General Chebyshev type inequalities for universal integral

Authors:
Hamzeh Agahi;Radko Mesiar;Yao Ouyang;Endre Pap;Mirjana Strboja
Affiliations:
Department of Statistics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Ave., Tehran 15914, Iran and Statistical Research and Tra ...;Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, SK-81368 Bratislava, Slovakia and Institute of Information Theory and Automation, ...;Faculty of Science, Huzhou Teacher's College, Huzhou, Zhejiang 313000, People's Republic of China;Department of Mathematics and Informatics, Faculty of Sciences and Mathematics, University of Novi Sad, Trg Dositeja Obradovica 4, 21000 Novi Sad, Serbia and íbuda University, Becsi út 9 ...;Department of Mathematics and Informatics, Faculty of Sciences and Mathematics, University of Novi Sad, Trg Dositeja Obradovica 4, 21000 Novi Sad, Serbia
Venue:
Information Sciences: an International Journal
Year:
2012

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Abstract

A new inequality for the universal integral on abstract spaces is obtained in a rather general form. As two corollaries, Minkowski's and Chebyshev's type inequalities for the universal integral are obtained. The main results of this paper generalize some previous results obtained for special fuzzy integrals, e.g., Choquet and Sugeno integrals. Furthermore, related inequalities for seminormed integral are obtained.