摘要
根据模糊数学的理论,进一步探讨有关模糊环及其子环的问题;再由同态及同构定理研究关于模糊逆映射的问题,并讨论模糊逆映射的相应性质.首先给出反模糊子环和反模糊商环的定义,然后研究反模糊商群的同态基本定理,最后给出反模糊理想的概念并证明反模糊子环的同构定理.
The concept is based on the fuzzy theory, the main problem is anti-fuzzy factor group and anti-fuzzy factor rings.The article is devided into two parts. First, the anti-fuzzy factor group is given and its fundamental qualities is studied. Seconnd , the definitions of anti-fuzzy subrings and anti-fuzzy factor rings are given in this paper, and their fundamental qualities are studied. In the end, the theory of anti-fuzzy rings and the theory of anti-fuzzy subrings are proven.
出处
《沈阳化工学院学报》
2003年第4期313-316,共4页
Journal of Shenyang Institute of Chemical Technolgy