定义L-模糊偏序集上的L-核系统,给出了任一L-模糊偏序集上的L-核算子与L-核系统之间的一一对应关系,从而推广了有界完备L-模糊偏序集的情形,并使得模糊的情况与分明的情况更加协调。另外,也给出了L-闭包算子与L-闭包系统的相关结论。
The L-kernel operator on an L-fuzzy poset L is defined.It is proved that there is a one-to-one correspondence between L-kernel operators and L-kernel systems on each L-fuzzy poset.It is a generalization of that on bounded complete L-fuzzy posets,and it makes the case of L-fuzzy posets and crisp posets more harmonious.Also,the conclusions of L-closure operator and L-closure system are given.