Relative Reduction of Neighborhood-Covering Pessimistic Multigranulation Rough Set Based on Evidence Theory
1
School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China
2
Department of Biostatistics, Bioinformatics, and Biomathematics, Georgetown University, Washington, DC 20057, USA
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Information 2019, 10(11), 334; https://doi.org/10.3390/info10110334
Received: 12 September 2019 / Revised: 25 October 2019 / Accepted: 25 October 2019 / Published: 29 October 2019
(This article belongs to the Section Information Theory and Methodology)
Relative reduction of multiple neighborhood-covering with multigranulation rough set has been one of the hot research topics in knowledge reduction theory. In this paper, we explore the relative reduction of covering information system by combining the neighborhood-covering pessimistic multigranulation rough set with evidence theory. First, the lower and upper approximations of multigranulation rough set in neighborhood-covering information systems are introduced based on the concept of neighborhood of objects. Second, the belief and plausibility functions from evidence theory are employed to characterize the approximations of neighborhood-covering multigranulation rough set. Then the relative reduction of neighborhood-covering information system is investigated by using the belief and plausibility functions. Finally, an algorithm for computing a relative reduction of neighborhood-covering pessimistic multigranulation rough set is proposed according to the significance of coverings defined by the belief function, and its validity is examined by a practical example.
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Keywords:
knowledge reduction; multigranulation; neighborhood-covering rough set; belief function; plausibility function
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
MDPI and ACS Style
You, X.; Li, J.; Wang, H. Relative Reduction of Neighborhood-Covering Pessimistic Multigranulation Rough Set Based on Evidence Theory. Information 2019, 10, 334. https://doi.org/10.3390/info10110334
AMA Style
You X, Li J, Wang H. Relative Reduction of Neighborhood-Covering Pessimistic Multigranulation Rough Set Based on Evidence Theory. Information. 2019; 10(11):334. https://doi.org/10.3390/info10110334
Chicago/Turabian StyleYou, Xiaoying; Li, Jinjin; Wang, Hongkun. 2019. "Relative Reduction of Neighborhood-Covering Pessimistic Multigranulation Rough Set Based on Evidence Theory" Information 10, no. 11: 334. https://doi.org/10.3390/info10110334
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