灰色实物型投入产出分析的覆盖解研究

Grey Physical Input-output Analysis

由于国民经济系统的复杂性,人们在使用实物型投入产出分析工具时不可能获得各部门产品的投入与产出的确定值。采用灰色系统理论基本原理提出灰色实物型投入产出分析并给出模型及各种灰色分析系数的覆盖解公式。灰色实物型投入产出分析能处理统计数据为区间的情形,可以使决策者在不确定性情况下对复杂经济系统进行分析、预测和控制,提高人们的抗风险能力。模拟案例验证了模型计算的可行性。

Because national economy is complex, we can not obtain the exact values of input and output of every product as we utilize the physical input-output analysis. By using grey system theory, we propose grey physical input-output analysis and get the covered solution formulas of grey model and grey coefficients. The grey physical input-output analysis can dispose the situation that the statistic datum are intervals, and the decision-makers can analyze, forecast and control the economic system under the uncertain situation, and the ability to resist risk can be improved. The modified case illustrates our method.