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Title: | Chebyshev inequality for Sugeno integrals | Authors: | Caballero, J. Sadarangani, K. |
UNESCO Clasification: | 120217 Medida, integración, área 1202 Análisis y análisis funcional |
Keywords: | Chebyshev inequality Sugeno integral Comonotone functions |
Issue Date: | 2010 | Project: | Analisis No Lineal y Aplicaciones. | Journal: | Fuzzy Sets and Systems | Abstract: | In this paper we study Chebyshev inequality for Sugeno integrals on an arbitrary fuzzy measure space. Particularly, we obtain other Chebyshev type inequalities which relate the measure of a level set of the maximum and the sum of two non-negative integrable functions and their integrals. Finally, we apply our results to the case of comonotone functions | URI: | http://hdl.handle.net/10553/46751 | ISSN: | 0165-0114 | DOI: | 10.1016/j.fss.2009.12.006 | Source: | Fuzzy Sets and Systems [ISSN 0165-0114], v. 161 (10), p. 1480-1487 |
Appears in Collections: | Artículos |
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