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针对装备对抗目标分配问题中的随机、灰色双重不确定性,建立了装备对抗目标的随机灰色期望值分配模型。首先,给出了随机灰色变量的定义,研究了随机灰色变量的加(减)、乘、除、大小关系运算和期望值算法;其次,建立了装备对抗目标的多目标随机灰色期望值模型和标准随机灰色期望值目标规划模型;最后,给出了电子装备侦察地域的随机灰色期望值分配实例,并将其转化为一般灰色线性规划模型进行求解。结果表明:该模型可应对装备对抗目标分配问题中的随机灰色特征,在目标分配领域具有潜在的应用价值。
Aiming at the double random and gray uncertainty in the target assignment of equipment confrontation, a random gray expected value assignment model of equipment confrontation target is established. First of all, the definition of random gray variables is given, the addition, subtraction, multiplication, division, size relation and expectation algorithm of random gray variables are studied. Secondly, a multi-objective random gray expected value model and standard randomized gray variables Finally, the random gray expectation value assignment of electronic equipment reconnaissance region is given and transformed into a general gray linear programming model. The results show that this model can deal with the random gray features in the target allocation problem and has potential application value in the field of target allocation.