BHBinhao He
Binhao He
*This is an algorithmically generated author record based on publicly available information.
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Binhao He has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Baoding Liu
Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
1 shared publication - Binhao He
Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China
1 shared publication
Latest Publications
- 17 May 2025
- Published by Springer Nature in Fuzzy Optimization and Decision Making
- Vol. 24 (2) , 317-342
Higher-order partial derivatives of uncertain field with application to higher-order uncertain partial differential equation
- 17 May 2025
- Published by Springer Nature in Fuzzy Optimization and Decision Making
- Vol. 24 (2) , 317-342
Higher-order partial derivatives of uncertain field with application to higher-order uncertain partial differential equation
- Open Access
- 1 January 2025
- Published by American Institute of Mathematical Sciences (AIMS) in Journal of Industrial and Management Optimization
- Vol. 21 (12) , 7215-7221
Sample-continuous stationary independent increment processes in uncertainty theory
In uncertainty theory, there is a fundamental theorem of uncertain processes that $ X_t $ and $ X_0 + t(X_1 - X_0) $ share the same distribution if $ X_t $ is a stationary independent increment process. However, this conclusion fails in the presence of Hamel functions. To address this issue, a sample-continuity condition is imposed. With this additional condition, the fundamental theorem is reproved, and several significant consequences regarding the inverse uncertainty distribution, expected value, and variance are subsequently derived.- 1 January 2025
- Published by American Institute of Mathematical Sciences (AIMS) in Journal of Industrial and Management Optimization
- Vol. 21 (12) , 7215-7221
Open AccessSample-continuous stationary independent increment processes in uncertainty theory
In uncertainty theory, there is a fundamental theorem of uncertain processes that $ X_t $ and $ X_0 + t(X_1 - X_0) $ share the same distribution if $ X_t $ is a stationary independent increment process. However, this conclusion fails in the presence of Hamel functions. To address this issue, a sample-continuity condition is imposed. With this additional condition, the fundamental theorem is reproved, and several significant consequences regarding the inverse uncertainty distribution, expected value, and variance are subsequently derived.