论文标题
可重复的随机排列集
Repeatable Random Permutation Set
论文作者
论文摘要
作为最近提出的理论，随机排列集（RPS）可以通过穿越所有可能的排列来实现强大的信息表示。但是，在现实生活中很普遍的情况下，RP中不允许重复项目。为了解决此问题，我们提出了可重复的随机排列集（$ \ rm r^2ps $），该集合重复了项目。提出了左右连接总和组合规则，并研究了其特性，包括一致性，伪摩托效应和关联性。基于这些属性，模拟了决策支持系统应用程序，以显示$ \ rm rm r^2ps $的有效性。
Random permutation set (RPS), as a recently proposed theory, enables powerful information representation by traversing all possible permutations. However, the repetition of items is not allowed in RPS while it is quite common in real life. To address this issue, we propose repeatable random permutation set ($\rm R^2PS$) which takes the repetition of items into consideration. The right and left junctional sum combination rules are proposed and their properties including consistency, pseudo-Matthew effect and associativity are researched. Based on these properties, a decision support system application is simulated to show the effectiveness of $\rm R^2PS$.
