Abstract: A new grey relational analysis method for interval-valued intuitionistic fuzzy uncertain linguistic information has been proposed. First, the interval-valued intuitionistic fuzzy uncertain linguistic positive ideal solution and negative ideal solution have been defined; then the grey relation of each evaluation value to the positive and negative ideal solution have been calculated; by using the attribute weight vector, the relation of each alternative to the positive and negative ideal solution can be determined, the relative relational degree of each alternative can be got and the alternatives can rank accordingly. A mathematical programming model has been set up to determine the attribute weights based on the principle that the selected alternative should have the largest grey relational degree with the positive ideal solution and has the smallest grey relational degree with the negative ideal solution. The risk evaluation of the real estate investment project is used to illustrate the feasibility and effectiveness of the proposed method.

Key words: multiple attribute decision making, grey relational analysis, attribute weight, interval-valued intuitionistic fuzzy uncertain linguistic variable

摘要： 给出了区间值直觉模糊不确定语言环境下的灰色关联度分析方法。首先确定了区间值直觉模糊不确定语言正负理想解, 然后计算每个评价值与正负理想解的灰色关联度, 利用属性的权重向量, 计算方案与正负理想解的灰色关联度, 最后计算出方案的相对关联度, 并根据方案的相对关联度对方案进行排序。如果属性权重部分可知, 则需要根据与正理想解有最大的灰色关联度而与负理想解有最小的关联度的原则建立数学规划确定属性的权重。最后, 为了说明算法的可行性和有效性, 将其应用到房地产开发项目的风险评价上。 实例说明了算法的可行性和有效性。

关键词: 多属性决策, 灰色关联度分析, 属性权重, 区间值直觉模糊不确定语言变量