结合模糊集理论知识,将经典的ELECTRE方法拓展到模糊环境下,用来解决模糊多属性群决策问题.决策问题中涉及到的属性评价值与属性权值是以三角模糊数的形式给出.首先集结各决策者的评价矩阵,构造模糊群决策矩阵,在规范化的基础上,分别对其进行模糊和谐性检验与模糊非和谐性检验,最后通过设定否决门槛值得到一致性比较矩阵,最终评价结果也是以三角模糊数的形式给出.该方法操作方便,计算简单.给出的实例验证了此方法的可行性和有效性.
Combining the concepts of fuzzy theory, this paper extends the ELECTRE method for fuzzy multiattribute group decision making (FMAGDM), which is an important part of decision support system. In this paper, the weights of all attributes described by linguistic terms are expressed in triangular fuzzy numbers, and the attribute values are triangular fuzzy numbers. By using the method, the most preferable alternative can be determined among all possible alternatives. Furthermore, this paper uses a numerical example to demonstrate the feasibility of the proposed method. The results show that this method is an effective means for tackling FMAGDM problems.