Chebyshev type inequality for Choquet integral and comonotonicity
نویسندگان
چکیده
منابع مشابه
Results of the Chebyshev type inequality for Pseudo-integral
In this paper, some results of the Chebyshev type integral inequality for the pseudo-integral are proven. The obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. Finally, we applied our results to the case of comonotone functions.
متن کاملGeneralizations of the Chebyshev-type inequality for Choquet-like expectation
Article history: Received 1 January 2012 Received in revised form 10 July 2012 Accepted 18 February 2013 Available online 26 February 2013
متن کاملresults of the chebyshev type inequality for pseudo-integral
in this paper, some results of the chebyshev type integral inequality for the pseudo-integral are proven. the obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. finally, we applied our results to the case of comonotone functions.
متن کاملResults of the Chebyshev Type Inequality for Pseudo-integral
In this paper, some results of the Chebyshev type integral inequality for the pseudo-integral are proven. The obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. Finally, we applied our results to the case of comonotone functions.
متن کاملExtensions of Chebyshev inequality for fuzzy integral and applications⋆
The theory of fuzzy measures and fuzzy integrals was introduced by Sugeno [24] as a tool for modeling nondeterministic problems. Sugeno’s integral is analogous to Lebesgue integral which has been studied by many authors, including Pap [18], Ralescu and Adams [19] and, Wang and Klir [25], among others. RománFlores et al [9, 20–23], started the studies of inequalities for Sugeno integral, and the...
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ژورنال
عنوان ژورنال: International Journal of Approximate Reasoning
سال: 2011
ISSN: 0888-613X
DOI: 10.1016/j.ijar.2011.06.001