LINEAR FIRST-ORDER FUZZY DIFFERENTIAL EQUATIONS-Reference-Cited by-同舟云学术

LINEAR FIRST-ORDER FUZZY DIFFERENTIAL EQUATIONS

Published:2006-12 Issue:06 Volume:14 Page:687-709
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:

NIETO JUAN J.¹,RODRÍGUEZ-LÓPEZ ROSANA²,FRANCO DANIEL³

Affiliation:

1. Departamento de Análisis Matemáitico, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela, 15782, Spain

2. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela, 15782, Spain

3. Departamento de Matemática Aplicada I, Escuela Técnica Superior de Ingenieros Industriales, Universidad National de Educación a Distancia, Apartado de Correos 60149, Madrid, 28080, Spain

Abstract

We give the expression for the solution to some particular initial value problems in the space E1 of fuzzy subsets of ℝ. We deduce some interesting properties of the diameter and the midpoint of the solution and compare the solutions with the corresponding ones in the crisp case.

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/S0218488506004278

Reference13 articles.

1. Midpoints for fuzzy sets and their application in medicine

2. Revisiting fuzzy differential equations

3. Brief note on the variation of constants formula for fuzzy differential equations

4. Metric Spaces of Fuzzy Sets: Theory and Applications

5. Theory of Fuzzy Differential Equations and Inclusions

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