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非常规突发事件情景-应对的多维情景熵研究

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针对非常规突发事件特征,分析非常规突发事件情景-应对的多维情景因子,给出了这些情景因子的特征参数及其符号表示.在传统信息熵的基础上定义了非常规突发事件情景-应对的多维情景熵,基于信息能量分布的思想,构建了多维情景熵分布概率的广义组分分布概率,在此基础上描述了非常规突发事件情景序列在不同状态空间中的不均匀程度和奇异程度,给出并证明了非常规突发事件多维情景熵的有界性、展开性、肯定性、强可加性、递推性等特性,进一步讨论了这些特性在非常规突发事件情景-应对中的作用.以云南地区发生地震灾害为案例,对多维情景熵理论及方法进行分析.计算出地震灾害过程中的多个情景熵值,比较情景空间变换的奇异情况与多维情景熵值的大小关系,验证了多维情景熵在非常规突发事件发生、转化、蔓延、耦合过程中的预测作用,为决策者提供了相应的决策依据.
Research on Unconventional Emergency Scenario-Response Multidimensional Scenario Entropy
According to the characteristics of unconventional emergencies,this paper analyzes unconventional emergency scenario-response multidimensional scenario factors,also gives the characteristic parameters and its symbolic representation of the scenario factors.Based on traditional information entropy,this paper defines the unconventional emergency scenario-response multidimensional scenario entropy.The generalized component distribution probability of the multidimensional scenario entropy is established based on the thoughts of energy distribution and based on it,this paper describes the heterogeneous degree and singular degree of the unconventional emergency scenario sequence in different state space.The features of the unconventional emergency multidimensional scenario entropy are discussed and proved,such as boundedness,extensibility,affirmation,strong additivity,recursion,and the role of these characteristics are further discussed in unconventional emergency scenarioresponse.Taking yunnan earthquake disaster for example,the multidimensional scenario entropy theory and method are analyzed.The multiple scenario entropy values are calculated in the process of earthquake disaster and the size relations are compared between the scenario space transform singularity situation and multidimensional scenario entropy value,the result verifies forecasting function of the multidimensional scenario entropy in the unconventional emergencies occurrence,transformation,contagion,coupling process.The research of this paper has important practical significance for the decision makers with a corresponding decision basis.

unconventional emergencyscenario-responsemultidimensional scenario sequencecomponent distribution probabilitymultidimensional scenario entropy

陈业华、杨娜、宋之杰

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燕山大学经济管理学院,河北秦皇岛066004

非常规突发事件 情景-应对 多维情景序列 组分分布概率 多维情景熵

国家自然科学基金国家自然科学基金河北省自然科学基金

7117117471171175G2014203219

2015

数学的实践与认识
中国科学院数学与系统科学研究院

数学的实践与认识

CSTPCD北大核心
影响因子:0.349
ISSN:1000-0984
年,卷(期):2015.45(12)
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