A general inequality of Chebyshev type for semi(co)normed fuzzy integrals |
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| Authors: | Hamzeh Agahi Esfandiar Eslami |
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| Affiliation: | (1) Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran;(2) Department of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, Iran |
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| Abstract: | Generalization of the Chebyshev inequality for semi(co)normed fuzzy integrals on an abstract fuzzy measure space based on a binary operation is given. Also, Minkowski’s and Hölder’s inequalities for semi(co)normed fuzzy integrals are studied in a rather general form. The main results of this paper generalize some previous results. Finally, a conclusion is drawn and an open problem for further investigations is given. |
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