Generalized R′-Implications: A Hyper Class of R- and R′-Implications

In this paper, generalized R ′ -implications are introduced and studied. Although they not always fuzzy implications, the sufficient necessary condition such that a id="M2"> -operation is implication discovered proved. The satisfaction or violation of some basic properties as left neutrality property, identity principle, ordering also investigated presented. intersections among classes id="M3"> (respectively, operations), R-implications, id="M4"> operations) It demonstrated id="M5"> class hyper known R- id="M6"> classes. This research completes investigation into id="M7"> -operations improves outcomes intersection id="M8"> -implications.