It introduces the concept of power semigroup, studies the relations between homomorphism and congruence of power semigroup and obtains some perfect results. 摘要給出了冪半群的概念，研究了冪半群的同態與同餘關係，討論了它們之間的關係，並得到了一些理想的結果。
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餘關係，在逆半群上定義了模糊正規子半群和模糊商子半群，並研究了逆半群上由這幾類模糊關係所定義的模糊同餘關係的一些性質。
