运筹与管理
運籌與管理
운주여관리
OPERATIONS RESEARCH AND MANAGEMENT SCIENCE
2014年
2期
139-144
,共6页
直觉模糊集%矩阵对策%多目标对策%线性规划
直覺模糊集%矩陣對策%多目標對策%線性規劃
직각모호집%구진대책%다목표대책%선성규화
intuitionistic set%multi-objective game%matrix game%linear programming
研究矩阵对策是深入研究对策理论的一个基本途径和重要手段。根据直觉模糊多目标决策和模糊对策理论,研究了支付值为直觉模糊值的多目标二人零和矩阵对策。首先介绍了基于直觉模糊集的多目标二人零和矩阵对策模型,接着提出了求解直觉模糊多目标二人零和矩阵对策的线性规划方法。最后以数例说明本文提出的方法。结果表明该方法能方便地得到对策的均衡策略和均衡解。
研究矩陣對策是深入研究對策理論的一箇基本途徑和重要手段。根據直覺模糊多目標決策和模糊對策理論,研究瞭支付值為直覺模糊值的多目標二人零和矩陣對策。首先介紹瞭基于直覺模糊集的多目標二人零和矩陣對策模型,接著提齣瞭求解直覺模糊多目標二人零和矩陣對策的線性規劃方法。最後以數例說明本文提齣的方法。結果錶明該方法能方便地得到對策的均衡策略和均衡解。
연구구진대책시심입연구대책이론적일개기본도경화중요수단。근거직각모호다목표결책화모호대책이론,연구료지부치위직각모호치적다목표이인령화구진대책。수선개소료기우직각모호집적다목표이인령화구진대책모형,접착제출료구해직각모호다목표이인령화구진대책적선성규화방법。최후이수례설명본문제출적방법。결과표명해방법능방편지득도대책적균형책략화균형해。
The research of matrix game is a basic approach and important means for the research of game theory . The multi-objective two-person zero-sum matrix game , whose payoff values are intuitionistic fuzzy numbers , is proposed based on the theories of intuitionistic fuzzy multi-objective decision making and fuzzy game .The model of multi-objective two-person zero-sum matrix game based on intuitionistic set is introduced at first .Then the linear program method of intuitionistic multi-objective two-person zero-sum matrix game is presented .Finally, an example is given to illustrate the proposed method .The results show that the equilibrium strategy and equilibrium solution of the game can be easily acquired by the proposed method .