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General results of Stolarsky's inequality for Sugeno integrals

Keywords: Sugeno integral , Fuzzy measure , Stolarsky’s inequality

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Abstract:

In this paper, general result of Stolarsky’s inequality for Sugeno integrals is shown. Previous results of Hamzeh Agahi, Mohamad Ghezelayagh [H. Agahi, M. Ghezelayagh, Several integral inequalities for the Sugeno integral, International Journal of Applied Mathematics of Computation Volume 1(1), pp 47-58, 2009] are generalized. To illustrate the proposed inequalities some examples are given.

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