Grey sets and greyness

Yang, Yingjie; John, Robert

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.

Citation

Yang, Y., & John, R. (2012). Grey sets and greyness. Information Sciences, 185(1), https://doi.org/10.1016/j.ins.2011.09.029

• Journal Article Type: Article
• Publication Date: Feb 15, 2012
• Deposit Date: Oct 23, 2015
• Publicly Available Date: Oct 23, 2015
• Journal: Information Sciences
• Print ISSN: 0020-0255
• Electronic ISSN: 1872-6291
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 185
• Issue: 1
• DOI: https://doi.org/10.1016/j.ins.2011.09.029
• Keywords: grey sets, fuzzy sets, rough sets
• Public URL: https://nottingham-repository.worktribe.com/output/709393
• Publisher URL: http://www.sciencedirect.com/science/article/pii/S0020025511005032