Jesse Prinz argues for a different kind of moral relativism in the magazine Philosophy Now:

Relativism has been widely criticized. It is attacked as being sophomoric, pernicious, and even incoherent. Moral philosophers, theologians, and social scientists try to identify objective values so as to forestall the relativist menace. I think these efforts have failed. Moral relativism is a plausible doctrine, and it has important implications for how we conduct our lives, organize our societies, and deal with others.

I offer some thoughts here.