ON SET-VALUED FUZZY INTEGRALS

被引:31
|
作者
ZHANG, DL
WANG, ZX
机构
[1] Department of Mathematics, Jilin Prov. Inst. of Education, Changchun
关键词
FUZZY INTEGRAL; SET-VALUED FUNCTION; SET-VALUED FUZZY INTEGRAL;
D O I
10.1016/0165-0114(93)90149-C
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In the paper, we extend fuzzy integrals of point-valued functions which were defined by Ralescu and Adams to set-valued functions. Some properties similar to Auman integrals are shown, and these include convexity, monotonicity, Fatou's lemma, Lebesgue convergence theorem, etc.
引用
收藏
页码:237 / 241
页数:5
相关论文
共 50 条
  • [1] Fuzzy integrals for set-valued mappings
    Cho, SJ
    Lee, BS
    Lee, GM
    Kim, DS
    [J]. FUZZY SETS AND SYSTEMS, 2001, 117 (03) : 333 - 337
  • [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] FUZZY INTEGRALS OF SET-VALUED MAPPINGS AND FUZZY MAPPINGS
    ZHANG, D
    GUO, CM
    [J]. FUZZY SETS AND SYSTEMS, 1995, 75 (01) : 103 - 109
  • [4] GENERALIZED FUZZY INTEGRALS OF SET-VALUED FUNCTIONS
    ZHANG, D
    GUO, C
    [J]. FUZZY SETS AND SYSTEMS, 1995, 76 (03) : 365 - 373
  • [5] SET-VALUED MEASURES AND SET-VALUED INTEGRALS
    BYRNE, CL
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (06): : A588 - A588
  • [6] Stochastic integrals of set-valued processes and fuzzy processes
    Kim, BK
    Kim, JH
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 236 (02) : 480 - 502
  • [7] Generalized Complex Fuzzy Set-valued Integrals and Their Properties
    Ma, Shengquan
    Peng, Dejun
    Zhao, Zhiqing
    [J]. 2016 12TH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY (ICNC-FSKD), 2016, : 906 - 910
  • [8] On set-valued stochastic integrals and fuzzy stochastic equations
    Michta, Mariusz
    [J]. FUZZY SETS AND SYSTEMS, 2011, 177 (01) : 1 - 19
  • [9] On set-valued stochastic integrals
    Jung, EJ
    Kim, JH
    [J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 2003, 21 (02) : 401 - 418
  • [10] INTEGRALS OF SET-VALUED FUNCTIONS
    AUMANN, RJ
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1965, 12 (01) : 1 - &