一种概率分布的区间数多指标灰色关联模型

摘要

针对区间数多指标决策问题中评价值的取值概率问题,提出了基于概率分布的区间数多指标灰色关联模型.该模型将区间数距离映射到概率分布函数上,根据灰色关联分析方法的基本思想,计算决策方案与理想方案之间的关联度,通过关联度对决策方案进行排序.最后给出了两个实例分析,验证了该模型计算结果的正确性与有效性.%In order to solve the problem of the probability of evaluation value in interval multi-attribute decision making problem,an interval multi-attribute grey related model based on probability distribution was proposed.The interval distance was mapped to the probability distribution function in this model.According to the basic idea of the gray related analysis method,the correlation degree between the decision-making scheme and the ideal scheme was calculated,and the decision-making scheme was sorted by the correlation degree.Finally,two examples were given to verify the correctness and validity of the model.