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.
Highlights
In some practical application problems, the data information sometimes cannot be precisely expressed due to human errors or the limitation of decision maker’s knowledge or other reasons
Lanping Li: Hermite-Hadamard Type Fuzzy Inequalities based on s-Convex Function in the Second Sense
This proves that the Hermite-Hadamard type inequality is not satisfiedfor Sugeno integral based on s-convex functions in the second sense
Summary
In some practical application problems, the data information sometimes cannot be precisely expressed due to human errors or the limitation of decision maker’s knowledge or other reasons. First introduced by Sugeno in 1974, is an important analytical tool to measure uncertain information [13,14,15,16,17,18]. Wang et al [17] established some new Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals via s-convex functions in the second sense. Latif [19] established several new inequalities of the Hermite–Hadamard type for functions whose derivatives are s-convex in the second sense in the absolute value. We will extend the Hermite-Hadamard type inequality for s-convex functions in the second sense for Sugneo integral.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
