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Fuzzy extensions of the dominance-based rough set approach
International Journal of Approximate Reasoning ( IF 3.2 ) Pub Date : 2020-11-12 , DOI: 10.1016/j.ijar.2020.10.004
Marko Palangetić , Chris Cornelis , Salvatore Greco , Roman Słowiński

In this paper, we first review existing fuzzy extensions of the dominance-based rough set approach (DRSA), and advance the theory considering additional properties. Moreover, we examine the application of Ordered Weighted Average (OWA) operators to fuzzy DRSA. OWA operators have shown a lot of potential in handling outliers and noisy data in decision tables, when they are combined with the indiscernibility-based rough set approach (IRSA). We examine theoretical properties of the proposed hybridisation of OWA operators with fuzzy DRSA. At the end, we experimentally compare the robustness of the standard fuzzy DRSA approach with the OWA one.



中文翻译:

基于优势的粗糙集方法的模糊扩展

在本文中,我们首先回顾了基于优势的粗糙集方法(DRSA)的现有模糊扩展,并在考虑其他属性的前提下提出了该理论。此外,我们研究了有序加权平均(OWA)运算符在模糊DRSA中的应用。与基于不可区分性的粗糙集方法(IRSA)结合使用时,OWA操作员在处理决策表中的异常值和嘈杂数据时显示出了很大的潜力。我们检查了OWA算子与模糊DRSA混合提出的理论特性。最后,我们通过实验将标准模糊DRSA方法与OWA方法的鲁棒性进行了比较。

更新日期:2020-11-16
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