A New Interval Type-2 Fuzzy VIKOR Method for Multi-attribute Decision Making

A new signed area method combined with VIKOR (Vlsekriterijumska Optimizacija I Kompromisno Resenje) is proposed for multi-attribute decision-making problems under the environment of interval type-2 fuzzy sets. First, a new signed area function of interval type-2 fuzzy sets is defined and the ranking score method based on the signed area function is proposed, subsequently. Then, we convert the matrix of interval type-2 fuzzy numbers to ranking score values matrix and some theorems of the ranking score method are presented and proved. Furthermore, the decision-making steps combined with VIKOR are given in detail and the comparative analysis with the signed distance method is conducted to show the advantages of our method. Finally, we perform a sensitivity analysis to show the stability of the proposed approach and the effectiveness of our method is illustrated by comparing with other methods.