The symmetric analysis on the fuzzy lattice
Jia Wu · 2012
In this paper, we make researches on the fuzzy lattice by means of its symmetric characteristics. We show that the necessary condition for a complete distributive lattice to become a fuzzy lattice is that the complement operation is self-dual; We also present some properties of the homomorphism of the fuzzy lattice. Moreover, we construct a class of fuzzy lattice with two complete distributive lattices by the minimal family theorem.