Multi-objective bimatrix game under intuitionistic fuzzy environment

摘要：

In this paper, we extend the multi-objective bimatrix game in the intuitionistic fuzzy environment. Since determining payoffs is frequently depended on the judgment and intuition of the players in the game, we describe the payoff of each strategy in intuitionistic fuzzy sets. Then, an IFWAA operator is used to obtain the integral payoff matrices. Based on the score functions of intuitionistic fuzzy sets, we propose a non-linear programming model to find the mixed Nash equilibrium solution. An example is also provided to illustrate the procedure of the proposed method.

关键词： Fuzzy game Bimatrix game Intuitionistic fuzzy set Multi-objective Nash equilibrium

作者: Wu-E Yang Jian-Qiang Wang

作者单位: School of Science, Central South University of Forestry and Technology, ChangSha 410004, China Schoo School of Business, Central South University, ChangSha 410083, China

会议类型: 国际会议

会议名称: The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)

会议地点: 太原

会议语种:英文

页码: 787-792

在线出版日期: 2012-05-23（万方平台首次上网日期，不代表论文的发表时间）