Geometric identification of search states on (F, F)-information

Using P-sets, the concepts of (F̅, F)-information, (F̅, F)-search scale and (F̅, F)-search circle are proposed. Meanwhile, this paper give the search principle of (F̅, F)-information, the sequence theorem of (F̅, F)-search scale, the internal-outer point theorem of the unit discrete interval on (F̅, F)-search scale, and the position theorem of (F̅, F)-search circle. (F̅, F)-search circle is a series of concentric circles. The geometric identification theorem and the identification criterion of the search states on (F̅, F)-information are given by (F̅, F)-search circle. This paper also provides the application of identifying the search states on (F̅, F)-information. The geometric identification of the search states on (F̅, F)-information can enhance the geometry intuitive characteristic of the search states as well as (F̅, F)-information size in information systems. The geometric identification of the search states on (F̅, F)-information provides a new visualization method for information systems' search states.