基于优势关系的直觉模糊信息系统的属性约简

Attribute Reductions in Intuitionistic Fuzzy Information Systems Based on Dominance Relations

摘要: 近几年来出现了许多用粗糙集理论处理信息系统的方法，但是对直觉模糊信息系统还没有做出相关的讨论。本文首先在直觉模糊信息系统与决策信息表中定义了优势关系，然后引入了基于此优势关系的约简与相对约简的概念，并通过辨识矩阵及辨识函数得到求解约简与相对约简的具体方法。

Abstract: Many methods based on the rough set theory to deal with information systems have been proposed in recent years. However, intuitionistic fuzzy information systems have not been investigated yet. In this paper, dominance relations are firstly defined in intuitionistic fuzzy information systems and decision tables, and then the concepts of attribute reductions and relative reductions are proposed. Practical approaches to compute all reductions and relative reductions are presented by introducing of discernibility matrix and dis-cernibility function.