基于模糊语言评估的多属性决策方法

Multi-attribute decision making based on fuzzy linguistic assessments

研究了属性权重确知、属性值以模糊语言形式给出的多属性决策问题 ,定义了一种模糊语言评估标度并给出其相应的区间数表达方式 .利用区间数运算法则对各方案的属性值进行集结 .基于区间数之间两两比较的可能度公式 ,构造可能度矩阵 ,并利用已有的排序公式求出其相应的排序向量 ,进而对决策方案进行排序和择优 .最后进行了实例分析 .数值结果表明

The multi attribute decision making problem, in which the attribute weights were precisely known and the attribute values were given in the forms of fuzzy linguistic assessments, was studied. A scale of the fuzzy linguistic assessments was defined and its corresponding representation of interval numbers was given. The fuzzy linguistic assessment information about each alternative was aggregated by utilizing the interval arithmetic. Based on the possibility degree formula for comparison between two interval numbers, the complementary judgement matrix is established and its priority vector is derived by using the given priority formula, and then the alternatives are ranked by using the vector. Finally, an illustrative example was given. Numerical results show that this approach is feasible and effective.