Fuzzy semi-orthogonality in fuzzy lattices

We consider the notion of fuzzy lattices introduced by Chon and define a fuzzy semi-ortholattice and a fuzzy semi-orthocomplemented lattice. We investigate some algebraic properties of these fuzzy lattices such as a sufficient condition of a fuzzy semi-lattice and the equivalent relationship between fuzzy covering property and fuzzy exchange property in fuzzy lattices.