粗模糊集的嵌入集的性质  

Characteristics of embedded sets of rough fuzzy sets

作　　者：刘保仓[1] 刘若慧[2] 

机构地区：[1]黄淮学院数学科学系,河南驻马店463000 [2]黄淮学院计算机科学系,河南驻马店463000

出　　处：《辽宁工程技术大学学报（自然科学版）》2010年第5期880-882,共3页Journal of Liaoning Technical University (Natural Science)

基　　金：河南省基础与前沿技术研究重点资助项目(092300410146);河南省教育厅自然科学研究基金资助项目(2008C120002);黄淮学院骨干教师基金资助项目

摘　　要：为了进一步揭示粗集和模糊集的内在联系,在粗集和模糊集的基础上,讨论了粗模糊集的嵌入集的性质;利用模糊集的截集,讨论了粗模糊集的嵌入集的截集性质;给出了粗模糊集的嵌入集的性质定理及其截集的性质定理。In order to further investigate the internal links between rough sets and fuzzy sets,this paper discusses the characteristics of embedded sets of rough fuzzy sets based on rough sets and fuzzy sets. Using cut-sets of fuzzy sets,the cut characteristics of embedded sets of rough fuzzy sets are also discussed. Furthermore,this paper provides the characteristic theorem of embedded sets of rough fuzzy sets and the cut characteristic theorem of embedded sets of rough fuzzy sets.

关 键 词：模糊集 粗集 粗模糊集 粗模糊集的嵌入集 

分 类 号：O159[理学—数学]