The Sugeno fuzzy integral of log-convex functions

被引:0
|
作者
Sadegh Abbaszadeh
Madjid Eshaghi
Manuel de la Sen
机构
[1] Faculty of Mathematics,Department of Mathematics
[2] Statistics and Computer Sciences,Center of Excellence in Nonlinear Analysis and Applications
[3] Semnan University,Department of Electricity and Electronics
[4] Semnan University,undefined
[5] University of the Basque Country,undefined
关键词
Sugeno fuzzy integral; the Hadamard inequality; log-convex function; seminormed Sugeno fuzzy integral; 26A51; 28E10; 39B62;
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摘要
In this paper, we give an upper bound for the Sugeno fuzzy integral of log-convex functions using the classical Hadamard integral inequality. We present a geometric interpretation and some examples in the framework of the Lebesgue measure to illustrate the results.
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