计算机应用 ›› 2012, Vol. 32 ›› Issue (06): 1657-1661.DOI: 10.3724/SP.J.1087.2012.01657

• 人工智能 • 上一篇    下一篇

区间直觉模糊信息系统中的信息粒度

杨伟萍1,林梦雷2   

  1. 1. 漳州师范学院 数学与信息科学系, 福建 漳州 363000
    2. 漳州师范学院 计算机科学与工程系, 福建 漳州 363000
  • 收稿日期:2011-11-08 修回日期:2012-01-13 发布日期:2012-06-04 出版日期:2012-06-01
  • 通讯作者: 杨伟萍
  • 作者简介:杨伟萍(1986-),女,福建龙海人,硕士研究生,主要研究方向:不确定性理论与应用;〓林梦雷(1963-),男,福建漳州人,副教授,主要研究方向:模糊理论与应用、粗系统理论与应用。
  • 基金资助:
    国家自然科学基金资助项目;福建省资助省属高校科研专项

Information granularity in interval-valued intuitionistic fuzzy information systems

YANG Wei-ping1,LIN Meng-lei2   

  1. 1. Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou Fujian 363000,China
    2. Department of Computer Science and Engineering, Zhangzhou Normal University, Zhangzhou Fujian 363000, China
  • Received:2011-11-08 Revised:2012-01-13 Online:2012-06-04 Published:2012-06-01
  • Contact: YANG Wei-ping

摘要: 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。

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