Fuzzy矩阵方程=■的解及性质

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

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.