权重信息不完全的混合型多属性决策方法研究

摘要

In allusion to the problems that attribute weight information is incomplete and the attribute values are precise numbers in the hybrid multiple attribute decision making with linguistic labels,interval numbers,intuitionistic fuzzy numbers and interval intuitionistic fuzzy numbers,correlation coefficient between attribute values of each form is built according to five different forms of normalized definitions for attribute values. A single target optimization model based on preference degree weighted averaging(PDWA)operator and TOPSIS method is established to solve the weight of each attribute. The ranking result is obtained by means of linear aggregation of attribute values and attribute weights. The feasibility and operability of the method are verified by means of numerical examples.%针对属性权重信息不完全且属性取值为精确数、语言标度、区间数、直觉模糊数、区间直觉模糊数的混合型多属性决策问题,根据五种不同形式的属性值规范化定义,建立每种形式下属性值之间的相关系数.基于偏爱程度的加权平均(PDWA)算子和逼近理想解(TOPSIS)法构建单目标最优化模型求出各属性的权重,通过对属性值和属性权重的线性集结,得到排序结果.最后通过数值算例,验证了该方法的可行性和操作性.