基于集对分析和直觉模糊集的语言型多属性群决策方法

针对语言型多属性群决策问题进行了研究,提出基于集对分析的直觉模糊群决策方法。首先给出语言信息与直觉模糊值的转换方法;分析集对分析的思想与直觉模糊集思想的兼容性,通过集对分析的方法求解出方案对于单个属性和所有属性的联系度表达式;最后通过一个排序公式对方案进行排序,并得出最优方案。算例证实了该方法的有效性。

Method for Multiple Attribute Decision Making with Linguistic Assessment Information Based on Set Pair Analysis and Intuitionistic Fuzzy Set

For multiple attribute group decision making with linguistic assessment information, a new method based on the set pair analysis and intuitionistic fuzzy set is proposed in this paper. Firstly the transformation between linguistic information and intuitionistic fuzzy value is determined. Then the compatibility between the set pair analysis theory and intuitionistic fuzzy set theory is analyzed. The single attribute and synthesis attributes relation degree formula of alternatives are calculated by the set pair analysis theory. The alternatives can be ranked by the ranking formula and the best alternative can be selected. The validity of this method is demonstrated in an example.