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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Acknowledgments
This paper was partially supported by the Fuzzy Systems and Applications Center of Excellence, Shahid Bahonar University of Kerman, Kerman, Iran. Our thanks go to anonymous referees who helped to improve the original version of our paper.
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Agahi, H., Eslami, E. A general inequality of Chebyshev type for semi(co)normed fuzzy integrals. Soft Comput 15, 771–780 (2010). https://doi.org/10.1007/s00500-010-0621-z
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DOI: https://doi.org/10.1007/s00500-010-0621-z