A new extension of fuzzy sets using rough sets: R-fuzzy sets |
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| Authors: | Yingjie Yang Chris Hinde |
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| Affiliation: | a Centre for Computational Intelligence, De Montfort University, The Gateway, Leicester LE1 9BH, UK
b Department of Computer Science, Loughborough University, Loughborough LE11 3TU, UK |
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| Abstract: | 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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| Keywords: | Fuzzy sets Rough sets R-fuzzy sets |
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