在现实博弈问题中,行动方案的选择不可避免的需要对预期支付值(收益值)进行估计和排序,且选择结果往往受到决策者风险态度有的影响。针对决策者具有不同风险态度的博弈环境,基于模糊值指标和模糊度指标确定的三角直觉模糊数排序关系,研究了具有风险态度的三角直觉模糊双矩阵博弈模型,并利用双线性规划方法,给出了该环境下的均衡策略确定方法,为现实博弈均衡的确定提供了有效的途径。最后通过企业营销策略选择的应用研究,对方法的现实有效性予以说明。
In the strategy choice problem, players need to estimate and rank the expected return (payoffs), and the selected results are often influenced by risk preferences in reality. So a method for triangular intuitionistic fuzzy bi-matrix game with risk preference is proposed in this paper.Taking full thought of players' risk attitudes, the fuzzy payoff bi-matrix games are constructed by using different ordering relations based on value-index and ambiguity-index, and then the equilibrium strategies are given. Finally, a real application of the marketing enterprises' strategy choice problem is raised to illustrate the proposed method's effectiveness and feasibility.