Jensen Type Inequality for the Bipolar Shilkret, Sugeno and Choquet Integrals

被引：0

作者：

Mihailovic, Biljana ^{[1
]}

Strbojab, Mirjana ^{[2
]}

Todorovc, Milos ^{[1
]}

机构：

[1] Univ Novi Sad, Fac Tech Sci, Trg Dositeja Obradovica 6, Novi Sad 21000, Serbia

[2] Univ Novi Sad, Fac Sci, Dept Math & Informat, Trg Dositeja Obradovica 4, Novi Sad 21000, Serbia

来源：

ACTA POLYTECHNICA HUNGARICA | 2021年 / 18卷 / 10期

关键词：

bi-capacity; bipolar Choquet integral; bipolar Shilkret integral; bipolar Sugeno integral; Jensen's inequality; BI-CAPACITIES;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper we prove the Jensen type inequality for the discrete bipolar Shilkret and Sugeno integrals. We propose the conditions for the validity of this type inequality for the discrete bipolar Choquet integral. In order to illustrate the obtained results, some examples are given.

引用

页码：9 / +

页数：17

共 31 条

[1] Jensen-type inequalities for Sugeno integral [J].

Abbaszadeh, Sadegh ;

Gordji, Madjid Eshaghi ;

Pap, Endre ;

Szakal, Aniko .

INFORMATION SCIENCES, 2017, 376 :148-157

[2] Generalized expectation with general kernels on g-semirings and its applications [J].

Agahi, Hamzeh ;

Mesiar, Radko ;

Babakhani, Azizollah .

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2017, 111 (03) :863-875

[3]

[Anonymous], 1974, Dr. Thesis Tokyo Inst. Technol.

[4]

[Anonymous], 1995, Null -additive set functions

[5]

[Anonymous], 1919, J. Inst. Actuaries, DOI DOI 10.1017/S0020268100028687

[6]

[Anonymous], 1994, Theory and Decision Library

[7]

[Anonymous], 2002, EUROFUSE WORKSH INF

[8]

Bullen PS, 2009, MATH BOHEM, V134, P427

[9]

Choquet G., 1954, Ann. l' Inst. Fourier, V5, P131, DOI DOI 10.5802/AIF.53

[10]

Grabisch M, 2016, THEORY DECIS SER C G, V46, P1, DOI 10.1007/978-3-319-30690-2

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