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Grey sets and greyness

Yang, Yingjie; John, Robert

Authors

Yingjie Yang yyang@dmu.ac.uk

Robert John robert.john@nottingham.ac.uk



Abstract

This paper discusses the application of grey numbers for uncertainty representation. It highlights the difference between grey sets and interval-valued fuzzy sets, and investigates the degree of greyness for grey sets. It facilitates the representation of uncertainty not only for elements of a set, but also the set itself as a whole. Our results show that a grey set could be specified for interval-valued fuzzy sets or rough sets under special conditions. With the notion of grey sets and their associated degrees of greyness, various set operations between grey sets are discussed.

Journal Article Type Article
Publication Date Feb 15, 2012
Journal Information Sciences
Print ISSN 0020-0255
Electronic ISSN 0020-0255
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 185
Issue 1
Institution Citation Yang, Y., & John, R. (2012). Grey sets and greyness. Information Sciences, 185(1), doi:10.1016/j.ins.2011.09.029
DOI https://doi.org/10.1016/j.ins.2011.09.029
Keywords grey sets, fuzzy sets, rough sets
Publisher URL http://www.sciencedirect.com/science/article/pii/S0020025511005032
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nd/4.0

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nd/4.0





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