θ-粗模糊集

θ-粗模糊集

李健，徐晓静

山东大学数学与系统科学学院，山东济南250100

收稿日期:2005-06-23 修回日期:2005-08-26 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 李健

The θ-rough fuzzy sets

LI Jian and XU Xiao-jing

School of Math. and System Sci., Shandong Univ., Jinan 250100, Shandong, China

Received:2005-06-23 Revised:2005-08-26 Online:2006-10-24 Published:2006-10-24
Contact: LI Jian

摘要/Abstract

摘要： 摘要：提出粗模糊集的θ-包含等价类的概念，给出变精度粗模糊集的一种新定义形式θ-粗模糊集，讨论了θ-粗模糊集的结构及其性质，证明了θ-粗模糊集的截集和模糊集截集的θ-粗集是等价的.

关键词: 变精度粗模糊集, θ-包含等价类, 近似精度 , θ-粗模糊集

Abstract: The conception of θ-inclusion equivalence class of rough fuzzy sets is proposed, a new definition form of variable precision rough fuzzy sets θ-rough fuzzy sets is given, and the structure and property of θ- rough fuzzy sets are discussed. Lastly, the equivalence relation between the cut of θ-rough fuzzy sets and the θ-rough sets of the cut of fuzzy sets is proved.

Key words: approximation precision , θ-rough fuzzy sets, θ-inclusion equivalence class, variable precision rough fuzzy sets

中图分类号:

O159

李健,徐晓静 . θ-粗模糊集[J]. J4, 2006, 41(2): 24-27 .

LI Jian and XU Xiao-jing . The θ-rough fuzzy sets[J]. J4, 2006, 41(2): 24-27 .

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θ-粗模糊集

The θ-rough fuzzy sets

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