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A generalization of the Chebyshev type inequalities for Sugeno integrals

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Abstract

In this paper, we give a generalization of the Chebyshev type inequalities for Sugeno integral with respect to non-additive measures. The main results of this paper generalize most of the inequalities for Sugeno integral obtained by many researchers. Also, some conclusions are drawn and some problems for further investigations are given.

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Acknowledgments

The work on this paper was partially supported by the Fuzzy Systems and Applications Center of Excellence, Shahid Bahonar University of Kerman, Kerman, Iran. Our thanks go to anonymous referees who helped to improve the original version of our paper.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran

    Hamzeh Agahi, Adel Mohammadpour & S. Mansour Vaezpour

  2. Statistical Research and Training Center (SRTC), Tehran, Iran

    Hamzeh Agahi

Authors
  1. Hamzeh Agahi
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  2. Adel Mohammadpour
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  3. S. Mansour Vaezpour
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Correspondence to Adel Mohammadpour.

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Agahi, H., Mohammadpour, A. & Vaezpour, S.M. A generalization of the Chebyshev type inequalities for Sugeno integrals. Soft Comput 16, 659–666 (2012). https://doi.org/10.1007/s00500-011-0764-6

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  • DOI: https://doi.org/10.1007/s00500-011-0764-6

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