经济数学
經濟數學
경제수학
Journal of Quantitative Economics
2015年
3期
36-40
,共5页
安京京%南江霞%卜红
安京京%南江霞%蔔紅
안경경%남강하%복홍
二人零和对策%三角形模糊数%区间数%多目标线性规划
二人零和對策%三角形模糊數%區間數%多目標線性規劃
이인령화대책%삼각형모호수%구간수%다목표선성규화
two-person zero-sum game%Triangular fuzzy number%Interval%Multiobjective linear programming
用三角模糊数刻画二人零和对策支付值的不确定性,提出了计算模糊二人零和对策纳什均衡解的多目标规划方法。给出了一种基于区间数比较的三角形模糊数排序方法,根据该方法将模糊二人零和对策转化为多目标线性规划。通过一个数值实例说明了该方法的有效性和实用性。
用三角模糊數刻畫二人零和對策支付值的不確定性,提齣瞭計算模糊二人零和對策納什均衡解的多目標規劃方法。給齣瞭一種基于區間數比較的三角形模糊數排序方法,根據該方法將模糊二人零和對策轉化為多目標線性規劃。通過一箇數值實例說明瞭該方法的有效性和實用性。
용삼각모호수각화이인령화대책지부치적불학정성,제출료계산모호이인령화대책납십균형해적다목표규화방법。급출료일충기우구간수비교적삼각형모호수배서방법,근거해방법장모호이인령화대책전화위다목표선성규화。통과일개수치실례설명료해방법적유효성화실용성。
The payoffs of two-person zero-sum game were presented as triangular fuzzy numbers.We presented a new methodology for solving two-person zero-sum games with payoffs of triangular fuzzy numbers.Based on the ranking of inter-val,we provided a new ranking method of triangular fuzzy number.Then the solution of the fuzzy two-person zero-sum games can be obtained through solving a pair of multiobjective linear programming models.The validity and applicability of the pro-posed methodology were illustrated with a numerical example.