A general inequality of Chebyshev type for semi(co)normed fuzzy integrals

作者：Agahi Hamzeh^*; Eslami Esfandiar

来源：Soft Computing, 2011, 15(4): 771-780.

DOI：10.1007/s00500-010-0621-z

• Fuzzy measure
• Sugeno integral
• Seminormed fuzzy integrals
• Semiconormed fuzzy integrals
• Comonotone functions
• Chebyshev's inequality
• Holder's inequality
• Minkowski's inequality

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 Holder'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.

• 出版日期2011-4