逻辑命题分解变换与模糊错误矩阵包含型集合方程求解研究  

Study on the Solution to the Fuzzy Error Matrix Nested Equation and the Decomposition and Transformation of Logical Proposition

作　　者：廖丽平[1] 郭开仲[2] 李颖[3] LIAO Li-ping;GUO Kai-zhong;LI Ying(School of Management,Guangdong Polytechnic Normal University,Guangzhou 510665,China;School of Management,Guangzhou Vocational College of Science and Technology,Guangzhou 510450, China;School of Management,Guangdong University of Technology,Guangzhou 510520,China)

机构地区：[1]广东技术师范学院管理学院,广东广州510665 [2]广州科技职业技术学院管理学院,广东广州510450 [3]广东工业大学管理学院,广东广州510520

出　　处：《数学的实践与认识》2019年第3期237-247,共11页Mathematics in Practice and Theory

基　　金：广东省哲学社会科学"十三五"规划项目:基于竞合关系的模糊社会网络分析方法及企业技术创新行为研究(GD16XGL20);广州市哲学社会科学"十三五"规划项目:广州新型研发机构治理机制与绩效评价体系购建研究(2018GZYB85);广东省自然科学基金广东省科技创新运行机制与政策支撑体系研究:SNM视角(2018A030313271)

摘　　要：在前期研究的基础上,对错误矩阵的概念作一个介绍,在此基础上,且对于矩阵的每一行又恰好是一个模糊错误逻辑命题.因为构成这类模糊错误矩阵的元素是集合,所以这类模糊错误矩阵之间一般是集合关系式,而不只是通常方程的等式,研究这一类模糊错误矩阵方程解的存在性,求解的方法等是理论与实践的需要.以XA■B研究对象,研究得到模糊错误矩阵集合方程XA′=B解的存在性及给出求解的例子.This paper introduced the error matrix on the basis of previous research, which contributed to the solutions to each row of the matrix which is a fuzzy error logical proposition as well. It is because this type of fuzzy error matrix is composed of sets that such fuzzy error matrix is generally relation of sets rather than normal equation. We studied on XAB to find the possible solution to the fuzzy error matrix sets of equation XA’ = B. Finally an example was presented regarding the solution to the equation.

关 键 词：模糊错误矩阵 集合关系式 包含型集合方程 

分 类 号：O241.6[理学—计算数学]