考虑指标协同效应重构的联合作战体系效能评估灰色主成分模型

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中图分类号：N945.25 文献标志码：A DOI：10.12305/j.issn.1001-506X.2025.05.18

Abstract：The number and dimensionality of system efectiveness evaluation indicators are numerous，and theindicators are interrelated and have synergistic effects，which increases thecomputational complexity of effectiveness evaluation.To address this issue，a grey principal components analysis （GPCA） reconstruction method of joint operation system efectivenessindicator considering synergism is proposed.Firstly，analyzing the operational mision，tasks，and processes of the joint air defense combat system of systems，the system effectiveness evaluation indicatorunderthe joint operation mode isconstructed，and the grey incidence model is used to analyzewhether there is synergism between the indicators.Then，based on thediscoveryof synergism among idicators，three strategies are proposed to reconstruct the efectiveness evaluation indicator system of joint operation system.Combined with the GPCA method，a GPCA model with synergism is constructed to reduce the dimension of effectiveness evaluation indicator.Finally，this method isapplied to the effectiveness evaluation case of a joint air defense operation system，and the indicators with synergism are selected.The effectiveness evaluation indicator system is reconstructed.Thecomparison and analysis of thecalculation results and methods indicate that the proposed method can effectively find the synergism between the indicators，and the reconstructed evaluation index system maintains“isomorphism”.

Keywords：system-of-systems effectivenessevaluation；synergism；grey incidence；indicator reconstruction；grey principal component analysis（GPCA）

0 引言

随着装备数字化水平的不断提高，越来越多的高科技装备被运用到现代战争中，这导致战争形式的巨大变化。（剩余27647字）