It introduces the concept of power semigroup, studies the relations between homomorphism and congruence of power semigroup and obtains some perfect results. 摘要给出了幂半群的概念，研究了幂半群的同态与同余关系，讨论了它们之间的关系，并得到了一些理想的结果。
On inverse semi-groups, the fuzzy normal sub-semigroup and fuzzy quotient sub-semigroup are defined via some special fuzzy relation by using fuzzy congruence relation on set. 摘要利用集合上模糊同余关系，在逆半群上定义了模糊正规子半群和模糊商子半群，并研究了逆半群上由这几类模糊关系所定义的模糊同余关系的一些性质。
