Found the solution. Looks like using fuzzy_like_this_field and min_similarity is the way to go.
$data_string = '{
"from" : 0, "size" : 100,
"query": {
"fuzzy_like_this_field" : {
"thread.title" : {
"like_text" : "this is a test",
"min_similarity": 0.9
}
}
}
}';