A numerical approach to fuzzy partial differential equations with interactive fuzzy values: application to the heat equation

DOI10.1007/S40314-024-02852-XMaRDI QIDQ6590189

Vinícius Francisco Wasques

Publication date: 21 August 2024

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

heat equationfuzzy partial differential equationssup-\(J\) extension principlefuzzy interactivity

Mathematics Subject Classification ID

Fuzzy partial differential equations (35R13) Fuzzy functional-differential equations (34K36)

Cites Work

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• A first course in fuzzy logic, fuzzy dynamical systems, and biomathematics. Theory and applications
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• Fuzzy logic and approximate reasoning
• A new stochastic approach to transient heat conduction modeling with uncertainty.
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• Mathematics of fuzzy sets and fuzzy logic
• Fuzzy differential equations with interactive derivative
• A study of the heat transfer in materials with interval and fuzzy values via extension principle
• The generalized fuzzy derivative is interactive
• Addition and subtraction of interactive fuzzy numbers via family of joint possibility distributions

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