梯形直觉模糊双矩阵对策模型及求解方法的探讨  

Trapezoidal Intuitionistic Fuzzy Double Matrix Game Model and Its Solution

作　　者：王焕庭[1] WANG Huan-ting(Department of Commerce and Electronic Information,Tongcheng Teachers College,Tongcheng 231400,Anhui,China)

机构地区：[1]桐城师范高等专科学校商贸与电子信息系,安徽桐城231400

出　　处：《兰州文理学院学报（自然科学版）》2021年第2期15-19,共5页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：2019年校级科研自然科学重点项目“组织P系统在细胞分裂中的计算能力研究”(TCSZ2019KJzd01);2019年安徽省高等学校质量工程项目“会计学专业教学团队”(2019cxtd013)。

摘　　要：在矩阵对策理论中,确定解决问题的具体方式需要以对目标支付值的预估和排序结果为基础,而最终的解决方案通常取决于局中人的风险倾向.为此,对梯形直觉模糊双矩阵对策模型的求解方法进行研究.首先,针对梯形直觉模糊数制定了基于风险倾向的排序方案;接下来,通过双线性规划求解法求解梯形直觉模糊双矩阵对策;最后,在企业营销策略模型中对本文所提出的方法进行验证.结果表明,该方法切实有效,具有很强的实用性.In matrix game theory,the specific way to solve the problem needs to be based on the prediction and ranking results of the target payoff value,and the final solution usually depends on the players’risk tendency.Therefore,the solution method of trapezoidal intuitionistic fuzzy double matrix game model is studied in this paper.Firstly,a ranking scheme based on risk propensity is formulated for trapezoidal intuitionistic fuzzy number.Secondly,the trapezoidal intuitionistic fuzzy double matrix game is solved by bilinear programming.Finally,the method proposed in this paper is verified in the enterprise marketing strategy model.The results show that the method is effective and practical.

关 键 词：对策理论 收益模型 梯形直觉模糊双矩阵对策模型 求解方法 

分 类 号：O242.1[理学—计算数学]