Partial derivatives of uncertain fields and uncertain partial differential equations

Tingqing Ye ()
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Tingqing Ye: Beihang University

Fuzzy Optimization and Decision Making, 2024, vol. 23, issue 2, No 2, 199-217

Abstract: Abstract Multivariate uncertain calculus is a branch of mathematics that deals with differentiation and integration of uncertain fields based on uncertainty theory. This paper defines partial derivatives of uncertain fields for the first time by putting forward the concept of Liu field. Then the fundamental theorem, chain rule and integration by parts of multivariate uncertain calculus are derived. Finally, this paper presents an uncertain partial differential equation, and gives its integral form.

Keywords: Uncertainty theory; Uncertain calculus; Uncertain process; Uncertain field; Partial derivative (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10700-023-09417-3

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