When I first glanced at your post I thought it said "cat keeps getting up IN the refrigerator" and I was instantly delighted cause my cat Cosmo (the eternal chowhound) does that. If you don't want her up there, put something that smells bad to her. If you do want her up there, put a nice warm towel or blanket and she'll make it her bed. I had a cat who spent his old age on top of the frige; only came down to eat and use the box.