Bellman Type Inequality for Sugeno Integrals

Abstract

In this paper, we prove Bellman type inequality for Sugeno integral and generalize it for pseudo-integrals. Furthermore, we generalize the Bellman's inequality in abstract spaces. The strengthened version of this inequality is demonstrated in pseudo-integrals and abstract spaces. Also, we illustrate theorems with some examples.

Keywords

• bellman type inequality
• sugeno integral
• pseudo-integral
• fuzzy integral inequality