aptagramn.
An anagram in which the new word or phrase has a similar meaning to the original word.
Example Citation:
"But it is even more fascinating when we reconfigure words into other words that bear a meaningful relationship to the base. These significant tandems are called aptagramswords that anagram into their own synonyms."
Richard Lederer, "Looking at language; Check out this ever-changing parade of antigrams," The Patriot-Ledger, March 22, 1997