Inner
Inner[f, list1, list2, g] is a generalization of Dot where f replaces multiplication and g replaces addition.
Examples
Generalized inner products:
(* Standard dot product: Inner[Times, ..., Plus] *)
Inner[Times, {a, b, c}, {x, y, z}, Plus]
(* a x + b y + c z *)
(* Custom operations *)
Inner[f, {a, b}, {x, y}, g]
(* g[f[a, x], f[b, y]] *)
(* Boolean inner product *)
Inner[And, {True, False, True}, {True, True, False}, Or]
(* True *)Please visit the official Wolfram Language Reference for more details.