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
Properties of the Complete Homomorphism of a Rough Fuzzy Group
摘要/Abstract
摘要：
粗糙集理论是由Plawlak于1982年提出的,模糊集理论是由Zadeh于1965年建立的,粗糙集与模糊集的结合越来越受到学术界的关注.研究了群中模糊集的上、下近似,给出了上、下近似算子的性质,讨论了粗糙模糊子群在满同态下的性质.
Abstract：
The theory of rough set initiated by Pawlak in 1982 and the theory of fuzzy set initiated by Zadeh in 1965 provide useful means of describing and modeling of vaguenessin illdefined environment . The relationship between these two notions is more and more studied by many authors. The properties of the complete homomorphism of a rough fuzzy group are studied . The properties of the lower and upper approximations in a fuzzy group are also studied
关键词
Key words：
: group
;
rough set
;
fuzzy set
;
congruence relation
;
rough fuzzy semigroup