[1]王洪利.一种参照模糊集的云模型集合论方法研究[J].智能系统学报,2020,15(3):507-513.[doi:10.11992/tis.201810030]
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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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]
一种参照模糊集的云模型集合论方法研究
《智能系统学报》[ISSN 1673-4785/CN 23-1538/TP] 卷:
15
期数:
2020年第3期
页码:
507-513
栏目:
学术论文—人工智能基础
出版日期:
2020-05-05
- Title:
- A method of cloud model set theory referring to fuzzy sets
- Keywords:
- set theory; cloud model; cloud set; fuzzy set; cut set; cloud fraction theorem; I operation; P operation
- 分类号:
- TP18;O144
- 摘要:
- 参照模糊集构建云模型的集合论方法能够很好地扩展云模型的应用领域。本文提出了一种参照模糊集的云模型集合论方法。对云模型及其组成元素进行了阐述，提出了云集合元素的I运算和P运算，在此基础上给出了云集合的基础运算方法，研究了云集合的截集和分解定理。本文研究对云模型在集合理论方面的拓展具有较好的参考意义。
- 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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备注/Memo
收稿日期:2018-10-25。
基金项目:福建省自然科学基金面上项目(2019J01881)
作者简介:王洪利，教授，博士后，主要研究方向为电子商务、复杂经济管理系统仿真、智能决策支持系统。主持完成省级项目3项。发表学术论文 50余篇，出版专著2部.
通讯作者:王洪利.E-mail:graduated852@163.com
更新日期/Last Update:
1900-01-01