A note on the Chebyshev-type inequality of Sugeno integrals

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摘要

This paper improves on previous work presenting a Chebyshev-type inequality for Sugeno integrals. It derives a new inequality applicable to the Sugeno integrals (S)∫01f,(S)∫01g and (S)∫01fg of real functions f,g on [0, 1]. Examples are given to illustrate the results.

论文关键词：Sugeno integral,Non-additive measure,Lebesgue measure,Monotonic functions,Chebyshev’s inequality

论文评审过程：Available online 14 February 2009.

论文官网地址：https://doi.org/10.1016/j.amc.2009.02.016