Abstract: In order to solve the problem of complex system in the security field by theory and computer， the objectives, conditions, and characteristics of incompatible problems in the field of security were defined from the perspective of acceptable security state value and the four elements of security on the basis of studying the theory and method of inconsistent problems, and the corresponding mathematical model was given. The key conjugate elements for the extension of the incompatible problem were defined: The hard part was the safe person and the safe thing, and the soft part was the safe society and the security system. The mathematics strategy to solve the incompatible problems in a gas station, the result showed that the application of this method could solve the problem of the safety of the gas station and provide the new ideas and the basis for safety performance management.

Key words: Security field, Incompatible problem, Emotional security capital, Extension mathematics, Gas-station

摘要： 为了完成安全领域复杂人机系统不相容问题的理论分析与计算机算法编写,在充分研究不相容问题的理论与方法的基础上,提出从可接受的安全状态值和安全四要素关系的角度界定安全领域不相容问题的目标、条件、问题特征,给出相应的数学模型。定义了解决不相容问题可拓变换的关键共轭要素:硬部为安全人与安全物,软部为安全社会与安全系统。应用本文提出的解决不相容问题的数学策略,对某加油站存在的不相容问题进行了实例分析及计算。结果表明,应用该方法可实现加油站安全不相容问题的定量化解决与控制,为安全绩效管理提供新的思路与依据。

关键词: 安全领域, 不相容问题, 安全情绪资本, 可拓变换, 加油站