[1]HU Zhiyong,MI Jusheng,FENG Tao,et al.Inclusion relation of upper and lower approximations of multigranularity fuzzy rough set in two universes[J].CAAI Transactions on Intelligent Systems,2019,14(1):115-120.[doi:10.11992/tis.201804046]
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Inclusion relation of upper and lower approximations of multigranularity fuzzy rough set in two universes

CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume: 14 Number of periods: 2019 1 Page number: 115-120 Column: 学术论文—人工智能基础 Public date: 2019-01-05
Title:
Inclusion relation of upper and lower approximations of multigranularity fuzzy rough set in two universes
Author(s):
HU Zhiyong1;  MI Jusheng1;  FENG Tao2;  YAO Aimeng1
1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China;
2. School of Sciences, Hebei University of Science and Technology, Shijiazhuang 050024, China
Keywords:
fuzzy set; rough set; dual domain; multi-granularity; upper approximation; lower approximation; standardized method; inclusion relation; sufficient condition
CLC:
O236;TP18
DOI:
10.11992/tis.201804046
Abstract:
To solve the problem that the upper and lower approximations of multigranularity rough set in two universe may no longer have an inclusion relation, this paper will present a sufficient condition for the inclusion relation of the upper and lower approximations in two universes. Furthermore, we use the standardized method to transform upper and lower approximations with no inclusion relation into upper and lower approximations with an inclusion relation. It is verified by an example that this method can effectively solve the problem that the upper and lower approximations of the multigranularity fuzzy rough set in two universes have inclusion relation.
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