Ostrowski-Sugeno fuzzy inequalities
- George A. Anastassiou ganastss@memphis.edu
Downloads
DOI:
https://doi.org/10.4067/S0719-06462019000300029Abstract
We present Ostrowski-Sugeno fuzzy type inequalities. These are Ostrowski-like inequalities in the context of Sugeno fuzzy integral and its special properties are investigated. Tight upper bounds to the deviation of a function from its Sugeno-fuzzy averages are given. This work is greatly inspired by [3] and [1].
Keywords
[1] G.A. Anastassiou, Ostrowski type inequalities, Proc. Amer. Math. Soc. 123(1995), 3775-3781.
[2] M. Boczek, M. Kaluszka, On the Minkowaki-Holder type inequalities for generalized Sugeno integrals with an application, Kybernetica, 52(3) (2016), 329-347.
[3] A. Ostrowski, Uber die Absolutabweichung einer differentiebaren Funktion von ihrem Integralmittelwert, Comment. Math. Helv., 10 (1938), 226-227.
[4] E. Pap, Null-Additive Set functions, Kluwer Academic, Dordrecht, 1995.
[5] D. Ralescu, G. Adams, The fuzzy integral, J. Math. Anal. Appl., 75 (1980), 562-570.
[6] M. Sugeno, Theory of fuzzy integrals and its applications, PhD thesis, Tokyo Institute of Technology (1974).
[7] Z. Wang, G.J. Klir, Fuzzy Measure Theory, Plenum, New York, 1992.
[2] M. Boczek, M. Kaluszka, On the Minkowaki-Holder type inequalities for generalized Sugeno integrals with an application, Kybernetica, 52(3) (2016), 329-347.
[3] A. Ostrowski, Uber die Absolutabweichung einer differentiebaren Funktion von ihrem Integralmittelwert, Comment. Math. Helv., 10 (1938), 226-227.
[4] E. Pap, Null-Additive Set functions, Kluwer Academic, Dordrecht, 1995.
[5] D. Ralescu, G. Adams, The fuzzy integral, J. Math. Anal. Appl., 75 (1980), 562-570.
[6] M. Sugeno, Theory of fuzzy integrals and its applications, PhD thesis, Tokyo Institute of Technology (1974).
[7] Z. Wang, G.J. Klir, Fuzzy Measure Theory, Plenum, New York, 1992.
Most read articles by the same author(s)
- George A. Anastassiou, Quantitative Approximation by a Kantorovich-Shilkret quasi-interpolation neural network operator , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- George A. Anastassiou, Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators , CUBO, A Mathematical Journal: Vol. 20 No. 1 (2018)
- George A. Anastassiou, Caputo fractional Iyengar type Inequalities , CUBO, A Mathematical Journal: Vol. 21 No. 2 (2019)
- George A. Anastassiou, ð˜²âˆ’ fractional inequalities , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
- George A. Anastassiou, Fractional Voronovskaya type asymptotic expansions for quasi-interpolation neural network operators , CUBO, A Mathematical Journal: Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal
- George A. Anastassiou, Higher order multivariate Fuzzy approximation by basic neural network operators , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
- George A. Anastassiou, Foundations of generalized Prabhakar-Hilfer fractional calculus with applications , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- George A. Anastassiou, Spline left fractional monotone approximation involving left fractional differential operators , CUBO, A Mathematical Journal: Vol. 17 No. 1 (2015): CUBO, A Mathematical Journal
- George A. Anastassiou, Right general fractional monotone approximation , CUBO, A Mathematical Journal: Vol. 17 No. 3 (2015): CUBO, A Mathematical Journal
- George A. Anastassiou, Approximation by discrete singular operators , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
Downloads
Download data is not yet available.
Published
2020-01-10
How to Cite
[1]
G. A. Anastassiou, “Ostrowski-Sugeno fuzzy inequalities”, CUBO, vol. 21, no. 3, pp. 29–38, Jan. 2020.
Issue
Section
Articles