区间直觉模糊信息系统中的信息粒度

摘要

Interval-valued intuitionistic fuzzy information system is able to be more comprehensively, detailedly and visually depict and characterize the decision-making information than the general information system, so reaseaching its research uncertainty is of great importance. With the help of information granularity, this paper characterized the uncertainty of the interval-valued intuitionistic fuzzy information system. It constructed intersection, union, subtraction and complement four operators among granular structures, introduced three new partial order relations in interval-valued intuitionistic fuzzy information systems and established the relationships among them. It defined an interval-valued inluitionistic fuzzy information granularity and an axiomatic approach to interval-valued intuitionistic fuzzy information granularity in interval-valued intuitionistic fuzzy information systems. Finally, it investigated the properties of interval-valued intuitionistic fuzzy information granularity.%区间直觉模糊信息系统比一般信息系统更能全面、细致、直观地描述和刻画决策信息,对其进行不确定性研究具有重要的意义.利用信息粒度对区间直觉模糊信息系统的不确定性进行了刻画,给出了区间直觉模糊粒度结构的交、并、差、补等四种运算.提出了区间直觉模糊粒度结构上的三种偏序关系,并建立了它们之间的联系.定义了区间直觉模糊信息粒度和区间直觉模糊信息粒度的公理化,并研究它们的性质.