Variable precision multigranulation decision-theoretic fuzzy rough sets

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 bas...

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Bibliographic Details
Published in:	Knowledge-based systems Vol. 91; pp. 93 - 101
Main Authors:	Feng, Tao, Mi, Ju-Sheng
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01-01-2016
Subjects:	Lower and upper approximations Multigranulation fuzzy approximation space Three-way decisions Variable precision rough sets Three-way decisions Lower and upper approximations Variable precision rough sets Multigranulation fuzzy approximation space
Online Access:	Get full text
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Summary:	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.
ISSN:	0950-7051 1872-7409
DOI:	10.1016/j.knosys.2015.10.007