On a new class of implications: image-implications and the distributive equations Original Research Article

In this paper, Yager’s image-implications are generalized, and a new class of implications, called image-implications, is introduced. It is shown that image-implications are not only the generalization of Yager’s image-implications, but also the generalization of image-, image-, image-implications. Basic properties and characterization of these implications are discussed. Furthermore, the distributive equations of these implications are investigated.