On a new class of implications: (g, u)-implications and the distributive equations
In this paper, Yager's g-implications are generalized, and a new class of implications, called (g, u)-implications, is introduced. It is shown that (g, u)-implications are not only the generalization of Yager'sg-implications, but also the generalization of (S, N)-, R-, QL-implications. Basic properties and characterization of these implications are discussed. Furthermore, the distributive equations of these implications are investigated. (C) 2013 Elsevier Inc. All rights reserved.
distributive equations fuzzy implications additive generators g-generators u-operators