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Jensen Inequality with Subdifferential for Sugeno Integral

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Advances in Soft Computing (MICAI 2016)

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Abstract

The classical Jensen inequality for concave function \(\varphi \) is adapted for the Sugeno integral using the notion of the subdifferential. Some examples in the framework of the Lebesgue measure to illustrate the results are presented.

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Acknowledgement

This research for the second author was supported by the grant MNPRS174009.

Author information

Authors and Affiliations

  1. Óbuda University, Becsi út 96/B, Budapest, H-1034, Hungary

    Anikó Szakál, Endre Pap & Sadegh Abbaszadeh

  2. Singidunum University, Danijelova 29, 11000, Belgrade, Serbia

    Anikó Szakál, Endre Pap & Sadegh Abbaszadeh

  3. Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, 35195-363, Semnan, Iran

    Anikó Szakál, Endre Pap & Sadegh Abbaszadeh

  4. Intelligent Systems and Perception Recognition Laboratory, CS Group of Mathematics Department, Shahid Beheshti University, Tehran, Iran

    Anikó Szakál, Endre Pap & Sadegh Abbaszadeh

  5. Institute for Cognitive and Brain Science, Shahid Beheshti University, Tehran, Iran

    Madjid Eshaghi Gordji

Authors
  1. Anikó Szakál
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  2. Endre Pap
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  3. Sadegh Abbaszadeh
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  4. Madjid Eshaghi Gordji
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Corresponding author

Correspondence to Anikó Szakál .

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Editors and Affiliations

  1. Instituto Politécnico Nacional, Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, México DF, Mexico

    Obdulia Pichardo-Lagunas

  2. INFOTEC Aguascalientes, Aguascalientes, Mexico

    Sabino Miranda-Jiménez

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Szakál, A., Pap, E., Abbaszadeh, S., Gordji, M.E. (2017). Jensen Inequality with Subdifferential for Sugeno Integral. In: Pichardo-Lagunas, O., Miranda-Jiménez, S. (eds) Advances in Soft Computing. MICAI 2016. Lecture Notes in Computer Science(), vol 10062. Springer, Cham. https://doi.org/10.1007/978-3-319-62428-0_16

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  • DOI: https://doi.org/10.1007/978-3-319-62428-0_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-62427-3

  • Online ISBN: 978-3-319-62428-0

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