A new extension of fuzzy sets using rough sets: R-fuzzy sets

Hinde, Christopher; Yang, Yingjie

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A new extension of fuzzy sets using rough sets: R-fuzzy sets

journal contribution

posted on 2013-10-03, 12:00 authored by Christopher Hinde, Yingjie Yang

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.

History

School

Science

Department

Computer Science

Citation

HINDE, C.J. and YANG, Y., 2009. A new extension of fuzzy sets using rough sets: R-fuzzy sets. Information Sciences, 180 (3), pp.354-365.

Publisher

Version

AM (Accepted Manuscript)

Publication date

2009

Notes

This is the author’s version of a work that was accepted for publication in the journal Information Sciences. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published at: http://dx.doi.org/10.1016/j.ins.2009.10.004