F-风险入侵生成与承灾类特征

基于公共突发事件的动态性和不确定性，利用单向S-粗集，定义了承灾类与承灾元的概念，讨论了承灾类F-风险入侵生成、F-风险入侵损失和F-入侵风险度。提出了F-风险入侵损失与入侵风险度关系定理、F-风险入侵损失规律与入侵风险度规律关系定理，以及F-风险入侵分辨定理和入侵风险度分辨定理。给出了一个研究F-入侵风险度规律识别准则及其应用的简单案例。

Generation of F-risk intrusion and hazard affected class feature

Based upon the dynamics and uncertainty of public emergencies, the concepts of hazard affected classes and hazard affected elements were first defined. F-risk intrusion generation, F-risk intrusion loss, and F-intrusion risk degree were discussed by means of one direction S-rough sets. Then the relation theorems between F-risk intrusion loss and intrusion risk degree and the relation theorems between F-risk intrusion loss law and intrusion risk degree law were proposed in conjunction with the discernible theorems of F-risk intrusion, and the discernible theorems of F- intrusion risk degree. Finally, a simple case was presented, of which the recognition criteria of F-risk intrusion degree law and its application were studied. S-rough sets is a new and useful mathematics tool for the study of public emergency management theory and its application.