Dog breeds have been created by breeding combinations of different breeds for their individual genetic, physical, aesthetic, and physiological traits: Example: Labradoodle is a pup from a poodle and a Labrador retriever.
What new/nonexistent breed can you think of that would astound, cause spontaneous outbreaks of "awe that's too cute," and/or "dear lord have mercy that poor creature's soul? Of course a catchy new breed name is necessary to market your new monstrosity and/or cute-osity.
Let me start by giving a couple of examples:
A pup from Yorkie terrier and a bull mastiff just might make a Bull Yorkstiff?
Or a poodle and a Rottweiller just might make a Rottwoodle.
Happy Pairing Everyone!