SET-VALUED CHOQUET-PETTIS INTEGRALS

被引：3
|
作者：
Park, Chun-Kee [1 ]
机构：
[1] Kangwon Natl Univ, Dept Math, Chunchon 200701, South Korea
来源：
KOREAN JOURNAL OF MATHEMATICS | 2012年 / 20卷 / 04期
关键词：
set-valued mapping; Choquet integral; Choquet-Pettis integral;
D O I：
10.11568/kjm.2012.20.4.381
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the Choquet-Pettis integral of set-valued mappings and investigate some properties and convergence theorems for the set-valued Choquet-Pettis integrals.
引用
收藏
页码：381 / 393
页数：13
相关论文
共 50 条
  • [1] Set-valued Choquet integrals revisited
    Zhang, DL
    Guo, CM
    Liu, DY
    [J]. FUZZY SETS AND SYSTEMS, 2004, 147 (03) : 475 - 485
  • [2] 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
  • [3] On Convergence Theorems of Set-Valued Choquet Integrals
    Wang, Hongxia
    Li, Shoumei
    [J]. NONLINEAR MATHEMATICS FOR UNCERTAINTY AND ITS APPLICATIONS, 2011, 100 : 101 - 108
  • [4] Real-valued Choquet integrals for set-valued mappings
    Huang, Yan
    Wu, Congxin
    [J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2014, 55 (02) : 683 - 688
  • [5] Some properties of Choquet integrals of set-valued functions
    Jang, LC
    Kil, BM
    Kim, YK
    Kwon, JS
    [J]. FUZZY SETS AND SYSTEMS, 1997, 91 (01) : 95 - 98
  • [6] On Choquet-Pettis Expectation of Banach-Valued Functions: A Counter Example
    Agahi, Hamzeh
    Mesiar, Radko
    [J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2018, 26 (02) : 255 - 259
  • [7] Some properties and convergence theorems of set-valued Choquet integrals
    Wang, Hongxia
    Li, Shoumei
    [J]. FUZZY SETS AND SYSTEMS, 2013, 219 : 81 - 97
  • [8] On the representation of Choquet integrals of set-valued functions, and null sets
    Jang, LC
    Kwon, JS
    [J]. FUZZY SETS AND SYSTEMS, 2000, 112 (02) : 233 - 239
  • [9] CONVERGENCE THEOREMS FOR THE CHOQUET-PETTIS INTEGRAL
    Park, Chun-Kee
    [J]. KOREAN JOURNAL OF MATHEMATICS, 2014, 22 (02): : 383 - 393
  • [10] SET-VALUED MEASURES AND SET-VALUED INTEGRALS
    BYRNE, CL
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (06): : A588 - A588
12345