Z-number based topsis method in multi-criteria decision making

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.