Grey sets and greyness

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Yang, Yingjie and John, Robert (2012) Grey sets and greyness. Information Sciences, 185 (1). pp. 249-264. ISSN 0020-0255

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Official URL: http://www.sciencedirect.com/science/article/pii/S0020025511005032

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.

Item Type:	Article
RIS ID:	https://nottingham-repository.worktribe.com/output/709393
Keywords:	grey sets, fuzzy sets, rough sets
Schools/Departments:	University of Nottingham, UK > Faculty of Science > School of Computer Science
Identification Number:	10.1016/j.ins.2011.09.029
Depositing User:	John, Professor Robert
Date Deposited:	23 Oct 2015 13:33
Last Modified:	04 May 2020 16:32
URI:	https://eprints.nottingham.ac.uk/id/eprint/2882

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