Choquet integral with respect to a regular non-additive measure

被引:0
|
作者
Narukawa, Y [1 ]
Murofushi, T [1 ]
机构
[1] Tohogakuen, Tokyo 1860004, Japan
关键词
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
In this paper. some properties of two types of regular non-additive measure are studied. The various regularities are arranged and their correlation is clarified. The properties reflected by the Choquet integral with respect to a regular fuzzy measure are stated. The representation theorem of some functional and the approximation theorem of Choquet integral of integrable function are presented.
引用
收藏
页码:517 / 521
页数:5
相关论文
共 50 条
  • [31] A version of lebesgue decomposition theorem for non-additive measure
    Li, Jun
    Yasuda, Masami
    Li, Jianzeng
    MODELING DECISIONS FOR ARTIFICIAL INTELLIGENCE, PROCEEDINGS, 2007, 4617 : 168 - +
  • [32] Choquet integrals with respect to the credibility measure
    Du, Wen Sheng
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 39 (01) : 107 - 118
  • [33] Importance-Performance Analysis Based on Choquet Integral with Respect to L-Measure
    Lee, Shu-Juan
    Liu, Hsiang-Chuan
    Chen, Shih-Ming
    Jheng, Yu-Du
    FRONTIERS OF MANUFACTURING AND DESIGN SCIENCE, PTS 1-4, 2011, 44-47 : 3844 - +
  • [34] COMBINED MULTIPLE SVM CLASSIFIERS BASED ON CHOQUET INTEGRAL WITH RESPECT TO L-MEASURE
    Lin, Wen-Chih
    Huang, Chih-Sheng
    Huang, Wen-Chun
    PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-6, 2009, : 3188 - +
  • [35] New Conditions for the Egoroff Theorem in Non-additive Measure Theory
    Takahashi, Masayuki
    Murofushi, Toshiaki
    INTEGRATED UNCERTAINTY MANAGEMENT AND APPLICATIONS, 2010, 68 : 83 - +
  • [36] Conditions for Egoroff's theorem in non-additive measure theory
    Murofushi, T
    Uchino, K
    Asahina, S
    FUZZY SETS AND SYSTEMS, 2004, 146 (01) : 135 - 146
  • [37] An optimization-based classification approach with the non-additive measure
    Yan, Nian
    Chen, Zhengxin
    Liu, Rong
    Shi, Yong
    COMPUTATIONAL SCIENCE - ICCS 2008, PT 2, 2008, 5102 : 450 - +
  • [38] Egoroff's theorem on monotone non-additive measure spaces
    Li, J
    Yasuda, M
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2004, 12 (01) : 61 - 68
  • [39] Multiple Criteria Nonlinear Programming Classification with the Non-additive Measure
    Yan, Nian
    Shi, Yong
    Chen, Zhengxin
    MULTIPLE CRITERIA DECISION MAKING FOR SUSTAINABLE ENERGY AND TRANSPORTATION SYSTEMS: PROCEEDINGS OF THE 19TH INTERNATIONAL CONFERENCE ON MULTIPLE CRITERIA DECISION MAKING, 2010, 634 : 289 - 297
  • [40] Existence and uniqueness of solutions of differential equations with respect to non-additive measures
    Negi, Shekhar Singh
    Torra, Vicenc
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (02) : 2174 - 2196