Abstract
Here we study quantitatively the approximation of fuzzy numbers by fuzzy approximators generated by the Max-product operators of Bernstein type and Meyer-Köning and Zeller type. It follows Anastassiou, Approximation of Fuzzy Numbers by Max-Product Operators, 2017, [1].
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
G. Anastassiou, Approximation of Fuzzy Numbers by Max-Product Operators (2017, submitted)
B. Bede, L. Coroianu, S. Gal, Approximation by Max-Product Type Operators (Springer, Heidelberg, 2016)
M. Delgado, M.A. Vila, W. Voxman, On a canonical representation of a fuzzy number. Fuzzy Sets Syst. 93, 125–135 (1998)
D. Dubois, H. Prade, The mean value of a fuzzy number. Fuzzy Sets Syst. 24, 279–300 (1987)
R. Goetschel Jr., W. Voxman, Elementary fuzzy calculus. Fuzzy Sets Syst. 18, 31–43 (1986)
P. Grzegorzewski, Metrics and orders in space of fuzzy numbers. Fuzzy Sets Syst. 97, 83–94 (1998)
S. Heilpern, The expected value of a fuzzy number. Fuzzy Sets Syst. 47, 81–86 (1992)
C. Wu, Z. Gong, On Henstock integral of fuzzy number valued functions (I). Fuzzy Sets Syst. 120(3), 523–532 (2001)
C. Wu, M. Ma, On embedding problem of fuzzy number space: part 1. Fuzzy Sets Syst. 44, 33–38 (1991)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Anastassiou, G.A. (2018). Approximation of Fuzzy Numbers Using Max-Product Operators. In: Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators. Studies in Systems, Decision and Control, vol 147. Springer, Cham. https://doi.org/10.1007/978-3-319-89509-3_8
Download citation
DOI: https://doi.org/10.1007/978-3-319-89509-3_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-89508-6
Online ISBN: 978-3-319-89509-3
eBook Packages: EngineeringEngineering (R0)