论文标题
一些与社区有关的模糊涵盖基于基于的粗糙集模型及其在决策中的应用
Some neighborhood-related fuzzy covering-based rough set models and their applications for decision making
论文作者
论文摘要
模糊粗糙集（FRS）对数据挖掘过程有很大的影响，模糊的逻辑运营商在FRS理论的发展中起着关键作用。为了将FRS理论进一步推广到更复杂的数据环境中，我们首先根据本文中的重叠函数及其含义提出了四种类型的模糊邻里操作员。同时，定义了来自原始模糊覆盖的派生模糊覆盖物，并且还研究了基于有限模糊覆盖物的基于重叠功能的模糊邻里操作员之间的平等性。其次，我们证明，根据等价关系，可以将新的运营商分为17个组，并且也讨论了这17种运营商之间的部分秩序关系。进一步，D'Eer等人给出的基于$ t $ norm的模糊邻里运营商的比较。还制作了两种类型的与邻里相关的模糊基于覆盖的粗糙集模型，这些模型是通过不同类型的模糊逻辑操作员提出的不同模糊的邻里操作员来定义的。此外，还讨论了分组和部分秩序关系。最后，提出了一种新颖的模糊性能方法来解决生物合成纳米材料的精选问题，并通过将其结果与九种不同的方法进行比较，可以验证我们新方法的合理性和可执行性。
Fuzzy rough set (FRS) has a great effect on data mining processes and the fuzzy logical operators play a key role in the development of FRS theory. In order to further generalize the FRS theory to more complicated data environments, we firstly propose four types of fuzzy neighborhood operators based on fuzzy covering by overlap functions and their implicators in this paper. Meanwhile, the derived fuzzy coverings from an original fuzzy covering are defined and the equalities among overlap function-based fuzzy neighborhood operators based on a finite fuzzy covering are also investigated. Secondly, we prove that new operators can be divided into seventeen groups according to equivalence relations, and the partial order relations among these seventeen classes of operators are discussed, as well. Go further, the comparisons with $ t$-norm-based fuzzy neighborhood operators given by D'eer et al. are also made and two types of neighborhood-related fuzzy covering-based rough set models, which are defined via different fuzzy neighborhood operators that are on the basis of diverse kinds of fuzzy logical operators proposed. Furthermore, the groupings and partially order relations are also discussed. Finally, a novel fuzzy TOPSIS methodology is put forward to solve a biosynthetic nanomaterials select issue, and the rationality and enforceability of our new approach is verified by comparing its results with nine different methods.
