半群上的L-模糊同余

L-fuzzy Congruences on Semigroups

本文给出了一个Ｌ模糊关系生成Ｌ－模糊同余及包含在这Ｌ－模糊关系中最大的Ｌ－模糊同余的刻画。进一步证明了一个半群的Ｌ－模糊同余格是一个完备格且给出两个Ｌ－模糊同余并的刻画，特别地。

In this paper we characterize the L-fuzzy relation on a semigroup how to generate the L-fuzzy congruence and give out the maximum L-fuzzy congrunce contained in this L-fuzzy relation. Futhermore, We prove that the lattice of all L-fuzzy congruences on a semigroup is a complete lattice. In particular the lattice of all L-fuzzy congruences on a group is a modular lattice.