考虑决策者风险态度的三角直觉模糊双矩阵博弈均衡及应用  

Equilibrium Strategies of Triangular Intuitionistic Fuzzy Numbers Bi-matrix Game Model and Its Application at Considering the Players' Attitude

作　　者：杨洁[1] 李登峰[2] 赖礼邦 

机构地区：[1]福建农林大学管理学院,福建福州350002 [2]福州大学经济与管理学院,福建福州350116 [3]福建船政交通职业学院,福建福州350007

出　　处：《模糊系统与数学》2017年第3期79-87,共9页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金重点资助项目(712310003);国家自然科学基金资助项目(71171055);福建省自然科学基金资助项目(2016J05169);福建省社会科学规划项目(FJ2016C021);福建省教育厅中青年科研项目(JAS160153);福建农林大学"杰出青年科研人才"计划项目(xjq201635)

摘　　要：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.

关 键 词：双矩阵博弈 三角直觉模糊数 风险态度 排序方法 

分 类 号：O225[理学—运筹学与控制论]