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
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
CLC Number:
DU Guoning;ZHU Zhongying. Research on Definitions and Characteristics of Type-2 Fuzzy Set’s Level-sets[J]. Computer Engineering, 2006, 32(16): 6-8.
杜国宁;朱仲英. Ⅱ-型模糊集截集的定义及特征研究[J]. 计算机工程, 2006, 32(16): 6-8.