A NEW WAY TO EXTEND FUZZY IMPLICATIONS

The main purpose of this paper is to use a new way to extend fuzzy implications I from a generalized sublattice M to a bounded lattice L, such that the extended implications preserve many of the considered proper- ties of fuzzy implications on M. Furthermore, as a special case, we investigate the extension of (S;N)􀀀implications. Results indicate that the extended im- plications preserve many of the considered properties of (S;N)-implications.