The complemented elements in fuzzy lattices

摘要

The complemented elements are the special elements in fuzzy lattices, they play an important role in the research of fuzzy lattices. In this paper, we present three important properties of complemented elements about the fuzzy lattice congruence relation and homomorphism, then we show the relation theorem of complemented elements and unambiguous elements of fuzzy lattices. Finally, we obtain two characteristic theorems of “the components” of fuzzy lattices by means of complemented elements.