L－fuzzy拓扑群之间的L－fuzzy同态

On L fuzzy Homomorphisms for L fuzzy Topological Groups

在Ｌ－ｆｕｚｚｙ拓扑群之间引入了Ｌ－ｆｕｚｚｙ同态及Ｌ－ｆｕｚｚｙ开同态等概念，刻画了它们的基本特征．证明了Ｌ－ｆｕｚｚｙ同态是“Ｌ－ｇｏｏｄｅｘｔｅｎｓｉｏｎ”。

In this paper,the concepts of L fuzzy homomorphisms and open homomorphisms for L fuzzy topological groups are introduced,and their basic characterizations are given.It is proved that L fuzzy homomorphism is an ' L good extension',and the relation between it and the homomorphism for crisp topological groups is exposed,and their basic properties are discussed.