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Uncertain calculus with renewal process
刊名：
Fuzzy Optimization and Decision Making
作者：
Kai Yao
（Department of Mathematical Sciences, Tsinghua University）
刊号：
519LB020
ISSN：
1568-4539
出版年：
2012
年卷期：
2012, vol.11, no.3
页码：
285-297
总页数：
13
分类号：
O22
关键词：
Uncertain calculus
；
Uncertain integral
；
Renewal process
；
Uncertain differential equation
；
Uncertainty theory
参考中译：
语种：
eng
文摘：
Uncertain calculus is a branch of mathematics that deals with differentiation and integration of function of uncertain processes. As a fundamental concept, uncertain integral has been defined with respect to canonical process. However, emergencies such as economic crisis and war occur occasionally, which may cause the uncertain process a sudden change. So far, uncertain renewal process has been employed to model these jumps. This paper will present a new uncertain integral with respect to renewal process. Besides, this paper will propose a type of uncertain differential equation driven by both canonical process and renewal process.
相关文献：
Continuous dependence theorems on solutions of uncertain differential equations
Analytic solutions of two types of nonlinear uncertain differential equations
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