粗模糊集的链式分解

粗模糊集的链式分解

裴海峰，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:2005-09-21 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 裴海峰

The chain type decomposition of rough fuzzy sets

PEI Hai-feng,XU Xiao-jing

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

Received:2005-09-21 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24

摘要/Abstract

摘要： 利用f分解类，给出了等价类的F分解的另一种形式，并由此提出了粗模糊上、下近似集合的F分解定理．利用等价类的F分解形式，讨论了粗模糊上、下近似集合的λ截集的性质，并给出了粗模糊上、下近似集合的F并分解定理．

关键词: 粗模糊集, F分解, 分解链 , F并分解

Abstract: By using fDecomposition classes, another form of FDecomposition of equivalence classes is defined, and the F Decomposition theorem of the lower and upper approximation of rough fuzzy sets is presented. The properties of the λcut sets of the lower and upper approximation are discussed, and then the FUnion Decomposition theorem of the lower and upper approximation of rough fuzzy sets is given.

Key words:

裴海峰,徐晓静 . 粗模糊集的链式分解[J]. J4, 2006, 41(4): 8-11 .

PEI Hai-feng,XU Xiao-jing . The chain type decomposition of rough fuzzy sets[J]. J4, 2006, 41(4): 8-11 .

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed