Use DAX or Power Query to create a calculated column

ok so if there is no rule, what is the rule you want  to select the data, just the first one in sequential order? 

I would add an index in the transformation layer (power query), under add column / index column

and then create a dax measure

addressstatus =
VAR person =
    SELECTEDVALUE ( 'table'[fullname] )
VAR currindex =
    SELECTEDVALUE ( 'table'[idcolumn] )
VAR minid =
    CALCULATE ( min ( 'table'[idcolumn] ), 'table'[fullname] = person )
VAR status =
    IF ( currenindex = minid, "Current Address", "PreviousAddress" )
RETURN
    status