This is rather annoying, it's hard to get anything done if the game crashes everytime i want to check them.
I have this problem as well. Everything else in the game seems to work, but as soon as I click on the objectives icon the game crashes and gives no error message. This currently only happens on one of my vaults. Unfortunately, it is my most advanced vault.
I tried clearing cache and rebooting but that didn't seem to help. I thought about clearing data and/or reinstalling but I don't want to lose my savegame.
I am using an Asus Transformer TF701T tablet running stock OS which is currently Android 4.4.2