  We generalize the notions of $d$-cluster tilting pair and $d$-Auslander exact
dg category to $d$-precluster tilting triple and $d$-minimal
Auslander--Gorenstein exact dg category. We give a bijection between
equivalence classes of $d$-precluster tilting triples and equivalence classes
of $d$-minimal Auslander--Gorenstein exact dg categories. Our bijection
generalizes Iyama--Solberg correspondence for module categories.
