模糊相似矩阵方程的极小相似解

The Minimum Similarity Solutions of Fuzy Similarity Matrix Equations

文献 [1 ]给出了变次模糊相似矩阵方程 Xk..H =S的概念 ,并证明了它有解当且仅当 Y.H =S有一型解 ,文献 [2 ]解决了模糊相似矩阵方程 Y.H =S一型解的存在性问题 .文中将进一步讨论模糊相似矩阵方程 Y H=S的极小相似解与极小一型解的存在性问题 ,并给出了两个重要定理 。

The document[1] defined fuzzy similarity matrix equation X k H=S of varied order, and showed that it had solutions if equation YH=S had the solution of fuzzy eqivalent matrices. The document [2] gave a necessary and sufficient condition under which the equation YH=S had a solution of fuzzy equivalent matrices. This paper gave a minimum solution set for equation YH=S.