## The fuzzy integral for monotone functions.(English)Zbl 1116.26024

Optimal upper bounds for the Sugeno integral of monotone functions are studied. These are based on the Young’s inequality for increasing functions, which does not hold for the Sugeno integral, but the respective optimal bounds for this integral are given. It is also shown how these results can be used for solving fuzzy integrals for some classes of monotone functions.

### MSC:

 2.6e+51 Fuzzy real analysis

### Keywords:

Sugeno integral; fuzzy measure; Young’s inequality
Full Text:

### References:

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