覆盖变精度粗糙区间直觉模糊集模型探究

Research on Covering-based Variable Precision Rough Interval-valued Intuitionistic Fuzzy Set Models

概述区间直觉模糊集的基本理论,利用所定义的平均隶属度、平均非隶属度,建立基于覆盖的变精度粗糙区间直觉模糊集的4种模型,并讨论这4种模型的一些相关性质、与现有模型的关系以及4种模型之间的关系;最后,对4种模型进行实例分析。

The basic theory of interval-valued intuitionistic fuzzy sets is summarized.Four models of variable precision rough interval-valued intuitionistic fuzzy sets based on covering are established by using the defined average membership degree and average non-membership degree.Some related properties of these four models,the relationship with the existing models and the relationship between the four models are discussed.Finally,the four models are analyzed by examples.