upper closure
1.The last part of this paper gives some characterization of congruence R on the generalized continuous upper semilattice L and show that L/R is a generalized continuous upper semilattice iff R is a subalgebra iff there is a closure operator c on L such that the inverse image of the diagnal of L x L is R under the mapping cx c.
3.Two sufficient conditions are given,one is about thatgeneralized inverse matrix of a regular L-fuzzy upper(lower)triangular matrix isupper(lower)triangular matrix and another is about that transitive closure for anL-fuzzy matrix is realizable. At the end of this paper,the realizability of L-fuzzymatrixes for intersection and product is discussed.
