Linear fuzzy partial differential equations for A-linearly correlated fuzzy processes

被引：0
|
作者：
Shahidi, M. [1 ]
Barros, L.C. [1 ]
Esmi, E. [1 ]
机构：
[1] Department of Applied Mathematics, University of Campinas, Campinas, Brazil
来源：
Information Sciences | 2025年 / 691卷
基金：
巴西圣保罗研究基金会;
关键词：
Choquet integral - Partial differential equations;
D O I：
10.1016/j.ins.2024.121629
中图分类号：
学科分类号：
摘要：
In this paper, we deal with linear fuzzy partial differential equations (FPDEs) whose solutions correspond to A-linearly correlated fuzzy processes. More precisely, we investigate general second-order linear fuzzy partial differential equations and provide solutions for two essential cases: the fuzzy advection equation and the fuzzy wave-like equation with fuzzy velocity terms. One of the advantages of our approach is that these FPDEs can be converted into a classical system of partial differential equations (PDEs). Thus, any suitable and appropriate method to solve PDEs can be applied to solve this classical system and, eventually leading to the derivation of a fuzzy solution. Finally, we provide some examples to demonstrate our results. © 2024 Elsevier Inc.
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