基于直觉模糊集的多属性模糊决策方法

Multiple attribute decision making method based on intuitionistic fuzzy sets

针对模糊条件下的多属性决策问题,提出了一种新的基于直觉模糊集的多属性模糊决策方法。首先,给出了直觉模糊集的几何解释,定义了两个直觉模糊集之间的距离,确定了各候选方案指标值在直觉模糊集中的表示形式。其次,针对在信息不完全确定的模糊环境下,建立了基于直觉模糊集的多属性模糊决策模型,给出了适合这种模型的相应定义,提出了理想方案和负理想方案的概念,并结合信息不完全确定性处理来保证方案的唯一性。最后,通过比较各方案的直觉模糊集与理想和负理想方案的距离来确定方案集的排序。通过实例验证了方法的正确性和有效性。

For the multiple attribute decision making in fuzzy conditions, a new multiple attribute decision making method based on intuitionistic fuzzy sets is proposed. First, geometrical illustration of intuitionistic fuzzy sets is presented, the distance between two intuitionistic fuzzy sets is defined, and the form to express the rating of alternatives in intuitionistic fuzzy sets is determined. Second, for the fuzzy environment in which data can not be completely determined, a multiple attribute decision making model based on intuitionistic fuzzy sets is established, the related definitions that fit the model are given, the concept of positive-ideal and negative-ideal schemes are put forward, combining the uncertainty of data as a solution to guaranteeing the exclusiveness of the scheme. Finally, the ranking order of the schemes is determined by comparing the distance between intuitionistic fuzzy sets and positive-ideal and negative-ideal schemes, and an example shows that the method is valid and correct.