Power Muirhead mean operators of interval-valued intuitionistic fuzzy values in the framework of Dempster–Shafer theory for multiple criteria decision-making

Multiple criteria decision-making (MCDM) based on interval intuitionistic fuzzy value (IVIFV) is a process of aggregating decision represented by multiple interval-valued numbers to select the optimal alternative. Among them, an aggregation operator indispensable tool, and properties directly affect results. Existing operators IVIFV have satisfactory results in eliminating correlation between removing influence outliers However, there are some unreasonable due undesired IVIFVs. In this paper, operation under Dempster-Shafer theory (DST) framework applied combine power average Muirhead mean DST presented. Then method presented for MCDM problems proposed. Finally, set numerical experiments conducted demonstrate proposed method. The experimental suggest that not only retains robustness capability operator, but also eliminates shortcoming existing cannot handle case where weights