Chebyshev type inequalities for two classes of pseudo-integrals are shown. One of them concerning the pseudo-integrals based on a function reduces on the g-integral where pseudo-operations are defined by a monotone and continuous function g. Another one concerns the pseudo-integrals based on a semir
On the Chebyshev type inequality for seminormed fuzzy integral
โ Scribed by Yao Ouyang; Radko Mesiar
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 408 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
The Chebyshev type inequality for seminormed fuzzy integral is discussed. The main results of this paper generalize some previous results obtained by the authors. We also investigate the properties of semiconormed fuzzy integral, and a related inequality for this type of integral is obtained.
๐ SIMILAR VOLUMES
Using the restriction of the q-integral over [a, b] to a finite sum and q-integral of Riemann-type, we establish new integral inequalities of q-Chebyshev type, q-Grรผss type, q-Hermite-Hadamard type and Cauchy-Buniakowsky type. Some inequalities which include the boundaries of functions are also indi