On Fritz–Carlson Type Inequality for Sugeno Integral Without Comonotonicity Condition
Fritz–Carlson’s inequality for Sugeno integral, requiring the comonotonicity condition, has been discussed by numerous authors. In this paper, we propose a new version of Fritz–Carlson’s inequality without the comonotonicity condition for Sugeno integral. We also obtain two new extensions of this inequality without boundary condition for Sugeno integral which generalize the corresponding ones in the literature.
Keywords: Monotone measure, Fritz-Carlson’s inequality, Sugeno integral.