摘要
航空信息支援系统在空中力量体系对抗过程中起着兵力倍增器的作用,对航空信息支援系统的能力进行定量评估具有重要的现实意义.在介绍了区间数和语言评估标度的基础上,分别提出了区间数的幂运算法则和语言评估标度转化为区间数的方法.通过将语言评价值转化为[0,1]上的区间数,从而实现了定性指标到定量指标的转换.将航空信息支援系统分解为系统能力矢量、人机交互矢量和人员行为矢量,进而分别建立了三个能力矢量的指标体系.应用区间数特征向量法确定了指标体系中各个指标的区间数权重,利用区间集结算子对三个指标体系中的各个指标进行聚合.提出了区间加权矢量和法,利用该方法对三个能力矢量进行聚合.最后通过实例说明了该方法的有效性.
Air information support systems play key function as troop multiplicator in the system conflict of air power, and study on quantitative evaluation of air information support systems has importantly realistic Significance. We put forward power algorithm of interval number and a method of translating language evaluation criterion into interval number based on interval number and language evaluation criterion was introduced. The conversion of qualitative index to quantitative index was carried out by translating language evaluation value into interval number between zero and one. Then air information support systems were decomposed system capability vector, man-machine interaction vector and personnel behavior vector, and their criterion systems were built. The interval-number weight of each index wa ascertained by adopting interval-number eigenvector method, and each index of the three criterion systems was aggregated by applying IA operator. Then the method of interval vector sum with weight was brought forward, and the three capability Vectors were aggregated by applying this method. Finally, an example was given to explain the validity of the method.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第3期157-162,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(70671106)
关键词
区间数
区间集结算子
不确定语言
信息支援系统
interval number
IA operator
uncertain language
information support systems