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Multi-attribute decision-making method based on interval-valued intuitionistic fuzzy sets and D-S theory of evidence

The theory of interval-valued intuitionistic fussy sets is now widely studied to deal with vagueness and D-S theory of evidence has a widespread use in multi-attribute decision-making (MADM) problems under uncertain situation. In this paper, A new method based on interval-valued intuitionistic fuzzy sets and D-S theory of evidence is proposed to handle MADM problems. In our method, the interval-valued intuitionistic fuzzy numbers are represented by the interval average numbers. These average numbers are assigned to corresponding basic probability assignment (bpa) based on discounting method. Then the D-S combination rule is used to fuse information in order to obtain final mass functions for each alternative, thus the order of each alternative is obtained. A numerical example is used to illustrate the efficiency of the proposed method.