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中文摘要：
雷达探测距离随着发射功率、频率等不确定参数变化而变化。以凸分析和区间数学为基础，借助一阶泰勒级数，提出了近似估计雷达探测距离的两种非概率集合理论模型。它们将不确定参数描述为凸集合和区间变量，克服了传统处理不确定性问题的概率方法需要知道不确定参数详细统计信息的局限，而且计算量较少。通过算例与概率分析方法相比较。表明了非概率集合理论模型的可行性和优越性。
英文摘要：
Radar detection range varies with uncertain parameters such as transmitter power, frequency etc. Based on convex analysis and interval mathematics, two new non-probabilistie set-theoretical models, which approximately estimate radar detection range through first-order Taylor series, are presented. The proposed two methods describe the uncertain parameters as convex set and interval variables and overcome the shortcoming that probabilistic method need detailed statistical information of uncertain parameters, at the same time, they need less computational efforts than the latter method. Numerical example is used to illustrate the methods which show both the feasibility and superiority compared with probabilistic method.
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