格上矩阵的合成和T-传递矩阵

Composition on L-matrices and T-transitive Matrix

利用完备的分配格L上的三角模定义了L上的矩阵合成,给出了合成运算的一些基本性质.并进一步给出了T-传递矩阵和传递矩阵的定义,讨论了T-传递矩阵和传递矩阵的性质,以及两种矩阵间的关系.最后,通过构造的一个实例说明T-传递矩阵未必是传递矩阵.

The composition on matrices over L is defined using triangular norms on a complete dis-tributive lattice L and some basic properties of the operation are provided. Furthermore, the defi-nitions of T-transitive matrix and transitive matrix are given with discussions made on the proper-ties and relationships between them. Finally, an example is adopted to illustrate that T-transitive matrix is not necessarily a transitive matrix.