Uncertainty measurement for a fuzzy set-valued information system

被引:0
|
作者
Zhaowen Li
Zhihong Wang
Qingguo Li
Pei Wang
Ching-Feng Wen
机构
[1] Yulin Normal University,Key Laboratory of Complex System Optimization and Big Data Processing in Department of Guangxi Education
[2] Guangxi University for Nationalities,School of Mathematics and Physics
[3] Hunan University,School of Mathematics and Econometrics
[4] Kaohsiung Medical University,Department of Medical Research, Center for Fundamental Science, Research Center for Nonlinear Analysis and Optimization
关键词
Fuzzy set; FSVIS; Information structure; Uncertainty; Measurement; Effectiveness;
D O I
暂无
中图分类号
学科分类号
摘要
Uncertainty measurement (UM) can offer new visual angle for data analysis. A fuzzy set-valued information system (FSVIS) which means an information system (IS) where its information values are fuzzy sets. This article investigates UM for a FSVIS. First, a FSVIS is introduced. Then, the distance between two information values of each attribute in a FSVIS is founded. After that, the tolerance relation induced by a given subsystem is acquired by this distance. Moreover, the information structure of this subsystem is brought forward. Additionally, measures of uncertainty for a FSVIS are explored. Eventually, to verify the validity of these measures, statistical effectiveness analysis is carried out. The obtained results will help us understand the intrinsic properties of uncertainty in a FSVIS.
引用
收藏
页码:1769 / 1787
页数:18
相关论文
共 50 条
  • [1] Uncertainty measurement for a fuzzy set-valued information system
    Li, Zhaowen
    Wang, Zhihong
    Li, Qingguo
    Wang, Pei
    Wen, Ching-Feng
    [J]. INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2021, 12 (06) : 1769 - 1787
  • [2] Uncertainty Measurement for Fuzzy Set-Valued Data
    Wang, Sichun
    Wang, Yini
    Tang, Hongxiang
    [J]. IEEE ACCESS, 2020, 8 : 32297 - 32311
  • [3] Uncertainty Measurement for a Set-Valued Information System: Gaussian Kernel Method
    He, Jiali
    Wang, Pei
    Li, Zhaowen
    [J]. SYMMETRY-BASEL, 2019, 11 (02):
  • [4] A fuzzy rough set based fitting approach for fuzzy set-valued information system
    Ahmed W.
    Beg M.M.S.
    Ahmad T.
    [J]. International Journal of Information Technology, 2020, 12 (4) : 1355 - 1364
  • [5] Information Structures and Uncertainty Measures in an Incomplete Probabilistic Set-Valued Information System
    Xie, Xiaoliang
    Li, Zhaowen
    Zhang, Pengfei
    Zhang, Gangqiang
    [J]. IEEE ACCESS, 2019, 7 : 27501 - 27514
  • [6] Information structures in a fuzzy set-valued information system based on granular computing
    Li, Zhaowen
    Wang, Zhihong
    Song, Yan
    Wen, Ching-Feng
    [J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2021, 134 (134) : 72 - 94
  • [7] Uncertainty Measures in Fuzzy Set-Valued Information Systems Based on Fuzzy β-Neighborhood Similarity Relations
    Ren, Jie
    Zhu, Ping
    [J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2023, 31 (04) : 585 - 618
  • [8] SET-VALUED MEASURE AND FUZZY SET-VALUED MEASURE
    ZHANG, WX
    LI, T
    MA, JF
    LI, AJ
    [J]. FUZZY SETS AND SYSTEMS, 1990, 36 (01) : 181 - 188
  • [9] Extension of the Fuzzy Integral for General Fuzzy Set-Valued Information
    Anderson, Derek T.
    Havens, Timothy C.
    Wagner, Christian
    Keller, James M.
    Anderson, Melissa F.
    Wescott, Daniel J.
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2014, 22 (06) : 1625 - 1639
  • [10] Reduction in a fuzzy probability information system based on incomplete set-valued data
    Li, Zhaowen
    Luo, Damei
    Yu, Guangji
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2023, 45 (03) : 3749 - 3765