论文标题
POSET矩阵结构通过部分组成操作
Poset Matrix Structure Via Partial Composition Operations
论文作者
论文摘要
本文通过为此目的制定一组新的构建规则来研究POSET矩阵的结构。在这个方向上，将引入部分组成操作的技术，作为通过将结构物种的组合设置扩展到Poset矩阵来构建任何给定尺寸的Poset矩阵的基础。更具体地说，适用于POSET矩阵的三个新的部分组成操作被定义为本研究的基础。从查看任何POSET矩阵及其双重方面，就这些操作而得出了几种新的结构属性。
This paper examines the structure of poset matrices by formulating a set of new construction rules for this purpose. In this direction, the technique of partial composition operation will be introduced as the basis for the construction of poset matrices of any given size by extending the combinatorial setting of species of structures to poset matrices. More specifically, three new partial composition operations that apply to poset matrices are defined as the foundation for this study. Several new structural properties derived from viewing any poset matrix and its dual in terms of these operations are highlighted.
