arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2001.01781cs.AI

Modeling Uncertainty and Imprecision in Nonmonotonic Reasoning using Fuzzy Numbers

Indian Statistical Institute(印度统计研究所);Jadavpur University(贾达普大学)

Sandip Paul, Kumar Sankar Ray, Diganta Saha

英文摘要:

To deal with uncertainty in reasoning, interval-valued logic has been developed. But uniform intervals cannot capture the difference in degrees of belief for different values in the interval. To salvage the problem triangular and trapezoidal fuzzy numbers are used as the set of truth values along with traditional intervals. Preorder-based truth and knowledge ordering are defined over the set of fuzzy numbers defined over $[0,1]$. Based on this enhanced set of epistemic states, an answer set framework is developed, with properly defined logical connectives. This type of framework is efficient in knowledge representation and reasoning with vague and uncertain information under nonmonotonic environment where rules may posses exceptions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑