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
  • [1] Regular non-additive measure and Choquet integral
    Narukawa, Y
    Murofushi, T
    FUZZY SETS AND SYSTEMS, 2004, 143 (03) : 487 - 492
  • [3] Knapsack problems with dependencies through non-additive measures and Choquet integral
    Beliakov, Gleb
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2022, 301 (01) : 277 - 286
  • [4] Non-additive robust ordinal regression with Choquet integral, bipolar and level dependent Choquet integrals
    Angilella, Silvia
    Greco, Salvatore
    Matarazzo, Benedetto
    PROCEEDINGS OF THE JOINT 2009 INTERNATIONAL FUZZY SYSTEMS ASSOCIATION WORLD CONGRESS AND 2009 EUROPEAN SOCIETY OF FUZZY LOGIC AND TECHNOLOGY CONFERENCE, 2009, : 1194 - 1199
  • [5] The Choquet integral with respect to λ-measure based on γ-support
    Liu, Hsiang-Chuan
    Tu, Yu-Chieh
    Chen, Chin-Chun
    Weng, Wei-Sheng
    PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7, 2008, : 3602 - +
  • [6] A modified Kullback-Leibler divergence for non-additive measures based on Choquet integral
    Agahi, Hamzeh
    FUZZY SETS AND SYSTEMS, 2019, 367 : 107 - 117
  • [7] A NEW MULTI-CRITERIA EVALUATION MODEL BASED ON THE COMBINATION OF NON-ADDITIVE FUZZY AHP, CHOQUET INTEGRAL AND SUGENO λ-MEASURE
    Nadi, S.
    Samiei, M.
    Salari, H. R.
    Karami, N.
    ISPRS INTERNATIONAL JOINT CONFERENCES OF THE 2ND GEOSPATIAL INFORMATION RESEARCH (GI RESEARCH 2017); THE 4TH SENSORS AND MODELS IN PHOTOGRAMMETRY AND REMOTE SENSING (SMPR 2017); THE 6TH EARTH OBSERVATION OF ENVIRONMENTAL CHANGES (EOEC 2017), 2017, 42-4 (W4): : 423 - 428
  • [8] On Regularity for Non-additive Measure
    Watanabe, Toshikazu
    Tanaka, Tamaki
    NONLINEAR MATHEMATICS FOR UNCERTAINTY AND ITS APPLICATIONS, 2011, 100 : 69 - 75
  • [9] A Non-Additive Measure of Uncertainty
    Shackle, G. L. S.
    REVIEW OF ECONOMIC STUDIES, 1949, 17 : 70 - 74
  • [10] Choquet Integral with Respect to Sigma-Fuzzy Measure
    Liu, Hsiang-Chuan
    Wu, Der-Bang
    Jheng, Yu-Du
    Chen, Chin-Chun
    Chien, Maw-Fa
    Sheu, Tian-Wei
    2009 IEEE INTERNATIONAL CONFERENCE ON MECHATRONICS AND AUTOMATION, VOLS 1-7, CONFERENCE PROCEEDINGS, 2009, : 1223 - +