Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Beta fuzzy logic systems: Approximation properties in the SISO case
Contributor:
Rutkowska, Danuta - ed. ; Zadeh, Lotfi A. - ed.
Subtitle:
Neuro-Fuzzy and Soft Computing
Group publication title:
Abstract:
In this paper, a Single-Input Single-Output (SISO) Sugeno fuzzy model of the zeroth order with Beta membership functions for input variables is adopted. After the introduction of Beta Fuzzy Logic Systems (BFLS) a constructive theory is developed to establish the fact that they are universal approximators. Based on this theory, an algorithm, which can actually construct a BFLS approximating a given continuous function with an arbitrary degree of accuracy, is described. ; We then show that BFLSs satisfy more critical properties which are the best approximation property and the interpolation property. We complete the paper with a series of numerical comparisons between the approximation performances of BFLSs and other classes of widely used fuzzy logic systems. These comparisons confirm that BFLSs perform best in all the cases studied.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 10, number 4 (2000) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repozytorium > Jednostki organizacyjne > Wydział Informatyki, Elektrotechniki i Automatyki
- Repozytorium > Typy utworów > Artykuły
- Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2000)
Last modified:
14 lip 2025
In our library since:
19 lip 2021
Number of object content hits:
174
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/65531
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 10, number 1 (2000)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 10, number 2 (2000)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 10, number 3 (2000)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 10, number 4 (2000)
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| Edition name | Date |
|---|---|
| Beta fuzzy logic systems: Approximation properties in the SISO case | 14 lip 2025 |
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