区间值最小二乘核仁解及在供应链合作利益分配中的应用

发布时间：2018-06-04 21:33

  本文选题：模糊对策 + 合作对策　； 参考：《中国管理科学》2017年12期

【摘要】：针对合作对策中联盟值(或特征函数)常表示为区间值而非实数的现象,提出两种新的二次规划求解方法,该方法能快速、有效的获得n人区间值合作对策的区间值最小二乘预核仁解和核仁解。首先,利用反映联盟不满意度的平方超量e(S,喁)=(υL(S)-xL(S))2+(υR(S)-xR(S))2,构建求解区间值最小二乘预核仁解的二次规划模型,据此确定每个局中人的区间值分配喁_i~(E~*)=[x_(Li)~(E~*),x_(Ri)~(E~*)](i∈N)。其中,x_(Li)~(E~*)=υL(N)/n+1/(n2~(n-2))(naLi(υ)-∑j∈NaLj(υ)),x_(Ri)~(E~*)=υR(N)/n+1/(n2~(n-2))(naRi(υ)-∑j∈NaRj(υ))(i∈N)。接着,考虑个体合理性,拓展所导出的数学优化模型,获得区间值最小二乘核仁解。然后,讨论最小二乘预核仁解和核仁解的一些重要性质,如,存在性和唯一性、有效性、可加性、对称性、匿名性,等。最后,利用供应链合作利益分配的数学算例验证所提出的二次规划模型和方法的合理性、有效性和优越性。
[Abstract]:In view of the phenomenon that alliance value (or characteristic function) is often expressed as interval value rather than real number in cooperative game, two new quadratic programming methods are proposed. The interval valued least square pre-nucleolus solution and nucleolus solution of interval valued cooperative game for n-person are obtained effectively. First of all, by using the squared excess L(S)-xL(S))2 (v L(S)-xL(S))2), a quadratic programming model for solving the interval-valued least-squares prenucleolar solution is constructed, and based on this, the interval value allocation of the persons in each bureau is determined. Among them, L(N)/n = L(N)/n 1 / 1 / n ~ 2 / n ~ (2) Li (v ~-鈭，

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