求解一类直觉模糊联盟合作博弈Shapley值的新方法

A New Method for Shapley Values of Intuitionistic Fuzzy Coalition Cooperation Games

文章对带有Choquet积分的直觉模糊联盟合作博弈Shapley值进行了研究.通过证明一类直觉模糊联盟合作博弈Shapley值满足单调性条件,给出该类直觉模糊联盟合作博弈Shapley值的简单计算方法.该方法是由区间特征函数的上下界直接计算得出直觉模糊联盟合作博弈Shapley值的上下界,避免了区间数减法.此外,文章又进一步对该类直觉模糊联盟合作博弈Shapley值的性质进行了证明.最后通过数值实例说明该方法的适用性和有效性.

In this paper,the Shapley value of intuitionistic fuzzy coalition game with Choquet integrals is studied.By proving that the Shapley value of a class of intuitionistic fuzzy coalition cooperative games satisfies the monotonicity condition,a simple calculation method for the Shapley value of the intuitionistic fuzzy coalition cooperative game is given.In this method,the upper and lower bounds of the Shapley value of the intuitionistic fuzzy coalition cooperative game are directly calculated from the upper and lower bounds of the interval characteristic function,and the method avoids the subtraction of the interval numbers.Furthermore,properties of the Shapley value of the intuitionistic fuzzy coalition game are proved in this paper.Finally,a numerical example is presented to demonstrate the validity and applicability of the method proposed in the paper.