Grey sets and greyness
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,...
| Main Authors: | , |
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| Format: | Article |
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Elsevier
2012
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| Online Access: | https://eprints.nottingham.ac.uk/2882/ |
| _version_ | 1848790898622595072 |
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| author | Yang, Yingjie John, Robert |
| author_facet | Yang, Yingjie John, Robert |
| author_sort | Yang, Yingjie |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:19:56Z |
| format | Article |
| id | nottingham-2882 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:19:56Z |
| publishDate | 2012 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-28822020-05-04T16:32:32Z https://eprints.nottingham.ac.uk/2882/ Grey sets and greyness Yang, Yingjie John, Robert 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. Elsevier 2012-02-15 Article PeerReviewed Yang, Yingjie and John, Robert (2012) Grey sets and greyness. Information Sciences, 185 (1). pp. 249-264. ISSN 0020-0255 grey sets fuzzy sets rough sets http://www.sciencedirect.com/science/article/pii/S0020025511005032 doi:10.1016/j.ins.2011.09.029 doi:10.1016/j.ins.2011.09.029 |
| spellingShingle | grey sets fuzzy sets rough sets Yang, Yingjie John, Robert Grey sets and greyness |
| title | Grey sets and greyness |
| title_full | Grey sets and greyness |
| title_fullStr | Grey sets and greyness |
| title_full_unstemmed | Grey sets and greyness |
| title_short | Grey sets and greyness |
| title_sort | grey sets and greyness |
| topic | grey sets fuzzy sets rough sets |
| url | https://eprints.nottingham.ac.uk/2882/ https://eprints.nottingham.ac.uk/2882/ https://eprints.nottingham.ac.uk/2882/ |