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Sandor Type Inequalities for Sugeno Integral Based on s-Convex Function in the Second Sense

Received: 1 March 2018     Accepted: 27 March 2018     Published: 4 May 2018
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Abstract

Integral inequalities play important roles in the fields of measure theory, probability theory and control theory. The aim of this paper is to develop some fuzzy integral inequalities. Sugeno integral is one of the most important fuzzy integrals, which has many applications in various fields. This paper constructs some new Sandor type inequalities for the Sugeno integral based on s-convex function in the second sense. Numerical examples are used to illustrate the effectiveness and practicality of the new inequalities.

Published in Mathematics Letters (Volume 4, Issue 1)
DOI 10.11648/j.ml.20180401.13
Page(s) 14-19
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Fuzzy Integral, Sugeno Integral, Sandor Inequality, s-Convex Function

References
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Cite This Article
  • APA Style

    Lanping Li. (2018). Sandor Type Inequalities for Sugeno Integral Based on s-Convex Function in the Second Sense. Mathematics Letters, 4(1), 14-19. https://doi.org/10.11648/j.ml.20180401.13

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    ACS Style

    Lanping Li. Sandor Type Inequalities for Sugeno Integral Based on s-Convex Function in the Second Sense. Math. Lett. 2018, 4(1), 14-19. doi: 10.11648/j.ml.20180401.13

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    AMA Style

    Lanping Li. Sandor Type Inequalities for Sugeno Integral Based on s-Convex Function in the Second Sense. Math Lett. 2018;4(1):14-19. doi: 10.11648/j.ml.20180401.13

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  • @article{10.11648/j.ml.20180401.13,
      author = {Lanping Li},
      title = {Sandor Type Inequalities for Sugeno Integral Based on s-Convex Function in the Second Sense},
      journal = {Mathematics Letters},
      volume = {4},
      number = {1},
      pages = {14-19},
      doi = {10.11648/j.ml.20180401.13},
      url = {https://doi.org/10.11648/j.ml.20180401.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ml.20180401.13},
      abstract = {Integral inequalities play important roles in the fields of measure theory, probability theory and control theory. The aim of this paper is to develop some fuzzy integral inequalities. Sugeno integral is one of the most important fuzzy integrals, which has many applications in various fields. This paper constructs some new Sandor type inequalities for the Sugeno integral based on s-convex function in the second sense. Numerical examples are used to illustrate the effectiveness and practicality of the new inequalities.},
     year = {2018}
    }
    

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  • TY  - JOUR
    T1  - Sandor Type Inequalities for Sugeno Integral Based on s-Convex Function in the Second Sense
    AU  - Lanping Li
    Y1  - 2018/05/04
    PY  - 2018
    N1  - https://doi.org/10.11648/j.ml.20180401.13
    DO  - 10.11648/j.ml.20180401.13
    T2  - Mathematics Letters
    JF  - Mathematics Letters
    JO  - Mathematics Letters
    SP  - 14
    EP  - 19
    PB  - Science Publishing Group
    SN  - 2575-5056
    UR  - https://doi.org/10.11648/j.ml.20180401.13
    AB  - Integral inequalities play important roles in the fields of measure theory, probability theory and control theory. The aim of this paper is to develop some fuzzy integral inequalities. Sugeno integral is one of the most important fuzzy integrals, which has many applications in various fields. This paper constructs some new Sandor type inequalities for the Sugeno integral based on s-convex function in the second sense. Numerical examples are used to illustrate the effectiveness and practicality of the new inequalities.
    VL  - 4
    IS  - 1
    ER  - 

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Author Information
  • School of Mathematics and Statistics, Hunan University of Finance and Economics, Changsha, China

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