Abstract: Using function one direction S-rough sets （function one direction singular rough sets），this paper presents the concepts of f_p-state，the distance of state，and the system state being randomly disturbed by f_p-law.By employing these concepts，the state characteristics while the system state is disturbed by f_p-law，the recognition to these state characteristics，the recognition criterion and applications are given.Function one direction S-rough sets is one of the basic forms of function S-rough sets （function singular rough sets）.Function one direction S-rough sets is an important theory and method to research the inbreak forecast of system law.

Key words: function one direction S-rough sets, f_p-state, inbreak forecast, random characteristic, random recognition criterion

摘要： 利用函数单向S-粗集，提出了f_p-状态、状态距离、系统状态被f_p-规律随机入侵的概念。利用这些概念，给出系统状态被f_p-规律入侵呈现的状态特征以及对这些状态特征的识别、识别准则与应用。函数单向S-粗集是函数S-粗集的基本形式之一，函数单向S-粗集是研究系统规律入侵预测的一个重要的理论与方法。

关键词: 函数单向S-粗集, f_p-状态, 入侵预测, 随机特征, 随机识别准则