In the previous chapters, Chaps. 2 and 3, we have dealt with five main families of fuzzy implication operations, viz., (S,N)-, R-, QL-, f - and g -implications. This chapter presents results regarding the intersections that exist among the above families of fuzzy implications. Firstly, we discuss the pair-wise intersections of the families from Chap. 2 and the intersections that exist among the Yager's family of fuzzy implications in Chap. 3. Following this, we discuss the intersections that exist among the families of fuzzy implications across these two chapters, i.e., the intersections that exist among the Yager's family of fuzzy implications, viz., f - and g -implications, with (S,N)-, R- and QL-implications. © 2008 Springer-Verlag Berlin Heidelberg.