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计算机工程 ›› 2006, Vol. 32 ›› Issue (16): 6-8. doi: 10.3969/j.issn.1000-3428.2006.16.003

• 博士论文 • 上一篇    下一篇

Ⅱ-型模糊集截集的定义及特征研究

杜国宁;朱仲英   

  1. 上海交通大学自动化系,上海 200030
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-08-20 发布日期:2006-08-20

Research on Definitions and Characteristics of Type-2 Fuzzy Set’s Level-sets

DU Guoning;ZHU Zhongying   

  1. Institute of Automation, Shanghai Jiaotong University, Shanghai 200030
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-08-20 Published:2006-08-20

摘要: 经典模糊集的截集概念是经典模糊集合与经典集合联系的桥梁,对于II-型模糊集,该文在分析II-型模糊集、区间值II-型模糊集、I-型模糊集以及经典集合之间关系的基础上,定义了II-型模糊集的截集概念,分析了II-型模糊集截集的特征,仿真证明了II-型模糊集截集的有效性,为基于II-型模糊集的决策、聚类等实际应用提供了新的方法。

关键词: II-型模糊集, 区间值II-型模糊集, 截集

Abstract: The concept of classical fuzzy set’s level sets is the bridge between the classical fuzzy set and the classic crisp set. On the basis of analysing relations among type-2 fuzzy set, interval type-2 fuzzy set, type-1 fuzzy set and classical crisp set, a new concept of level sets has been extended to type-2 fuzzy set, and its main characteristics have been analysed. The results of the simulation prove the validity of level sets of type-2 fuzzy set, which can be new method to solve the problems of fuzzy decision making and fuzzy clustering, etc.

Key words: Type-2 fuzzy set, Interval type-2 fuzzy set, Level-sets

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