区间直觉梯形模糊数MADM问题的灰色关联分析方法

The Grey Relational Analysis of Interval-valued Intuitionistic Trapezoidal Fuzzy Number MADM Problem

摘要:

针对评价信息以区间直觉梯形模糊数形式给出的多属性决策问题,提出一种基于灰色关联分析的多属性决策方法。首先给出区间直觉梯形模糊数的定义、运算法则及距离公式,然后通过灰色关联分析得出关于区间直觉梯形模糊数的灰色关联系数；运用灰色关联系数确定各属性权重,并依据其计算得到各备选方案的关联度,最终根据该值的大小对所有方案排序以获得最优方案。论文还通过最佳信息系统决策的实例分析,验证了所提方法的可行性与有效性。

Abstract:

The article proposed a multiple attribute decision making method based on grey relational analysis, for the multiple attribute decision making problems with the evaluation information given in the form of interval-valued intuitionistic trapezoidal fuzzy numbers. First, give the definition of interval-valued intuitionistic fuzzy numbers, algorithms and distance formula, and then obtained the grey relational coefficient about interval-valued intuitionistic trapezoidal fuzzy numbers based on grey relational analysis, using gray correlation coefficient to determine the weight of each attribute and calculated the relational grade of each options, then sort all the options by the size of this value in order to get the best option. Finally, it verified the feasibility and effectiveness of the proposed method through a numerical example.