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

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