Fuzzy Chebyshev type inequality

Authors:
Yao Ouyang;Jinxuan Fang;Lishe Wang
Affiliations:
Faculty of Science, Huzhou Teacher's College, Huzhou, Zhejiang 313000, People's Republic of China and Department of Mathematics, Nanjing Normal University, Nanjing, Jiangsu 210097, People's Republ ...;Department of Mathematics, Nanjing Normal University, Nanjing, Jiangsu 210097, People's Republic of China;Faculty of Science, Huzhou Teacher's College, Huzhou, Zhejiang 313000, People's Republic of China
Venue:
International Journal of Approximate Reasoning
Year:
2008

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Abstract

A Chebyshev type inequality for Sugeno integral is shown. Previous results of Flores-Franulic and Roman-Flores [A. Flores-Franulic, H. Roman-Flores, A Chebyshev type inequality for fuzzy integrals, Applied Mathematics and Computation 190 (2007) 1178-1184] are generalized. Several illustrated examples are given. As an application, a fuzzy Stolarsky's inequality is obtained.