Hölder type inequality for Sugeno integral

Authors:
Limin Wu;Jingbo Sun;Xiqing Ye;Liping Zhu
Affiliations:
Faculty of Science, Huzhou Teacher's College, Huzhou, Zhejiang 313000, People's Republic of China;Faculty of Science, Huzhou Teacher's College, Huzhou, Zhejiang 313000, People's Republic of China;Faculty of Science, Huzhou Teacher's College, Huzhou, Zhejiang 313000, People's Republic of China;Faculty of Science, Huzhou Teacher's College, Huzhou, Zhejiang 313000, People's Republic of China
Venue:
Fuzzy Sets and Systems
Year:
2010

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Abstract

Two inequalities for the Sugeno integral on abstract spaces are studied in rather general forms, which generalize most of the results on the same topic obtained by other authors, thus closing the series of papers on this topic. As an application, a Holder type inequality is obtained. Finally, some conclusions are drawn and some problems for further investigation are suggested.