Technically, yes,  they're pincers, simply pincers.  If you're a carpenter, they're carpenter's pincers; if a saddler, they're saddler's pincers; if an upholsterer, they're upholsterer's pincers.
It's not particularly a multi-tool.  Mostly it does one thing -- pulling nails or tacks instead of using a claw hammer.  My largest pair is 12 inches and my smallest is about 4 inches.  The pair I use most often is 6 inches.