面向直觉模糊集排序能力提升的记分函数设计研究

直觉模糊集记分函数的排序能力是影响直觉模糊型多准则决策绩效的重要因素。本文以直觉模糊集记分函数的特性分析为切入点,较为系统地分析了现有各类记分函数的有界性、符合直觉性、排序能力、连续性等四类特征;其次,基于现有记分函数特征匹配状况,提出了新的直觉模糊集记分函数的分段函数并加以证明;最后,系统比较了现有记分函数与本文提出的记分函数在排序能力和区分度方面的差异,验证了本方法的优越性和合理性。

The Research on Design of Score Function for Improving Ability of Ranking Intuitionistic Fuzzy Set

For the problem of multi-criterion decision making, score function's ability of ranking intuitionistic fuzzy set is a significant factor, which influences the performance of decision making. Starting with the analysis of intuitionistic fuzzy set score functions' properties, we analyze the boundedness, consistent with intuition, ranking ability and continuity of existing score functions. Then, based on the situation of existing score functions' satisfying properties above, a new score function with piecewise form is proposed, which proves to satisfy all properties. Finally, the ranking ability and distinction degree of the new score function and the existing ones are compared in order to show the advantage and validity of the approach.