关键词: 粒度计算, 区间直觉模糊信息粒度, 偏序关系, 公理化

Abstract: Granular Computing is an emerging conceptual in information processing. It plays an important role in information processing for fuzzy, uncertainty. Interval-valued intuitionistic fuzzy information granularity is an important tool, to measure the uncertainty of interval-valued intuitionistic fuzzy information systems. Based on interval-valued intuitionistic fuzzy information systems, this paper constructs intersection, union, subtraction and complement four operators among granular structures, introduces three new partial order relations in interval-valued intuitionistic fuzzy information systems and establishes the relationships among them. It defines an interval-valued intuitionistic fuzzy information granularity and an axiomatic approach to interval-valued intuitionistic fuzzy information granularity in interval-valued intuitionistic fuzzy information systems. Finally, it investigates the properties of interval-valued intuitionistic fuzzy information granularity.

Key words: Granular computing, Interval-valued intuitionistic fuzzy information granularity, Partial order relation, Axiomatic