摘要
由于人的认知水平的限制、信息的不完全性等诸多不确定性因素的影响,可能遇到以三角模糊数形式给出损益值的博弈问题。针对此问题,对三角模糊矩阵博弈问题进行了研究。依据三角模糊数的运算规则和比较规则,提出了三角模糊矩阵博弈问题的基于可能度的纯策略解的判定规则,以及2×2三角模糊矩阵博弈问题混合最优策略解的求解方法。最后通过两个算例进行了说明。
Because of the limitation of human cognition and uncertain factors such as incomplete information, there exists the game with payoffs given by triangular fuzzy numbers （TFN）. The optimal solution to the game problem is studied. Based on the operation laws and comparison laws for TFN, the judgment rule for pure strategy solution on the basis of possibility is presented, and the method to the solution of the game with 2×2 TFN matrix is also proposed. In the end, two numerical examples are given to illustrate the proposed judgment rule and method respectively.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2009年第5期1231-1234,共4页
Systems Engineering and Electronics
关键词
三角模糊数
模糊矩阵博弈
可能度
纯策略
混合策略
triangular fuzzy number
fuzzy matrix game
possibility
pure strategy
mixed strategy
