A Carleman Type Inequality for Sugeno Integrals

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Abstract:

One of the famous mathematical inequalities is Carlemans inequality. It is an important inequality from both mathematical and application points of view. In this paper, a Carleman type inequality for Sugeno integrals is studied.

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Advanced Materials Research (Volumes 694-697)

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2874-2876

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May 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] M.Sugeno, Theory of fuzzy integrals and its applications, Ph..D. Thesis. Tokyo Institute of Technology,1974.

Google Scholar

[2] Mitrinovic, D.S., Vasic, P.P. Analytic inequalities, Springer-Verlag , 1970.

Google Scholar

[3] D.Ralescu,G.Adams, The fuzzy integral, J. Math.Anal. Appl. 75(1980) 562-570.

Google Scholar

[4] Z.Wang,G. Klir,Fuzzy Measure Theory, Plenum, New York, 1992.

Google Scholar

[5] H.Roman-Flores,A. Flores-Franulic, Y.Chalco-Cano, The fuzzy integral for monotone functions, Appl. Math. Comput. 185(2007) 492-498.

DOI: 10.1016/j.amc.2006.07.066

Google Scholar

[6] H. Roman-Flores, Y. Chalco-Cano, Sugeno integral and geometric inequalities, Int. J. Uncertain. Fuzziness Knowledge-Based Syst.15 (2007) 1-11.

DOI: 10.1142/s0218488507004340

Google Scholar

[7] H. Roman-Flores, A. Flores-Franulic, Y. Chalco-Cano, A Jensen type inequality for fuzzy integrals, Inform. Sci.177 (2007) 3192-3201.

Google Scholar

[8] Hamzeh Agahi , M.A. Yaghoobi ,A Minkowski Type Inequality for Fuzzy Integrals, Journal of Uncertain Systems, 14(2010) 187-194.

Google Scholar