SPLINE APPROXIMATION FOR ZADEH'S EXTENSIONS-Reference-Cited by-同舟云学术

SPLINE APPROXIMATION FOR ZADEH'S EXTENSIONS

Published:2009-04 Issue:02 Volume:17 Page:269-280
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

CHALCO-CANO Y.¹,MISUKOSHI M. T.²,ROÁN-FLORES H.³,FLORES-FRANULIC A.³

Affiliation:

1. Departamento de Matemática, Universidad de Tarapacá, Casilla 7D, Arica, Chile

2. Instituto de Matemática e Estatística, Universidade Federal de Goiás, 74001-970, Goiânia-GO, Brazil

3. Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile

Abstract

In this paper we show an approximation for [Formula: see text], where u is a fuzzy interval and [Formula: see text] is obtained from a continuous function f applying the Zadeh's extension principle. In this process, we used a decomposition for u and the linear spline function for the approximation of f. A bound for the error in the approximation is given. Also, some examples are presented.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218488509005851

Reference26 articles.

1. Special issue: interfaces between fuzzy set theory and interval analysis

2. Interval analysis and fuzzy set theory

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On PSO-Based Simulations of Fuzzy Dynamical Systems Induced by One-Dimensional Ones;Mathematics;2021-10-28

2. On PSO-Based Approximation of Zadeh’s Extension Principle;Information Processing and Management of Uncertainty in Knowledge-Based Systems;2020

3. Calculations of Zadeh’s Extension of Piecewise Linear Functions;Advances in Intelligent Systems and Computing;2019

4. Discrete-time interval optimal control problem;International Journal of Control;2017-12-08

5. Computation of the output of a function with fuzzy inputs based on a low-rank tensor approximation;Fuzzy Sets and Systems;2017-03