Jensen-type inequalities for Sugeno integral

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• 作者：Sadegh Abbaszadeh^a ; ^{abbaszadeh@semnan.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; Madjid Eshaghi Gordji^a ; ^{meshaghi@semnan.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; Endre Pap ; ^b ; ^c ; ^{pape@eunet.rs" class="auth_mail" title="E-mail the corresponding author} ; ^{epap@singidunum.ac.rs" class="auth_mail" title="E-mail the corresponding author} ; Anikó ; Szaká ; l^c ; ^{szakal@bmf.hu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Sugeno integral ; The Jensen inequality ; Concave function ; Supergradient ; Superdifferential
• 刊名：Information Sciences
• 出版年：2017
• 出版时间：10 January 2017
• 年：2017
• 卷：376
• 期：Complete
• 页码：148-157
• 全文大小：387 K

文摘

In this paper, the classical Jensen inequalities for concave function φ, i.e.,are adapted for the Sugeno integral using the notion of the supergradient. Moreover, we give some modifications of previous results of Román-Flores et al. concerning Jensen-type inequalities for Sugeno integral. Some examples in the framework of the Lebesgue measure and counting measure to illustrate the results are presented.