latafat A. Gardashova
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 896)


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.


Z-TOPSIS Fuzzy number Z-number Vehicle choice problem 


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Azerbaijan State Oil and Industry UniversityBakuAzerbaijan

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