期刊
IEEE TRANSACTIONS ON FUZZY SYSTEMS
卷 30, 期 7, 页码 2360-2374出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2021.3081916
关键词
Choquet integral; covering-based rough set; fuzzy set; neighborhood approximation measure; reduction
资金
- NNSFCs [61976130, 11960125]
This article proposes a novel method for multi-criteria decision-making based on fuzzy covering rough sets, utilizing nonadditive measures and nonlinear integrals. By introducing fuzzy measures and Choquet integrals, the problem of aggregation function selection and attribute reduction in MCDM is addressed.
Fuzzy sets and fuzzy rough sets are widely applied in data analysis, data mining, and decision-making. So far, the common method is to use rough approximate operators to induce aggregation functions when fuzzy rough sets are used for multi-criteria decision-making (MCDM). However, they are parametric linear and the corresponding weights are additive measures. In this article, we give a novel method for MCDM based on fuzzy covering rough sets by using the nonadditive measure [i.e., fuzzy measure (FM)] and the nonlinear integral [i.e., Choquet integral (CM)]. First, two nonadditive measures are presented by fuzzy covering lower and upper approximation operators, respectively. Moreover, both of them are FMs which are called beta-neighborhood approximation measures. Second, two types of ChIs with respect to beta-neighborhood approximation measures are constructed. A novel method, which considers the association, is presented to solve the problem of MCDM under the fuzzy covering rough set model. Third, a new approach based on beta-neighborhood approximation measures is proposed for attribute reductions in a fuzzy beta-covering information table. This approach of attribute reductions is used in MCDM. Finally, both new methods above are compared with other methods through some numerical examples and UCI data sets, respectively.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据