基于完备剩余格,本文在模糊完备格中,引入模糊Prime元概念。给出了模糊Prime元的等价刻画,证明了所有的模糊Prime元构成的模糊集是模糊完全分配格。
Based on complete residuated lattices, the concept of fuzzy Prime elements in fuzzy complete lattices is given, then the equivalent characterization of fuzzy Prime elements is obtained. We also prove that the fuzzy subsets of fuzzy Prime elements is a fuzzy completely distributice lattice.