The matrix game and bi-matrix game are typical non-cooperative games. Nowadays, interactive game decisions on social management are mainly concerned, especially when players are faced with uncertain payoffs. The aim of this paper is to develop simple and effective parameterized linear programming methods for solving two types of matrix games with payoffs expressed by intuitionistic fuzzy (IF) information. In these methods, the expected values of players are regarded as monotonic functions with their risk preferences. Hereby we construct two models of auxiliary bilinear programming, and the corresponding optimal strategies can be easily obtained by explicit computation. The models and methods proposed in this paper are applied in two ecological management problems, and the validity and applicability are verified.

矩阵博弈和双矩阵博弈是典型的非合作博弈。如今，与社交管理有关的交互式游戏决策尤其受到关注，尤其是当玩家面临不确定的收益时。本文的目的是开发一种简单有效的参数化线性规划方法，以解决两种类型的矩阵游戏，其收益由直觉模糊（IF）信息表示。在这些方法中，参与者的期望值及其风险偏好被视为单调函数。因此，我们构造了两个辅助双线性规划模型，并且可以通过显式计算轻松地获得相应的最优策略。将本文提出的模型和方法应用于两个生态管理问题，验证了其有效性和适用性。