论文标题
残留的多弹性作为模糊粗糙集的真实价值集
Residuated Multilattice as set of Truth Values for Fuzzy Rough Sets
论文作者
论文摘要
2004年，Anna Maria Radzikowska等人\ cite {rk2004}研究了模糊的粗糙集，其中一组真实值是任意的残留晶格。在本文中，我们通过将残留的多弹药$ m $作为真实价值集来扩展他们的工作。 $ M $ fuzzy的粗糙套件是使用残留的多弹药$ m $提供的剩余操作员定义的。根据二进制模糊关系的类别，我们定义了几类$ m $ fuzzy的粗糙集，并研究了这些类别的某些属性。
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.
