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A new extension of fuzzy sets using rough sets: R-fuzzy sets
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 the...
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Main Authors: | , |
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Format: | Default Article |
Published: |
2009
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Subjects: | |
Online Access: | https://hdl.handle.net/2134/13244 |
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Summary: | 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. |
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