摘要
针对解释结构模型中的可达矩阵,定义了一种新的矩阵自乘运算,得出了一些关于可达矩阵的重要性质,并运用之对解释结构模型方法进行了改进.文中从理论上严格证明了改进方法的正确性,并给出了计算机算法,为计算机程序的实现提供了可操作性的指导意义.同时,以建筑工程企业投资阶段风险管理为例,证实了该方法的简便.
A new operation of matrix multiplied by itself is defined for explaining the reachable matrix in the interpretive structural modeling.Some important properties about the reachable matrix.Apply these properties and improve the method of interpreting structural modeling.The paper strictly proves the correctness of the improved method in theory and exemplifies the simplicity of the method.At the same time,it provides effective guiding significance for the realization of computer programs.This method can simplify the process of simplifying complex system,and provide some convenience for the analysis of complex social and economic system and group decision making.In this paper,the theoretical practicality and simplicity of the improved method are proved by the risk management of the investment stage of the construction engineering enterprise.
作者
李晶
李颖
彭晓易
LI Jing;LI Ying;PENG Xiaoyi(School of Economics and Management,Ningbo University of Technology,Ningbo 315000;School of Computer Science,Shanghai University,Shanghai 200444;Quality Development Institute,Kunming University of Science and Technology,Kunming 650500)
出处
《系统科学与数学》
CSCD
北大核心
2021年第7期2046-2062,共17页
Journal of Systems Science and Mathematical Sciences
基金
云南省社会科学基金项目(YB2019036)
云南省社会科学基金项目(KKSY201458052)
国家自然科学基金项目(11601315)
国家自然科学基金项目(71964018)资助课题
关键词
解释结构模型
级间划分
矩阵自乘运算
缩减矩阵
Interpretive structural modeling
hierarchy division
operation of matrix multiplied by itself
condensation matrix
