格群上的Fuzzy同余关系与正规不变Fuzzy子格群

Fuzzy Congruences and Normal Unchangeable Fuzzy Sublattice Group on a Lattice-Ordered Group

探讨了格群上Ｆｕｚｚｙ同余关系与正规不变Ｆｕｚｚｙ子格群的联系，证明了格群上的全体Ｆｕｚｚｙ同余关系关于Ｆｕｚｚｙ集合的包含关系构成一个模格，并证明格群上的Ｆｕｚｚｙ同余关系格同构于格群上全体正规不变Ｆｕｚｚ子格群组成的格。

In this paper,we further investigate the relationship between fuzzy congruences and normal unchangeable fuzzy sublattice groups on a lattice-ordered group,and prove that the set of all fuzzy congruences on a lattice-ordered group forms a modular lattice. We also prove that the lattice of all fuzzy congruences is isomorphism to the lattice of all normal unchangeable fuzzy sublattice groups on a lat-tice-ordered group.