Melissa Rivers believes Kathy Griffin is self-centered beyond words ... so worried about saving her own ass that she would crap all over the legacy of Joan Rivers.
Rivers was at the 92nd Street Y in NYC where she sat down with Hoda Kotb to talk about her new book. When Hoda zeroed in on "Fashion Police" -- Melissa had trouble harnessing her anger.
Melissa believes Kathy more than disrespected Joan in the way she handled leaving the show, saying she "s*** on her mom's legacy." And she didn't stop there.
Our photogs got Griffin out Tuesday night and asked her about Melissa's comments ... but she wanted no part of it.