Multisets and 3VL

I've read Date, Darwen and Pascal's ideas on how their relational model is based on set theory (I assume they mean ZFC, but it's probably not important) and two-valued logic, and they've done a thorough job of writing this down.

Has anybody done similar work starting from multiset theory and three-valued logic? I'd imagine that since those theories are more general, they limit the things you can say definitively just as neutral geometry has sharper limits on what it can prove than Euclidean geometry does.

If such work has been done, can I get a reference to it?

Thanks in advance for your help :)

Cheers,
David.

-- 
David Fetter david_at_fetter.org http://fetter.org/
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