Extension of Lattice-valued QL-implications

The problem of extending function from a subset to the entire set can be considered for several operators in different branches of knowledge. We have provided a method to extend lattice-valued t-norms, t-conorms end fuzzy negations, in our previous investigations. In this paper, we apply this extension method for lattice-valued QL-implications and analyze its behavior. We also discuss about the relation between extension and conjugate of a given implication.