基于三角模糊数互补判断矩阵的装备战场威胁评估  

Based on the Triangular Fuzzy Number Complementary Comparison Matrix of the Equipment Battlefield Threat Assessment

作　　者：李军[1] 

机构地区：[1]装甲兵工程学院基础部,北京100072

出　　处：《聊城大学学报（自然科学版）》2010年第3期13-17,共5页Journal of Liaocheng University:Natural Science Edition

基　　金：国家自然科学基金资助项目(40874023)

摘　　要：根据三角模糊数互补判断矩阵完全一致性的概念,通过建立一个多层次非线性规划,求解出三角模糊数互补矩阵的权重向量,并将其和熵权结合,得到一种主客观互补的权重向量,建立了新的威胁评估模型.利用三角模糊数的期望值公式,稳定而有效地对决策方案进行了排序.算例结果表明该模型是合理而有效的.According to the concept of the triangular fuzzy number complementary comparison matrix complete consistency and the establishment of a multi-level nonlinear programming,we solve the weight vector of the triangular fuzzy number complementary comparison matrix.With combination of its entropy,and acquire a complementary objective and subjective weight vector,we established a new model of the threat assessment.Make use of the expectation formula of the triangular fuzzy number,we sort the decision-making program with stable and effective.The simulation results show that the model is reasonable and effective.

关 键 词：三角模糊数互补矩阵 威胁评估 模糊决策 熵 

分 类 号：E911[军事] O159[理学—数学]