Jensen-type inequalities for Sugeno integral
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- 作者：Sadegh Abbaszadeha ; abbaszadeh@semnan.ac.ir" class="auth_mail" title="E-mail the corresponding author ; Madjid Eshaghi Gordjia ; 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 ; lc ; 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.,
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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.class="mathml">class="mathmlsrc">he MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0020025516311537&_mathId=si1.gif&_user=111111111&_pii=S0020025516311537&_rdoc=1&_issn=00200255&md5=a4367ff3a6486d25a4c96a42c7650173">![]()
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