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- Title
A general inequality of Chebyshev type for semi(co)normed fuzzy integrals.
- Authors
Agahi, Hamzeh; Eslami, Esfandiar
- Abstract
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 Hölder'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.
- Subjects
FUZZY measure theory; CHEBYSHEV systems; FUZZY integrals; MINKOWSKI geometry; NUMERICAL analysis
- Publication
Soft Computing - A Fusion of Foundations, Methodologies & Applications, 2011, Vol 15, Issue 4, p771
- ISSN
1432-7643
- Publication type
Article
- DOI
10.1007/s00500-010-0621-z