Integral inequalities have important applications in propability and engineering field. Sugeno integral is an important fuzzy integral in fuzzy theory, which has many applications in various fields. The object of this paper is to develop some new integral inequalities for Sugeno integral. Based on classical Hermite-Hadamard type inequality, this paper intends to extend it for the Sugeno integral. Some new Hermite-Hadamard type inequalities are derived for Sugeno integral based on s-convex function in the second sense. An example is used to illustrate the effectiveness of the new inequalities.
| Published in | Mathematics Letters (Volume 3, Issue 6) |
| DOI | 10.11648/j.ml.20170306.14 |
| Page(s) | 77-82 |
| 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. |
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Copyright © The Author(s), 2017. Published by Science Publishing Group |
Fuzzy Integral, Sugeno Integral, Herimite-Hadamard Inequality, s-Convex Function
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APA Style
Lanping Li. (2017). Hermite-Hadamard Type Fuzzy Inequalities based on s-Convex Function in the Second Sense. Mathematics Letters, 3(6), 77-82. https://doi.org/10.11648/j.ml.20170306.14
ACS Style
Lanping Li. Hermite-Hadamard Type Fuzzy Inequalities based on s-Convex Function in the Second Sense. Math. Lett. 2017, 3(6), 77-82. doi: 10.11648/j.ml.20170306.14
AMA Style
Lanping Li. Hermite-Hadamard Type Fuzzy Inequalities based on s-Convex Function in the Second Sense. Math Lett. 2017;3(6):77-82. doi: 10.11648/j.ml.20170306.14
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Download@article{10.11648/j.ml.20170306.14,
author = {Lanping Li},
title = {Hermite-Hadamard Type Fuzzy Inequalities based on s-Convex Function in the Second Sense},
journal = {Mathematics Letters},
volume = {3},
number = {6},
pages = {77-82},
doi = {10.11648/j.ml.20170306.14},
url = {https://doi.org/10.11648/j.ml.20170306.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ml.20170306.14},
abstract = {Integral inequalities have important applications in propability and engineering field. Sugeno integral is an important fuzzy integral in fuzzy theory, which has many applications in various fields. The object of this paper is to develop some new integral inequalities for Sugeno integral. Based on classical Hermite-Hadamard type inequality, this paper intends to extend it for the Sugeno integral. Some new Hermite-Hadamard type inequalities are derived for Sugeno integral based on s-convex function in the second sense. An example is used to illustrate the effectiveness of the new inequalities.},
year = {2017}
}
TY - JOUR T1 - Hermite-Hadamard Type Fuzzy Inequalities based on s-Convex Function in the Second Sense AU - Lanping Li Y1 - 2017/12/05 PY - 2017 N1 - https://doi.org/10.11648/j.ml.20170306.14 DO - 10.11648/j.ml.20170306.14 T2 - Mathematics Letters JF - Mathematics Letters JO - Mathematics Letters SP - 77 EP - 82 PB - Science Publishing Group SN - 2575-5056 UR - https://doi.org/10.11648/j.ml.20170306.14 AB - Integral inequalities have important applications in propability and engineering field. Sugeno integral is an important fuzzy integral in fuzzy theory, which has many applications in various fields. The object of this paper is to develop some new integral inequalities for Sugeno integral. Based on classical Hermite-Hadamard type inequality, this paper intends to extend it for the Sugeno integral. Some new Hermite-Hadamard type inequalities are derived for Sugeno integral based on s-convex function in the second sense. An example is used to illustrate the effectiveness of the new inequalities. VL - 3 IS - 6 ER -
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