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

Lanping Li

doi:doi:10.11648/j.ml.20180401.13

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

Lanping Li

Published in Mathematics Letters (Volume 4, Issue 1)

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

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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

Lanping Li

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

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Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

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

Copy | Download

@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}
}

Copy | Download

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  -

Copy | Download