Is two point tensor a REAL tensor?

Two-point tensor appears in some of continnuum mechanics reference books.

1. In wikipedia, two-point tensor is interperated as:" Two-point tensors, or double vectors, are tensor-like quantities which ... " 

2.Physically speaking, a tensor is a quantity that should not be changed by coordinate transformation while two-point tensor seems to have essential relationship with coordinates.

 So, my confusion is whether a two-point tensor is a REAL tensor or just a misnomer. If two-point tensor is a real tensor, is there three-point tensor, four-point tensor associated with multiple coordinate systems?