Abstract: To reflect the uncertainty and fuzziness during the process of supply chain information sharing synthetically more felicitously,a quadratic programming model based on the optimal integrative degree of enterprises' satisfaction in the supply chain with least square method was constructed for solving cooperative games with coalition values expressed by triangular intuitionistic fuzzy numbers.On this basis,the lower,mean and upper bounds of triangular intuitionistic fuzzy number payoff of each player were easily computed.Moreover,according to the improved algebraic operations,the membership degree and nonmembership degrees of triangular intuitionistic fuzzy number payoff of each player were obtained.A numerical example was given to illustrate the proposed models and method,and the result showed that the information distortion and the uncertainty amplification could be effectively avoided by considering the triangular intuitionistic fuzzy number optimal allocation and its membership degree and non-membership degree.

Key words: supply chains, profit allocation, information sharing, triangular intuitionistic fuzzy number, cooperative game

摘要： 为更好地反映供应链各节点企业开展合作、共享信息时经常出现的不确定性和模糊性,借鉴最小二乘法的基本思想,基于供应链上各节点企业的整体满意度最优,构建数学优化模型,并给出解析式,据此获得供应链各节点企业参与信息共享合作联盟后得到的三角形直觉模糊数类型的分配值。实际算例表明,综合考虑三角形直觉模糊数最优分配值及其隶属度和非隶属度的合作对策求解模型与方法,可以有效避免信息失真以及不确定性的放大等问题。

关键词: 供应链, 利益分配, 信息共享, 三角形直觉模糊数, 合作对策