Multiple attribute group decision making based on interval type-2 fuzzy cross-entropy and ranking value

In this paper, we focus our attention on the issue of MAGDM under interval type-2 fuzzy environment where all the information provided by the decision makers is characterized by IT2FSs and the information about the attribute weights are partly known and completely unknown. Firstly, some basic concepts are introduced. Then, a new definition of the cross entropy which consider three aspects of fuzziness, hesitancy and interval information is given. Interval type-2 fuzzy entropy is proposed on the basis of the cross entropy. Furthermore, two ranking-entropy optimal models of each alternative are built. A new approach to multiple attribute group decision making with IT2FSs based on interval type-2 fuzzy cross-entropy and ranking value is shown. Finally, we give a practical example to verify the feasibility of our method and make some comparisons with other previous methods. The results verify the validity and effectiveness of our proposed method.