shape memory effect in alloys activated by heat is also called Thermoelasticity. Usually, thermoelastic alloy has also concomitant effects which belongs to cathegory called Pseudoelasticity. The pseudoelastic effects are these in which shape memory effect is caused by unloading of applied stress at constant temperature. Known pseudoelastic effects are Superelasticity, Rubber Effect, and Inverse Shape Memory. The term pseudoelasticity probably originate from behaviour of alloy after unloading. It really looks like elastic relaxation by naked eye. But the difference is inside the structure. Every pseudoelestic effect is caused by structure change unlike the elastic exhibition which remain the structure.
So, if you are talking about Superelasticity, yes, you are talking about Pseudoelasticity. However, if you mention Pseudoelasticity no one can know if you mean Superelasticity, Rubber Effect or Inverse Shape Memory.