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Article

Sandor Type Fuzzy Inequality Based on the (s,m)-Convex Function in the Second Sense

1
School of Software, Jiangxi University of Science and Technology, Nanchang 330013, China
2
School of Mathematics and Statistics, Central South University, Changsha 410083, China
*
Author to whom correspondence should be addressed.
Symmetry 2017, 9(9), 181; https://doi.org/10.3390/sym9090181
Received: 12 August 2017 / Revised: 29 August 2017 / Accepted: 30 August 2017 / Published: 4 September 2017
(This article belongs to the Special Issue Fuzzy Sets Theory and Its Applications)
Integral inequalities play critical roles in measure theory and probability theory. Given recent profound discoveries in the field of fuzzy set theory, fuzzy inequality has become a hot research topic in recent years. For classical Sandor type inequality, this paper intends to extend the Sugeno integral. Based on the (s,m)-convex function in the second sense, a new Sandor type inequality is proposed for the Sugeno integral. Examples are given to verify the conclusion of this paper. View Full-Text
Keywords: Sandor type inequality; (s,m)-convex function in the second sense; Sugeno integral Sandor type inequality; (s,m)-convex function in the second sense; Sugeno integral
MDPI and ACS Style

Ren, H.; Wang, G.; Luo, L. Sandor Type Fuzzy Inequality Based on the (s,m)-Convex Function in the Second Sense. Symmetry 2017, 9, 181. https://doi.org/10.3390/sym9090181

AMA Style

Ren H, Wang G, Luo L. Sandor Type Fuzzy Inequality Based on the (s,m)-Convex Function in the Second Sense. Symmetry. 2017; 9(9):181. https://doi.org/10.3390/sym9090181

Chicago/Turabian Style

Ren, Haiping, Guofu Wang, and Laijun Luo. 2017. "Sandor Type Fuzzy Inequality Based on the (s,m)-Convex Function in the Second Sense" Symmetry 9, no. 9: 181. https://doi.org/10.3390/sym9090181

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