Weighted Attribute Grammars (WAG) are grammars which production rules can have weights or probabilities, while nonterminals can have inherited, synthesised or local attributes. In WAG, weights coexist with attributes, and either can refer to the other.
It is an extension of both weighted grammars as well as attribute grammars, in terms of both notation and expressiveness.
Research on WAG is ongoing and is mostly done in collaboration with Marcus Gerhold.
If you're interested in collaboration, get in touch!