模糊粗糙集的剩余重格作为真假值集
Residuated Multilattice as set of Truth Values for Fuzzy Rough Sets
摘要：
2004年，Anna Maria Radzikowska等的\cite{RK2004}研究了真假值为任意剩余格的模糊粗糙集。在本文中，我们扩展了他们的工作，考虑一个剩余的多重格$M$的真假值的集合。$M$ -模糊粗糙集的定义使用的剩余操作提供的剩余多重格$M$。根据二元模糊关系的类别，定义了几类$M$ -模糊粗糙集，并研究了它们的一些性质。
英文摘要：
In 2004 Anna Maria Radzikowska et al \cite{RK2004} investigated the fuzzy rough sets where the set of truth values is an arbitrary residuated lattice. In this paper, we extend their work by considering a residuated multilattice $M$ as the set of truth values. $M$-fuzzy rough sets are defined using the residuation operators provided by residuated multilattice $M$. Depending on classes of binary fuzzy relations, we define several classes of $M$-fuzzy rough sets and investigate some properties of these classes.
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。
