Research On Cooperative Game Solution With Intuitionistic Fuzzy Information

In this paper,we investigate the solution of intuitionistic fuzzy cooperative game:Shapley value of intuitionistic fuzzy coalition cooperative game based on interval Choquet integral and Shapley value of intuitionistic fuzzy coalition cooperative game satisfying monotone conditions,and the value of consensus value of combination solution of Shapley value and CIS value.The main achievements are as follows:First,based on the interval Choquet integral,the interval characteristic function of intuitionistic fuzzy cooperative game is obtained,and its properties are studied.The calculation method of Shapley value of fuzzy coalition cooperative game is extended,and the calculation formula of Shapley value of intuitionistic fuzzy coalition cooperative game is given,which avoids the subtraction of interval number.Second,by proving that the Shapley value of a class of intuitionistic fuzzy coalition cooperative game satisfies the monotonicity condition,a simple calculation method for Shapley value of this kind of intuitionistic fuzzy coalition cooperative game is given.This method calculates the upper and lower bounds of Shapley value of intuitionistic fuzzy coalition cooperative game directly from the upper and lower bounds of interval characteristic function,and avoids the interval number subtraction.Third,the solution of cooperative game is convex combined to get a new?-consensus value of the solution of Shapley value and CIS value.By determining the ??[0,1]range,it makes up for the disadvantage that Shapley value does not satisfy individual rationality.An integrated analysis of the formation mechanism of ?-consensus value is given to verify the effectiveness and rationality of ?-consensus value.Finally,relevant property and conclusion of ?-consensus value is studied.