一种部分权重信息的灰色多属性群决策方法

基于灰色系统理论的思想和方法,探讨了决策方案的属性值为区间灰数及权重信息部分已知的灰色多属性群决策问题。根据区间灰数的本质,定义了两区间灰数的相离度。引入了个体理想最优方案向量、群体综合关联度等概念及其计算公式。构建了基于区间灰数相离度的灰色区间关联系数公式及灰色区间关联度。对于各方案的区间型群体综合关联度的比较和排序,给出了基于最小最大化悔值方法。实例分析说明了所提出的灰色多属性群决策方法的合理性及其算法的有效性。

Grey multiple attribute group decision-making method with partial weight information

The grey attribute group decision-making procedures based on grey system theory,in which the attribute values are interval grey numbers with parially known weight information is explored.The definition of deviation degree between two interval grey numbers is given from the essence of interval grey numbers as well as the concepts and formulas for individual imagined optimum vector and degree of group integrated grey incidence.Therefore the incidece degree coefficient formula is constructed from an analytical technique based on deviation degree for interval grey numbers and a minimax regret-based approach is proposed to compare and rank this interval integrated grey incidence degree.Finally an example is used to illustrate the rationality of this grey attribute group decision-making method and the validity of the algorithms developed in this paper.