完备Brouwerian格上的T-矩阵方程

T-matrix Equations in a Complete Brouwerian Lattice

利用完备Brouwerian格L上t-模T给出L上矩阵的各种运算,在此基础上研究L上T-矩阵方程A TX=B的求解问题,给出它们有解的条件.当方程的解存在时,其最大解被确定.

In this paper, some operations of matrix are given by using t- norm in a complete Brouwerian lattice and the problem of solving T- matrix equation of the form A · rX = B is discussed. Some solvability conditions for T- matrix equations A ·rX = B are obtained. When solutions existed, the largest solution is determined.