{"title":"Linear fuzzy partial differential equations for A-linearly correlated fuzzy processes","authors":"M. Shahidi, L.C. Barros, E. Esmi","doi":"10.1016/j.ins.2024.121629","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we deal with linear fuzzy partial differential equations (FPDEs) whose solutions correspond to <em>A</em>-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.</div></div>","PeriodicalId":51063,"journal":{"name":"Information Sciences","volume":"691 ","pages":"Article 121629"},"PeriodicalIF":8.1000,"publicationDate":"2024-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Information Sciences","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020025524015433","RegionNum":1,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"0","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
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.
期刊介绍：
Informatics and Computer Science Intelligent Systems Applications is an esteemed international journal that focuses on publishing original and creative research findings in the field of information sciences. We also feature a limited number of timely tutorial and surveying contributions.
Our journal aims to cater to a diverse audience, including researchers, developers, managers, strategic planners, graduate students, and anyone interested in staying up-to-date with cutting-edge research in information science, knowledge engineering, and intelligent systems. While readers are expected to share a common interest in information science, they come from varying backgrounds such as engineering, mathematics, statistics, physics, computer science, cell biology, molecular biology, management science, cognitive science, neurobiology, behavioral sciences, and biochemistry.
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