# Repeatable Random Permutation Set

arXiv: https://arxiv.org/abs/2211.01676 · HTML: https://mlsanity.com/paper/2211.01676/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 2 of its 16 references that are in the map.
- First posted on arXiv 3 Nov 2022.

## Builds on (most cited first, 2 of 2)

- [Generalized Evidence Theory](https://mlsanity.com/paper/1404.4801/) (2014)
- [Maximum Entropy of Random Permutation Set](https://mlsanity.com/paper/2203.11941/) (2021)

## Abstract (arXiv)

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 R2PS) 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 R2PS.