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
来源：
INTERNATIONAL JOURNAL OF FUZZY LOGIC AND INTELLIGENT SYSTEMS | 2018年 / 18卷 / 02期
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
  • [41] Chebyshev type inequalities for interval-valued functions
    Zhao, Dafang
    An, Tianqing
    Ye, Guoju
    Liu, Wei
    FUZZY SETS AND SYSTEMS, 2020, 396 (396) : 82 - 101
  • [42] Jensen-type inequalities for Sugeno integral
    Abbaszadeh, Sadegh
    Gordji, Madjid Eshaghi
    Pap, Endre
    Szakal, Aniko
    INFORMATION SCIENCES, 2017, 376 : 148 - 157
  • [43] The Interval-Valued Choquet Integral Based on Admissible Permutations
    Paternain, Daniel
    De Miguel, Laura
    Ochoa, Gustavo
    Lizasoain, Inmaculada
    Mesiar, Radko
    Bustince, Humberto
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2019, 27 (08) : 1638 - 1647
  • [44] HOLDER-TYPE INEQUALITIES FOR QUASIARITHMETIC MEANS
    PALES, Z
    ACTA MATHEMATICA HUNGARICA, 1986, 47 (3-4) : 395 - 399
  • [45] Holder-type inequalities of measurable operators
    Turdebek N. Bekjan
    Myrzagali N. Ospanov
    Positivity, 2017, 21 : 113 - 126
  • [46] JENSEN-TYPE INEQUALITIES IN TERMS OF LIPSCHITZIANITY
    Bosnjak, Marija
    Krnic, Mario
    Moradi, Hamid reza
    Sababheh, Mohammad
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2024, 27 (02): : 471 - 487
  • [47] Interval-valued intuitionistic fuzzy choquet integral operator
    Wei, Guiwu
    Journal of Information and Computational Science, 2008, 5 (06): : 2545 - 2552
  • [48] Holder-type inequalities of measurable operators
    Bekjan, Turdebek N.
    Ospanov, Myrzagali N.
    POSITIVITY, 2017, 21 (01) : 113 - 126
  • [49] FURTHER RESULTS ON JENSEN-TYPE INEQUALITIES
    Moosavi, B.
    Moradi, H. R.
    Hosseini, M. Shah
    PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2019, 8 (03): : 112 - 124
  • [50] Holder-type inequalities for the polygamma functions
    Alzer, Horst
    ANALYSIS AND APPLICATIONS, 2008, 6 (02) : 113 - 119
12345