Hermite-Hadamard Type Inequality for Log-convex Functions via Sugeno Integrals

TL;DR

This paper establishes Hermite-Hadamard type inequalities for Sugeno integrals involving log-convex functions, expanding the theoretical framework of fuzzy integral inequalities.

Contribution

It introduces new Hermite-Hadamard inequalities specifically for Sugeno integrals with log-convex functions, which was not previously explored.

Findings

Derived new inequalities for Sugeno integrals with log-convex functions

Provided examples illustrating the application of the inequalities

Extended the theoretical understanding of fuzzy integral inequalities

Abstract

In this paper, Hermite-Hadamard type inequality for Sugeno integrals based on log-convex functions is studied. Some examples are given to illustrate the results.