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Title: Equivalent structures of interval sets and fuzzy interval sets
Authors: Hu, BQ
Wong, H 
Yiu, KFC 
Issue Date: 2018
Publisher: John Wiley & Sons
Source: International journal of intelligent systems, 2018, v. 33, no. 1, p. 68-92 How to cite?
Journal: International journal of intelligent systems 
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.
ISSN: 0884-8173
DOI: 10.1002/int.21940
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