Solution to transport equation with interactive fuzzy data via drastic T-norm

Mohamed Hssini; Mustapha Atraoui

doi:10.5269/bspm.76209

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

Abstract

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 t-norm $T_D$). The interactivity considered is the one associated to $T_D$. Some results of $T_D$-based addition and product are given, and three illustrative examples are presented.

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