Solution to the Advection Equation with Fuzzy Initial Condition via Sup-J Extension Principle

DOI

10.2991/asum.k.210827.018How to use a DOI?

Keywords

Interactive fuzzy numbers, Sup-J extension principle, Advection equation, Zadeh’s extension principle

Abstract

This paper presents a study on the advection equation with an uncertain condition given by a fuzzy-number-valued function. A fuzzy solution to the problem is presented. This solution is obtained from the sup-J extension principle, which is a generalization of the Zadeh’s extension principle. In this case, the extension principle is used to extend the classical solution to the problem. The extension principle incorporates the relationship of interactivity, which in this work is associated with a family of parameterized joint possibility distributions. A comparison with the solution obtained from the Zadeh’s extension principle is also presented, in order to illustrate the advantages of considering interactivity in the approach.

Copyright

© 2021, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Vinícius F. Wasques
AU  - Estevão Esmi
AU  - Laécio C. Barros
PY  - 2021
DA  - 2021/08/30
TI  - Solution to the Advection Equation with Fuzzy Initial Condition via Sup-J Extension Principle
BT  - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
PB  - Atlantis Press
SP  - 134
EP  - 141
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.018
DO  - 10.2991/asum.k.210827.018
ID  - Wasques2021
ER  -