How to modify a fuzzy implication function to satisfy a desired property

One of the most important theoretical topics in the field of fuzzy implication functions is the study of how to construct new implication functions from given ones. In this line, the interest of a construction method mainly lies in the fact that the new obtained implication satisfies some desired property, specially in the case when the initial one does not satisfy it. This paper gives a new construction method of implication functions from an aggregation function F with F(0,1)=1, a fuzzy negation N, and an implication function I. After analysing some general properties preserved by this method, it is investigated how this method can be applied in such a way that the resulting implication satisfies some additional desired properties not satisfied by the initial implication function. Particular cases when the aggregation function F is a uninorm or a nullnorm are shown to be specially adequate for this purpose.