A SOLUTION TO TRANSPORT EQUATION WITH INTERACTIVE FUZZY DATA VIA DRASTIC T-NORM

Mohamed Hssini; Mustapha Atraoui

doi:10.5269/bspm.76209

A SOLUTION TO TRANSPORT EQUATION WITH INTERACTIVE FUZZY DATA VIA DRASTIC T-NORM

Mohamed Hssini Department of Mathematics,Research laboratory for Innovation in Mathematics and Intelligent Systems (IMIS); BP 6146, 86150, Agadir https://orcid.org/0009-0002-9902-8400
Mustapha Atraoui https://orcid.org/0009-0006-5932-110X

Resumen

In this paper, we study the transport equation with uncertain parameter and initial condition modeled by interactive fuzzy number and fuzzy-number-valued function respectively. The fuzzy solution to the problem is obtained by extending the classical one using the extension principle via drastic t-norm (the weakest tnorm TD). The interactivity considered is the one associated to TD. Some results of TD-based addition and product are given, and two illustrative examples are presented.