[1]WANG Hongli.A method of cloud model set theory referring to fuzzy sets[J].CAAI Transactions on Intelligent Systems,2020,15(3):507-513.[doi:10.11992/tis.201810030]
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A method of cloud model set theory referring to fuzzy sets

CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume: 15 Number of periods: 2020 3 Page number: 507-513 Column: 学术论文—人工智能基础 Public date: 2020-05-05
Title:
A method of cloud model set theory referring to fuzzy sets
Author(s):
WANG Hongli
School of Economic and Trade, Fujian Jiangxia University, Fuzhou 350108, China
Keywords:
set theory; cloud model; cloud set; fuzzy set; cut set; cloud fraction theorem; I operation; P operation
CLC:
TP18;O144
DOI:
10.11992/tis.201810030
Abstract:
Fuzzy sets have been extensively and deeply studied and applied. The set theory method of building cloud models with reference to fuzzy sets can well extend the application field of cloud models. In this paper, a cloud model theory based on fuzzy sets is proposed. First, the cloud model and its constituent elements are described. Afterward, the I and P operations of the cloud set elements are proposed. Then, the basic operation method of the cloud set is given. Finally, the cut set and the theorem of decomposition of the cloud set are studied. The research has significance as a good reference for extension of cloud models in the set theory.
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