Seeking to cut the tally of fired commanders whose behavior has embarrassed the service and raised questions about how they were selected for the service’s most prestigious positions, the Navy’s top officer has tightened the standards for command and ordered a pilot study of an evaluation that allows sailors to rate their own bosses. The end goal is officers better suited for command. Chief of Naval Operations Adm. Jon Greenert spelled out his plan in a June 4 instruction that overhauls the command screening process and applies it fleetwide. By June 4, 2013, every new CO will have to go…