Partial derivatives of uncertain fields and uncertain partial differential equations

被引：0
作者：
Tingqing Ye
机构：
[1] Beihang University,School of Reliability and Systems Engineering
来源：
Fuzzy Optimization and Decision Making | 2024年 / 23卷
关键词：
Uncertainty theory; Uncertain calculus; Uncertain process; Uncertain field; Partial derivative;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：199 / 217
页数：18
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