Yes, the power supply board(where the power cord's directly connected) has fuses. It is a multicolored or white ceramic fuse.
White ceramic fuse
multicolored ceramic fuse
To check it on the power supply board, you have to take off the rear cover of your TV. Let the unit unplug from the outlet for 1 hour to drain the voltages from the board before you do the repair.
See the location of the fuses on the picture below.
Check its continuity using the multimeter. If you've found an open one, replace it with same current(ampere) rating that is printed on the fuse itself or on the board.