CAJ | 학술논문

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.
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.