A Study of Generalized QL?-Implications

In this paper, we introduce and study the GQL?-operations. We prove that class is a hyper of known QL?-operations. Similar to QL?-operations, GQL?-operations are not always fuzzy implications. On other hand, present necessary but sufficient condition leads generation GQL?-implication. Our completed by studying satisfaction or violation some basic properties implications, such as left neutrality property, exchange principle, identity principle ordering property. also completes aforementioned for QL?-implications new connection between QL-operations D?-operations.