【摘要】 将经典代数中群论的研究方法应用于一种新的模糊群,利用该模糊群的同态基本定理,讨论了它的同构问题并提出了3个同构定理,给出了定理的证明,同时得到了若干重要的命题,刻化了带有这种新的模糊映射的模糊群的结构,使这种新的模糊群的理论得到了进一步完善.更多还原

【Abstract】 Classical algebraic method is applied to a new kind of fuzzy group in this paper.And using its fundamental homomorphism theorem,we discuss the isomorphism problem and put forward three theorems of fuzzy group and provements.Simultaneously,we obtain several important propositions and give a deep description of this new kind of fuzzy group;thereby,its theories are greatly improved.更多还原