An equivalent condition to the Jensen inequality for the generalized Sugeno integral

被引：5

作者：

Jaddi, Mohsen ^{[1
]}

Ebadian, Ali ^{[1
]}

de la Sen, Manuel ^{[2
]}

Abbaszadeh, Sadegh ^{[1
]}

机构：

[1] Payame Noor Univ, Dept Math, Tehran 193954697, Iran

[2] Univ Basque Country, Dept Elect & Elect, Bilbao 46648080, Spain

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年

基金：

美国国家科学基金会;

关键词：

generalized Sugeno integral; convex function; the Jensen inequality; INDUCED AGGREGATION OPERATORS; DECISION-MAKING; FUZZY INTEGRALS; CONTINUITY; DISTANCE;

D O I：

10.1186/s13660-017-1561-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the classical Jensen inequality of convex functions, i.e., H(1/mu(D) integral(D) fd mu) <= 1/mu(D)integral(D) H o f d mu, an equivalent condition is proved in the framework of the generalized Sugeno integral. Also, the necessary and sufficient conditions for the validity of the discrete form of the Jensen inequality for the generalized Sugeno integral are given.

引用

页数：11

共 50 条

[31] A Sugeno integral representation under stone condition
Chateauneuf, A
Rico, A
FUZZY SETS AND SYSTEMS, 2005, 151 (02) : 261 - 267
[32] SHARP LOWER BOUNDS FOR A GENERALIZED JENSEN INEQUALITY
RIGLER, AK
TRIMBLE, SY
VARGA, RS
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1989, 19 (01) : 353 - 373
[33] CONVEXITY, SUBADDITIVITY AND GENERALIZED JENSEN'S INEQUALITY
Abramovich, Shoshana
ANNALS OF FUNCTIONAL ANALYSIS, 2013, 4 (02): : 183 - 194
[34] A MINIMIZATION PROBLEM CONNECTED WITH A GENERALIZED JENSEN INEQUALITY
BEAUZAMY, B
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 145 (01) : 137 - 144
[35] ON GLOBAL BOUNDS FOR GENERALIZED JENSEN'S INEQUALITY
Sandor, Jozsef
ANNALS OF FUNCTIONAL ANALYSIS, 2013, 4 (01): : 18 - 24
[36] A note on a Carlson-type inequality for the Sugeno integral
Xu, Qunfang
Ouyang, Yao
APPLIED MATHEMATICS LETTERS, 2012, 25 (03) : 619 - 623
[37] On Prekopa-Leindler type inequality for Sugeno integral
Boczek, Michal
Hutnik, Ondrej
Kaluszka, Marek
FUZZY SETS AND SYSTEMS, 2022, 430 : 114 - 125
[38] INTEGRAL, DISCRETE AND FUNCTIONAL VARIANTS OF JENSEN'S INEQUALITY
Pavic, Z.
Pecaric, J.
Peric, I.
JOURNAL OF MATHEMATICAL INEQUALITIES, 2011, 5 (02):
[39] Generalization of Jensen Mercer inequality on Delta integral with Applications
Chanan, Sadia
Irshad, Nazia
Khan, Afshan
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 16 (03): : 1448 - 1463
[40] A strengthening of Jensen's inequality for asymmetric Choquet integral
Agahi, Hamzeh
FUZZY SETS AND SYSTEMS, 2024, 483

← 1 2 3 4 5 →