A Study of Riesz Space-Valued Non-additive Measures

被引：0
|
作者：
Kawabe, Jun [1 ]
机构：
[1] Shinshu Univ, Nagano 3808553, Japan
来源：
INTEGRATED UNCERTAINTY MANAGEMENT AND APPLICATIONS | 2010年 / 68卷
关键词：
FUZZY MEASURE-SPACES; EGOROFFS THEOREM; LUSINS THEOREM; PROPERTY; CONVERGENCE; REGULARITY;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper gives a short survey of our recent developments in Riesz space-valued non-additive measure theory and contains the following topics: the Egoroff theorem, the Lebesgue theorem, the Riesz theorem, the Lusin theorem, and the Alexandroff theorem.
引用
收藏
页码：91 / 102
页数：12
相关论文
共 50 条
  • [21] Ternary Kleenean non-additive measures
    Araki, T
    Mukaidono, M
    Yamamoto, F
    BEYOND TWO: THEORY AND APPLICATIONS OF MULTIPLE-VALUED LOGIC, 2003, 114 : 237 - 250
  • [22] BANACH SPACE-VALUED GLEASON MEASURES ON VONNEUMANN-ALGEBRAS
    LUCZAK, A
    LECTURE NOTES IN MATHEMATICS, 1989, 1391 : 178 - 190
  • [23] The transport problem for non-additive measures
    Torra, Vicenc
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2023, 311 (02) : 679 - 689
  • [24] On the Visualization of Discrete Non-additive Measures
    Bae, Juhee
    Ventocilla, Elio
    Riveiro, Maria
    Torra, Vicenc
    AGGREGATION FUNCTIONS IN THEORY AND IN PRACTICE, 2018, 581 : 200 - 210
  • [25] THE PROPERTIES OF SOME NON-ADDITIVE MEASURES
    HUA, WX
    FUZZY SETS AND SYSTEMS, 1988, 27 (03) : 373 - 377
  • [26] Some aspects of non-additive measures
    Stajner-Papuga, Ivana
    IEEE 13TH INTERNATIONAL SYMPOSIUM ON INTELLIGENT SYSTEMS AND INFORMATICS (SISY), 2015, : 13 - 13
  • [27] Coherent updating of non-additive measures
    Miranda, Enrique
    Montes, Ignacio
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2015, 56 : 159 - 177
  • [28] A Note on Extensions of Non-additive Measures
    Pavel Pták
    Hans Weber
    International Journal of Theoretical Physics, 2021, 60 : 512 - 514
  • [29] Kuelbs-Steadman Spaces for Banach Space-Valued Measures
    Boccuto, Antonio
    Hazarika, Bipan
    Kalita, Hemanta
    MATHEMATICS, 2020, 8 (06)
  • [30] ABSTRACT GENERALIZED KURZWEIL-HENSTOCK-TYPE INTEGRALS FOR RIESZ SPACE-VALUED FUNCTIONS
    Boccuto, A.
    Candeloro, D.
    Riecan, B.
    REAL ANALYSIS EXCHANGE, 2008, 34 (01) : 171 - 194
12345