Journal
KNOWLEDGE-BASED SYSTEMS
Volume 91, Issue -, Pages 93-101Publisher
ELSEVIER
DOI: 10.1016/j.knosys.2015.10.007
Keywords
Multigranulation fuzzy approximation space; Variable precision rough sets; Lower and upper approximations; Three-way decisions
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Funding
- National Natural Science Foundation of China [61300121, 61170107, 61573127, 61502144]
- Natural Science Foundation of Hebei Province [A2013208175, A2014205157]
- Training Program for Leading Talents of Innovation Teams in the Universities of Hebei Province [LJRC022]
- Doctoral Starting up Foundation of Hebei University of Science and Technology [QD201228]
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This paper studies variable precision multigranulation fuzzy decision-theoretic rough sets in an information system. We firstly review definitions and properties of multigranulation fuzzy rough sets. A novel membership degree based on single granulation rough sets is proposed. Then two operators based on this membership degree are defined. By employing these operators, two types of variable precision multigranulation fuzzy rough sets in an information system are proposed. Finally, inspired by three-way decisions, we propose Type-1 variable precision multigranulation decision-theoretic fuzzy rough sets. (C) 2015 Elsevier B.V. All rights reserved.
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