Tel: +86.10.6278.7724 liu@tsinghua.edu.cn
http://orsc.edu.cn/liu
Here are text book, lecture slides, C++ source files
of algorithms related to uncertainty theory. Feel free to download and use them.
If you have any questions or comments, please contact me at
liu@tsinghua.edu.cn.
Text Book
B. Liu, Uncertainty Theory,
http://orsc.edu.cn/liu/ut.pdf.
Some information and knowledge are usually
represented by human language like "about 100km", "roughly 80kg", "low speed", "middle
age", and "big size". Perhaps some people think that they are
subjective probability or they are fuzziness. However, a lot of
surveys showed that those imprecise quantities behave neither like
randomness nor like fuzziness. How do we understand them? How do we
model them? Those questions provide a motivation to invent another
mathematical tool, namely uncertainty theory. This book provides a
self-contained, comprehensive and up-to-date presentation of
uncertainty theory, including uncertain programming, uncertain risk
analysis, uncertain reliability analysis, uncertain process,
uncertain calculus, uncertain differential equation, uncertain
finance, uncertain logic, uncertain inference, uncertain control,
and uncertain statistics.
Lecture Slides
Download All Lecture Slides (Lecture.zip)
(Main.pdf is the main file. Latex source files are included)
First Page
Uncertainty Theory
Uncertain Programming
Uncertain Risk Analysis
Uncertain Reliability Analysis
Uncertain Process
Uncertain Calculus
Uncertain Differential Equation
Uncertain Logic
Uncertain Entailment
Uncertain Set Theory
Uncertain Inference
Uncertain Statistics
C++ Source Files
UTLab.h (Head File)
Machine-Scheduling-Problem
Machine-Scheduling-Problem.cpp
Vehicle Routing Problem
Vehicle-Routing-Problem.cpp
Project Scheduling Problem
Project-Scheduling-Problem.cpp
Uncertain Differential Equation
Uncertain-Differential-Equation.cpp
Truth Value Solver
Truth-Value-Solver.cpp
Truth-Value-Solver.exe
Truth-Value-Solver.pdf
Automatic Entailment Machine
Automatic-Entailment-Machine.exe
Principle of Least Squares
Principle-Least-Squares.cpp
Genetic Algorithms
GA-1.cpp
GA-1.pdf
(Nonlinear Programming)
GA-2.cpp
GA-2.pdf
(Goal Programming)
GA-3.cpp
GA-3.pdf
(Multilevel Programming)