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http://hdl.handle.net/10397/98633
| Title: | Equivalent structures of interval sets and fuzzy interval sets | Authors: | Hu, BQ Wong, H Yiu, KFC |
Issue Date: | Jan-2018 | Source: | International journal of intelligent systems, Jan. 2018, v. 33, no. 1, p. 68-92 | Abstract: | Ideas of interval sets come from the lower and upper approximations of rough sets to study a unified structure of rough sets and their generalizations. Starting from the interval sets and their operations, this paper summarizes and analyzes other sets that have similarities with the interval sets or fuzzy interval sets. Our conclusions are that interval sets are mathematically equivalent to shadowed sets and flou sets, respectively, and fuzzy interval sets are mathematically equivalent to interval-valued fuzzy sets and intuitionistic fuzzy sets, respectively. | Publisher: | John Wiley & Sons Ltd. | Journal: | International journal of intelligent systems | ISSN: | 0884-8173 | DOI: | 10.1002/int.21940 | Rights: | © 2017 Wiley Periodicals, Inc. This is the peer reviewed version of the following article: Hu, B.Q., Wong, H. and Yiu, K.-f.C. (2018), Equivalent Structures of Interval Sets and Fuzzy Interval Sets. Int. J. Intell. Syst., 33: 68-92, which has been published in final form at https://doi.org/10.1002/int.21940. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited. |
| Appears in Collections: | Journal/Magazine Article |
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|---|---|---|---|---|
| Wong_Equivalent_Structures_Interval.pdf | Pre-Published version | 1.47 MB | Adobe PDF | View/Open |
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