Fuzzy矩阵方程=■的解及性质  

Solution and Its Properties of the Fuzzy Matrix Equation =■

作　　者：孙建平[1] 张艳娥[1] 王熙照[2] 

机构地区：[1]河北职工医学院数学组,保定071000 [2]河北大学数学系,石家庄070000

出　　处：《模糊系统与数学》1998年第4期72-78,共7页Fuzzy Systems and Mathematics

摘　　要：本文首先给出了矩阵方程Ax＝b的解的定义，然后对此解进行了深入的研究。给出了锥形Fuzzy集的概念，讨论了方程Ax－b与锥形Fuzzy集之间的关系。最后证明了一类锥形Fuzzy集全体构成完备的Fuzzy度量空间。In this paper,we first give the solution of the Matrix equation Ax=b and make a deepstudy on the solution. Secondly,we give the concept of cone-shaped fuzzy sets and discussthe relation between the matrix equation Ax=b and the cone-shaped fuzzy sets. Finaly weprove that the family of a kind of cone-shaped fuzzy sets is a complete fuzzy metrix space.

关 键 词：模糊数 矩阵方程 模糊矩阵方程 解 

分 类 号：O159[理学—数学] O151.21[理学—基础数学]