On sequences of fuzzy sets and fuzzy set-valued mappings

被引：0
|
作者：
Masamichi Kon
Hiroaki Kuwano
机构：
[1] Hirosaki University,Graduate School of Science and Technology
[2] Kanazawa Gakuin University,Faculty of Business Administration and Information Science
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
sequence of fuzzy sets; fuzzy set-valued mapping; fuzzy set-valued analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Based on level sets of fuzzy sets, we propose definitions of limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings. Then, their properties are derived. Limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings are fuzzified ones of them for crisp sets, where ‘crisp’ means ‘non-fuzzy’.
引用
收藏
相关论文
共 50 条
  • [31] Jensen's inequalities for set-valued and fuzzy set-valued functions
    Zhang, Deli
    Guo, Caimei
    Chen, Degang
    Wang, Guijun
    [J]. FUZZY SETS AND SYSTEMS, 2021, 404 : 178 - 204
  • [32] Rough sets and decision rules in fuzzy set-valued information systems
    Zhu, DJ
    Feng, BQ
    Guan, T
    [J]. MICAI 2005: ADVANCES IN ARTIFICIAL INTELLIGENCE, 2005, 3789 : 204 - 213
  • [33] Choquet integrals of set-valued functions with respect to set-valued fuzzy measures
    Zhang, Deli
    Guo, Caimei
    [J]. FUZZY SETS AND SYSTEMS, 2023, 457 : 80 - 104
  • [34] 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
  • [35] The fuzzy set-valued measures generated by fuzzy random variables
    Li, LS
    Sheng, ZH
    [J]. FUZZY SETS AND SYSTEMS, 1998, 97 (02) : 203 - 209
  • [36] Complex Fuzzy Set-Valued Complex Fuzzy Measures and Their Properties
    Ma, Shengquan
    Li, Shenggang
    [J]. SCIENTIFIC WORLD JOURNAL, 2014,
  • [37] Convergence of set-valued and fuzzy-valued martingales
    Li, SM
    Ogura, Y
    [J]. FUZZY SETS AND SYSTEMS, 1999, 101 (03) : 453 - 461
  • [38] Rough Fuzzy Set Model for Set-Valued Ordered Fuzzy Decision System
    Bao, Zhongkui
    Yang, Shanlin
    Zhao, Ju
    [J]. ROUGH SETS AND KNOWLEDGE TECHNOLOGY, RSKT 2014, 2014, 8818 : 673 - 682
  • [39] Fuzzy rough set model for set-valued data
    Dai, Jianhua
    Tian, Haowei
    [J]. FUZZY SETS AND SYSTEMS, 2013, 229 : 54 - 68
  • [40] Choquet integral Jensen's inequalities for set-valued and fuzzy set-valued functions
    Zhang, Deli
    Guo, Caimei
    Chen, Degang
    Wang, Guijun
    [J]. SOFT COMPUTING, 2021, 25 (02) : 903 - 918
12345