期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Generalized Rough Fuzzy Subgroup
摘要/Abstract
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.
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.