支付值为梯形直觉模糊数的改进矩阵博弈求解方法  

Solving Method for Modified Matrix Games with Payoffs of Trapezoidal Intuitionistic Fuzzy Numbers

作　　者：贾磊[1] 谭睿璞[2] JIA Lei;TAN Ruipu(Engineering College;College of Electronics and Information Science,Fujian Jiangxia University,Fuzhou 350108,China)

机构地区：[1]福建江夏学院工程学院,福州350108 [2]福建江夏学院电子信息科学学院,福州350108

出　　处：《四川理工学院学报（自然科学版）》2018年第3期86-95,共10页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

基　　金：国家社会科学基金青年项目(17CGL058);福建省自然科学基金项目(2015J01635)

摘　　要：针对支付值为梯形直觉模糊数的矩阵博弈求解问题,提出了一种改进的基于加权均值及模糊度排序的线性规划求解方法。引入梯形直觉模糊数均值和模糊度的概念及基于加权均值模糊度的排序方法,从而构建改进的线性规划模型,计算得到局中人的最优策略。结合市场销售博弈问题,数值实例表明了所提方法的合理性和有效性。For the problem of matrix games with payoffs of intuitionistic trapezoidal fuzzy numbers,a modified linear programming solving method is proposed based on weighted value index and ambiguity index. Firstly,the concepts of value index and ambiguity index of trapezoidal intuitionistic fuzzy numbers are introduced,and the ranking method based on them is given. Then,a modified linear programming based on the ranking method is proposed to compute the optimal strategies.Finally,an illustrative example of market games is given to demonstrate the feasibility and validity of the developed method.

关 键 词：梯形直觉模糊数 矩阵博弈 线性规划 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]