Piecewise linear programming approach to solve multi-objective matrix games with I-fuzzy goals  

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作  者:Sandeep Kumar 

机构地区:[1]Department of Mathematics,Ch.Charan Singh University,Meerut 250004,Uttar Pradesh,India

出  处:《Journal of Control and Decision》2021年第1期1-13,共13页控制与决策学报(英文)

摘  要:The intuitionistic fuzzy set(I-fuzzy set)plays an effective role in game theory when players face‘neither this nor that’situation to set their goals.This study presents a maxmin–minmax solution to multi-objective two person zero-sum matrix games with I-fuzzy goals.In this article,a class of piecewise linear membership and non-membership functions for I-fuzzy goals is constructed.These functions are more effective in real games because marginal rate of increase(decrease)of such membership functions(non-membership functions)is different in different intervals of tolerance errors.Finally,one numerical example is given to examine the effectiveness and advantages of the proposed results.

关 键 词:Intuitionistic fuzzy set multi-objective matrix game I-fuzzy goals maxmin-minmax solution piecewise linear function 

分 类 号:O17[理学—数学]

 

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