On the Chebyshev type inequality for seminormed fuzzy integral

doi:10.1016/j.aml.2009.06.024

Applied Mathematics Letters

Volume 22, Issue 12, December 2009, Pages 1810-1815

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Abstract

The Chebyshev type inequality for seminormed fuzzy integral is discussed. The main results of this paper generalize some previous results obtained by the authors. We also investigate the properties of semiconormed fuzzy integral, and a related inequality for this type of integral is obtained.

Keywords

Nonadditive measure

Seminormed fuzzy integral

Semiconormed integral

The Chebyshev inequality

Comonotone