Fuzzy Differential Equations as a Tool for Teaching Uncertainty in Engineering and Science

Authors

  • Nohe R Cazarez-Castro Tecnológico Nacional de México - Instituto Tecnólogico de Tijuana, Tijuana
  • Mauricio Odreman-Vera Tecnológico Nacional de México - Instituto Tecnólogico de Tijuana, Tijuana
  • Selene L Cardenas-Maciel Tecnológico Nacional de México - Instituto Tecnólogico de Tijuana, Tijuana
  • Hector Echavarria-Heras Centro de Investigación Científica y de Estudios Superiores de Ensenada, Baja California, Ensenada
  • Cecilia Leal-Ramírez Centro de Investigación Científica y de Estudios Superiores de Ensenada, Baja California, Ensenada

DOI:

https://doi.org/10.13053/cys-22-2-2947

Keywords:

cauchy problem, engineering education, fuzzy differential equations, problem-based learning, uncertainty

Abstract

This paper presents fuzzy differential equations in the context of teaching uncertainty in engineering and science. Moreover, the Cauchy problem is discussed as case of study to understand the importance of fuzzy differential equations as a natural way to model uncertainty in dynamical systems. The specific case of study reported in this paper is the Malthusian population dynamic model, which is solved by students both via analytical as well as computation al approaches as a result of applying problem-based learning teaching principles, and allowing to introduce the importance of uncertainty.

Downloads

Published

2018-06-29

Issue

Vol. 22 No. 2 (2018): Thematic Issue on Numerical and Evolutionary Optimization (Guest editors: L. Trujillo, Y. Maldonado, O. Schuetze)

Section

Articles of the Thematic Issue

License 

Hereby I transfer exclusively to the Journal "Computación y 
Sistemas", published by the Computing Research Center (CIC-IPN),
the Copyright of the aforementioned paper. I also accept that these 
rights will not be transferred to any other publication, in any other 
format, language or other existing means of developing.
I certify that the paper has not been previously disclosed or simultaneo
usly submitted to any other publication, and that it does not contain 
material whose publication would violate the Copyright or other 
proprietary rights of any person, company or institution. I certify that 
I have the permission from the institution or company where I work or 
study to publish this work.
The representative author accepts the responsibility for the publication
of this paper on behalf of each and every one of the authors. 
This transfer is subject to the following conditions:
  • The authors retain all ownership rights (such as patent rights) of this work, except for the publishing rights transferred to the CIC, through this document.
  • Authors retain the right to publish the work in whole or in part in any book they are the authors or publishers. They can also make use of this work in conferences, courses, personal web pages, and so on.
  • Authors may include working as part of his thesis, for non-profit distribution only.