On Jensen-Type and Holder-Type, Inequality for Interval-Valued Choquet Integrals

被引:2
|
作者
Jang, Lee-Chae [1 ]
Lee, Jeong Gon [2 ,3 ]
Kim, Hyun-Mee [4 ]
机构
[1] Konkuk Univ, Grad Sch Educ, Chungju, South Korea
[2] Wonkwang Univ, Div Math & Informat Stat, Iksan, South Korea
[3] Wonkwang Univ, Nanoscale Sci & Technol Inst, Iksan, South Korea
[4] Kookmin Univ, Grad Sch Educ, Seoul, South Korea
关键词
Choquet integral; Jensen-type and Holder-type inequality; Interval-valued function;
D O I
10.5391/IJFIS.2018.18.2.97
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Wang (Journal of Applied Mathematics and Computing, vol. 35, no. 1-2, pp. 305-321, 2011) studied Jensen-type and Holder-type inequality for Choquet integral. In this paper, we consider the interval-valued Choquet integral with respect to a fuzzy measure and investigate Jensen-type and Holder-type inequality for interval-valued Choquet integrals.
引用
收藏
页码:97 / 102
页数:6
相关论文
共 50 条
  • [31] Hermite-Hadamard and Jensen-Type Inequalities for Harmonical (h1, h2)-Godunova-Levin Interval-Valued Functions
    Afzal, Waqar
    Lupas, Alina Alb
    Shabbir, Khurram
    MATHEMATICS, 2022, 10 (16)
  • [32] JENSEN-TYPE INEQUALITIES AND THEIR APPLICATIONS
    Dinh Thanh Duc
    Nguyen Ngoc Hue
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (02): : 319 - 327
  • [33] SPACES OF CONTINUOUS HOLDER-TYPE FUNCTIONS
    VODOPYANOV, VV
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1986, (11): : 69 - 71
  • [34] A variant of Jensen-type inequality and related results for harmonic convex functions
    Baloch, Imran Abbas
    Mughal, Aqeel Ahmad
    Chu, Yu-Ming
    Ul Haq, Absar
    De La Sen, Manuel
    AIMS MATHEMATICS, 2020, 5 (06): : 6404 - 6418
  • [35] The interval-valued Choquet-Sugeno-like operator as a tool for aggregation of interval-valued functions
    Boczek, Michal
    Jin, LeSheng
    Kaluszka, Marek
    FUZZY SETS AND SYSTEMS, 2022, 448 : 35 - 48
  • [36] Jensen type inequality for the bipolar pseudo-integrals
    Todorov, Milos
    Strboja, Mirjana
    Pap, Endre
    Mihailovic, Biljana
    FUZZY SETS AND SYSTEMS, 2020, 379 (379) : 82 - 101
  • [37] A new variant of Jensen inclusion and Hermite-Hadamard type inclusions for interval-valued functions
    Sitthiwirattham, Thanin
    Sial, Ifra Bashir
    Ali, Muhammad Aamir
    Budak, Huseyin
    Reunsumrit, Jiraporn
    FILOMAT, 2023, 37 (17) : 5553 - 5565
  • [38] New Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functions
    Dafang Zhao
    Tianqing An
    Guoju Ye
    Wei Liu
    Journal of Inequalities and Applications, 2018
  • [39] New Jensen-Type Inequalities and their Applications
    Light, Bar
    JOURNAL OF CONVEX ANALYSIS, 2022, 29 (02) : 605 - 622
  • [40] Some properties of the interval-valued g¯-integrals and a standard interval-valued g¯-convolution
    Lee-Chae Jang
    Journal of Inequalities and Applications, 2014