Function one direction S-rough sets and F -decomposition of image

Function S-rough sets (function singular rough sets) has function (law) characteristic and dynamic characteristic. Function one direction S-rough sets (function one direction singular rough sets) is one of the three forms of function S-rough sets. By employing function one direction S-rough sets, this paper presents F-decomposition concept of image, F-decomposition theorem of image, F-decomposition of image, and the recognition criterion and application. F-decomposition of image is a new research direction of function S- rough sets, and function S-rough sets is a new mathematical tool in the research of the decomposition of image and the anti-fake of image.