Mondu's Fight Palace, aka Tongue of the Fatman, aka Slaughter Sport was a game released by Activision and it started life as Tongue of the Fatman on DOS based PCs. For reasons unknown it was retitled Mondu's Fight Palace for the subsequent Commodore 64 release. In the preview for the Sega Genesis version in the November 1990 issue of Mega Play, they were also calling it Mondu's Fight Palace. However, by the time of its release, it was called Slaughter Sport.
The MS-DOS version was released in 1988 followed by the Commodore 64 version in 1989 and finally the Sega Genesis version in 1990. Regardless of the title or release, it is basically the same game which is a fighting game in the form of a sort of alien bloodsport. The game didn't get very good reviews.
The game is certainly strange and unique to say the least. There are a large variety of fighters compared to other fighting games of the time and the game is full of weird details and extra touches. It is also a very graphic game for the time. However, the gameplay just isn't that great. You would think by the time they ported this game to the Genesis that they would have improved upon the problems but that just doesn't seem to be the case. This is a game with a lot of promise and might be interesting as a remake but except for curiosity's sake, there's no reason to play this one.
If you do decide you want to give it a try, the Sega Genesis version is going to be the most accessible and probably the easiest to find. With the PC or Commodore 64 version you'll need an old computer or emulation. None of the versions are great but the Genesis version probably gives you the best combination of sound, graphics and control.