关键词: 直觉模糊集, 变精度粗糙集, 近似约简, 近似质量, 粗糙隶属函数

Abstract:

Taking the intuitionistic fuzzy goal information system as the research object, rough set and intuitionistic fuzzy sets as the research tools, knowledge discovery as the research purpose, an effective method is given to get decision rules from the intuitionistic fuzzy decision table. That is, through generalizing the definition of Pawlak rough membership functions, the rough intuitionistic fuzzy membership function is given, and using new rough membership function, a variable precision rough intuitionistic fuzzy set model is established. And based on this model, the approximation quality and approximate reduction of the variable precision rough intuitionistic fuzzy set are defined, the approximate reduction derives the probabilistic decision rules set, hence the probabilistic decision rules of the intuitionistic fuzzy decision table acquisition method is given. Finally, the practical example is given to illustrate the effectiveness of the method.

Key words: intuitionistic fuzzy sets；variable precision rough sets;approximation reduction；approximate quality;rough membership function