基于一致性指标的两类不确定偏好信息集结

• 作 者: 钱钢 冯向前 魏翠萍
• 机 构: 南京师范大学管理科学与工程研究所,曲阜师范大学运筹与管理学院,
• 出 处: 控制与决策
• 发表日期: 2009年01期
• 关键词: 偏好信息 群决策 区间数 区间数判断矩阵 互补判断矩阵 一致性 互反判断矩阵 集结 选择问题 一致性检验

研究了两类区间数判断矩阵偏好信息的集结问题.首先,基于Saaty提出的数字互反判断矩阵一致性检验指标(CR),给出了区间数互反判断矩阵的满意一致性条件;然后利用互反与互补判断矩阵之间的关系求解出数字互补判断矩阵的一致性指标(CGCI),并在此基础上给出了区间数互补判断矩阵的满意一致性条件;最后建立了一致性指标最大的两类区间数判断矩阵偏好信息的集结模型,并用此模型解决了供应链中伙伴企业的选择问题.

This paper studies the problem of aggregation of preference information of two types of interval number judgment matrices.Firstly, based on the consistency check index (CR) proposed by Saaty, the satisfaction consistency criterion of reciprocal judgment matrix of interval numbers is given. Then, And the relationship between reciprocal and complementary judgment matrix to solve the consistency index (CGCI) of the digital complementary judgment matrix, and on this basis, the conditions of satisfactory consistency of the interval number complementary judgment matrix are given. Finally, Two kinds of interval number judgment matrices, and use this model to solve the problem of the choice of partners in the supply chain.