Journal
INFORMATION SCIENCES
Volume 180, Issue 3, Pages 354-365Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2009.10.004
Keywords
Fuzzy sets; Rough sets; R-fuzzy sets
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This paper presents a new extension of fuzzy sets: R-fuzzy sets. The membership of an element of a R-fuzzy set is represented as a rough set. This new extension facilitates the representation of an uncertain fuzzy membership with a rough approximation. Based on our definition of R-fuzzy sets and their operations, the relationships between R-fuzzy sets and other fuzzy sets are discussed and some examples are provided. (C) 2009 Elsevier Inc. All rights reserved.
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