A constructive method for the definition of interval-valued fuzzy implication operators

In this paper, a new characterization for the interval-valued fuzzy implication operators is presented, which provides a simple way to construct interval valued fuzzy implication operators from a given fuzzy implication operator using aggregation operators. This method will be used for defining the interval-valued fuzzy R- and S-implications. Finally, some examples of the interval-valued fuzzy implications built by this constructive method and a comparative study among them are shown.