تقرير
Random Walk in Random Permutation Set Theory
| العنوان: | Random Walk in Random Permutation Set Theory |
|---|---|
| المؤلفون: | Zhou, Jiefeng, Li, Zhen, Deng, Yong |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Computer Science - Artificial Intelligence, Computer Science - Information Theory |
| الوصف: | Random walk is an explainable approach for modeling natural processes at the molecular level. The Random Permutation Set Theory (RPST) serves as a framework for uncertainty reasoning, extending the applicability of Dempster-Shafer Theory. Recent explorations indicate a promising link between RPST and random walk. In this study, we conduct an analysis and construct a random walk model based on the properties of RPST, with Monte Carlo simulations of such random walk. Our findings reveal that the random walk generated through RPST exhibits characteristics similar to those of a Gaussian random walk and can be transformed into a Wiener process through a specific limiting scaling procedure. This investigation establishes a novel connection between RPST and random walk theory, thereby not only expanding the applicability of RPST, but also demonstrating the potential for combining the strengths of both approaches to improve problem-solving abilities. Comment: 27 pages, 8 figures; references added |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.03978 |
| رقم الأكسشن: | edsarx.2404.03978 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |