Tel: +86.10.6278.7724   liu@tsinghua.edu.cn    http://orsc.edu.cn/liu

Here are text book, lecture slides, matlab uncertainty toolbox, 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, 4th edition, http://orsc.edu.cn/liu/ut.pdf.

Some information and knowledge are usually represented by human language like "about 100km", "approximately 80kg", "warm", "fast", "wide", "young", "tall", "strong", "almost all", and "many". 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 statistics, uncertain programming, uncertain risk analysis, uncertain reliability analysis, uncertain logic, uncertain inference, uncertain control, uncertain process, uncertain calculus, uncertain differential equation, and uncertain finance.


Lecture Slides

Download All Lecture Slides (Lecture.zip) (Main.pdf is the main file. Latex source files are included)

First Page
Uncertainty Theory
Uncertain Statistics
Uncertain Programming
Uncertain Risk Analysis
Uncertain Reliability Analysis
Uncertain Set Theory
Uncertain Logic
Uncertain Inference
Uncertain Control
Uncertain Process
Uncertain Calculus
Uncertain Differential Equation
Uncertain Finance

Matlab Uncertainty Toolbox

Matlab Uncertainty Toolbox is a collection of functions built on Matlab for many methods of uncertainty theory, including arithmetic operations, uncertain programming, risk analysis, uncertain logic, uncertain inference, uncertain control, uncertain differential equation and uncertain finance.

Download Matlab Uncertainty Toolbox (Uncertainty.Toolbox.zip)

boolean_system_calculator.m     expected_value.m     variance.m     entropy.m     distance.m    

uncertain_statistics_1.m     uncertain_statistics_2.m     uncertain_statistics_3.m    

uncertain_programming_1.m     uncertain_programming_2.m    

uncertain_logic_truth_value_1.m     uncertain_logic_truth_value_2.m     uncertain_logic_entailment_1.m     uncertain_logic_entailment_2.m    

C++ Source Files

UTLab.h   (Head File)

Boolean System Calculator
Boolean-System-Calculator.cpp    Boolean-System-Calculator.exe   

Principle of Least Squares
Principle-Least-Squares.cpp

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

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)