模糊完备格中的逼近元（英文）

Approximate elements in fuzzy complete lattices

由于逼近元在刻画分明完全分配格中所起的重要作用,基于完备剩余格,在模糊完备格中引入了逼近元概念,它是分明情形之推广;为研究模糊完全分配格提供了另外一种方法.借助于逼近元,得到了模糊完全分配格和插入性质的一个等价刻画定理.

Since the approximate elements play an important role in characterizing crisp completely distributive lattices,we propose the notion of an approximate element in a fuzzy complete lattice based on completed residuated lattices,which generalize the relative concept in crisp complete lattices. It provides a new approach to explore fuzzy completely distributive lattices. With the help of approximate elements,we obatin an equivalent characterization between fuzzy completely distributive lattices and the interpolation property.