在线阅读 --自然科学版 2009年1期《广义粗糙模糊子群》
广义粗糙模糊子群--[在线阅读]
郭增晓1, 赵会引2, 刘雅娜1
1. 石家庄学院数学系, 河北石家庄 050035;
2. 河北工业职业技术学院基础部, 河北石家庄 050091
起止页码: 10--13页
DOI:
摘要
定义了群中模糊集合基于模糊不变子群的整体近似,并研究了近似算子的性质,讨论了近似算子对于模糊子群的交、并运算的性质;提出了上(下)广义粗糙模糊子群的概念,分析并证明了模糊不变子群成为上(下)广义粗糙模糊子群的条件.

Generalized Rough Fuzzy Subgroup
GUO Zeng-xiao1, ZHAO Hui-yin2, LIU Ya-na1
1. Department of Mathematics, Shijiazhuang College, Hebei Shijiazhuang 050035, China;
2. Department of Basic Courses, Hebei College of Industry and Technology, Hebei Shijiazhaung 050091, China
Abstract:
The unified approximation of a fuzzy subset of a group is studied based on an invariant subg roup. Some operation properties fo rthe approximation operators about the intersection and union of two fuzzy subg roups are examined.Concepts of the upper and lower generalized rough fuzzy subgroups are proposed.T he condition for which a fuzzy invariant subgroup may be an upper or lower generalized rough fuzzy subgroups is analyzed and proved.

收稿日期: 2008-1-28
基金项目: 国家自然科学基金(60773174);河北省自然科学基金(A2006000129);河北省教育厅自然科学研究项目(Z2006115)

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