Fuzzy幂群

Fuzzy Power Group

文［１］讨论了代数结构的提升问题，提出了幂群的概念。模糊数学的发展要求各种数学结构不但要由论域向其幂集上提升，而且还要求向模糊幂集上提升，在更广泛的意义下讨论其结构问题，本文首先提出Ｆｕｚｚｙ幂群的概念，讨论了Ｆｕｚｚｙ幂群的结构及其同态问题。

In the paper[1]the upgrade of algebraic structure has been considered,in whichthe concept of power group has been raised.with the development of fuzzy set theory,all kinds of the structure are upgraded not only from their universes to their power setsbut also from their universes to their fuzzy power sets。In this paper,the concept offuzzy power group will be raised firstly and the structure and homomorphisms of fuzzypower group will be considered。