一类不确定性决策问题的变权分析方法

以灰色系统理论和模糊数学为基础,探讨了多属性决策问题中所包含的不确定性可以用灰色模糊数表示的情况,提出了基于灰色模糊信息的多属性决策的概念.利用分析方法和技巧,融合变权和熵权误差分析法,构建了灰色模糊多属性决策问题的算法,直接由灰色模糊决策矩阵确定变权的基础权重和上确界,使算法在理论上更加严谨可靠,为不确定型多属性决策方法研究提供了一条新思路.给出的算例说明了算法的可行性.

An Analysis Method of Variable Weights for Uncertain Decision-making Problem

Based on grey system theory and fuzzy mathematics, and in terms of gray fuzzy numbers, the expression of the uncertainty that is included in multiple attributes decision-making is discussed and the definition of multiple attributes decision-making is given. Using analysis methods and techniques, and combining the variable weights methods with the error analytical methods of entropy weights, an algorithm for grey fuzzy multiple attributes decision-making is developed. It is more precise and reliable than those methods used before since its basic weight and upper bound are directly determined by grey fuzzy decision-making matrix. This approach provides a new way for the research in uncertain multiple attribute decision-making. The given example proves the algorithm's feasibility.