系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2010年
2期
272~276
,共null页
序 模糊博弈 结构元 收益矩阵
序 模糊博弈 結構元 收益矩陣
서 모호박혁 결구원 수익구진
order; fuzzy game; structured element; income matrix
在博弈论中，要求模糊数的序不仅要有好的分辨能力，还要满足经济人理性的假说．为此，提出了元序概念，并证明该序为全序．利用结构元相关定理，证明了m×n阶模糊矩阵必存在一m×n阶实数矩阵与其对应，且二者有相同的纳什均衡解．进而，利用结构元方法简化了模糊博弈矩阵的求解．最后，通过一个实际例子，表明了该方法的有效性．
在博弈論中，要求模糊數的序不僅要有好的分辨能力，還要滿足經濟人理性的假說．為此，提齣瞭元序概唸，併證明該序為全序．利用結構元相關定理，證明瞭m×n階模糊矩陣必存在一m×n階實數矩陣與其對應，且二者有相同的納什均衡解．進而，利用結構元方法簡化瞭模糊博弈矩陣的求解．最後，通過一箇實際例子，錶明瞭該方法的有效性．
재박혁론중，요구모호수적서불부요유호적분변능력，환요만족경제인이성적가설．위차，제출료원서개념，병증명해서위전서．이용결구원상관정리，증명료m×n계모호구진필존재일m×n계실수구진여기대응，차이자유상동적납십균형해．진이，이용결구원방법간화료모호박혁구진적구해．최후，통과일개실제례자，표명료해방법적유효성．
Not only is it necessary to have a good ability to distinguish something for compared order of fuzzy number in game theory, but also meet the rational hypothesis of economic man. Therefore, in this paper, the concept of element-order is advanced, and we prove that it is the whole order, by using the relevent structured element theorem, we proved that for arbitrary fuzzy dual matrix, there have to be a real dual-matrix corresponding to it and, both have the same Nash equilibrium solution, the solving of original problem is simplified by using method of structured element. Finally, take an example to illustrate effectivity.
