Office: Room 1307, New Science Buildings, Tsinghua University

Here are two books, lecture slides, C++ source files of simulations, genetic algorithms, neural networks, and hybrid intelligent algorithms. Feel free to download and use them. If you have any questions or comments, please contact me at liu@tsinghua.edu.cn.

Two Books

[1] B. Liu, Uncertainty Theory, 3rd ed., http://orsc.edu.cn/liu/ut.pdf.

Uncertainty theory is a branch of mathematics based on normality, monotonicity, self-duality, and countable subadditivity axioms. The goal of uncertainty theory is to study the behavior of uncertain phenomena such as fuzziness and randomness. The main topics include uncertainty theory, probability theory, credibility theory, and chance theory. This book provides a self-contained, comprehensive and up-to-date presentation of uncertainty theory. The purpose is to equip the readers with an axiomatic approach to deal with uncertainty.

[2] B. Liu, Theory and Practice of Uncertain Programming, 2nd ed., http://orsc.edu.cn/liu/up.pdf.

Real-life decisions are usually made in the state of uncertainty (fuzziness and randomness). How do we model optimization problems in uncertain environments? How do we solve these models? In order to answer these questions, this book provides a self-contained, comprehensive and up-to-date presentation of uncertain programming theory, including numerous modeling ideas and applications in system reliability design, facility location problem, vehicle routing problem, project scheduling problem, and machine scheduling problem.

Lecture Slides: Uncertainty Theory and Uncertain Programming

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

Main File

Probability Theory
Credibility Theory
Chance Theory
Uncertainty Theory

Stochastic Programming
Fuzzy Programming
Hybrid Programming
Uncertain Programming

System Reliability Design
Project Scheduling Problem
Vehicle Routing Problem
Facility Location Problem
Machine Scheduling Problem

C++ Source Files

UTLab.h   (Head File)

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)

Neural Networks
NN-1.cpp    NN-1.pdf    (Single Output)
NN-2.cpp    NN-2.pdf    (Multiple Outputs)
NN-3.cpp    NN-3.pdf    (Noise Data)

Stochastic Simulation
Random-Simulation-1.cpp    Random-Simulation-1.pdf    (Expected Value)
Random-Simulation-2.cpp    Random-Simulation-2.pdf    (Probability)
Random-Simulation-3.cpp    Random-Simulation-3.pdf    (Critical Value)

Fuzzy Simulation
Fuzzy-Simulation-1.cpp    Fuzzy-Simulation-1.pdf    (Credibility)
Fuzzy-Simulation-2.cpp    Fuzzy-Simulation-2.pdf    (Critical Value)
Fuzzy-Simulation-3.cpp    Fuzzy-Simulation-3.pdf    (Expected Value)

Hybrid Simulation
Hybrid-Simulation-1.cpp    Hybrid-Simulation-1.pdf    (Chance)
Hybrid-Simulation-2.cpp    Hybrid-Simulation-2.pdf    (Critical Value)
Hybrid-Simulation-3.cpp    Hybrid-Simulation-3.pdf    (Expected Value)

Stochastic Programming
Stochastic-Programming-1.cpp    Stochastic-Programming-1.pdf    (Expected Value Model)
Stochastic-Programming-2.cpp    Stochastic-Programming-2.pdf    (Chance-Constrained Programming)
Stochastic-Programming-3.cpp    Stochastic-Programming-3.pdf    (Dependent-Chance Programming)

Fuzzy Programming
Fuzzy-Programming-1.cpp    Fuzzy-Programming-1.pdf    (Expected Value Model)
Fuzzy-Programming-2.cpp    Fuzzy-Programming-2.pdf    (Chance-Constrained Programming)

Uncertain Multilevel Programming
SMLP-1.cpp    SMLP-1.pdf    (Expected Value Multilevel Programming)
SMLP-2.cpp    SMLP-2.pdf    (Chance-Constrained Multilevel Programming)
SMLP-3.cpp    SMLP-3.pdf    (Dependent-Chance Multilevel Programming)

System Reliability Design
Random-SR-1.cpp    Random-SR-2.cpp    Random-SR-3.cpp

Project Scheduling Problem
Random-PSP-1.cpp    Random-PSP-2.cpp    Random-PSP-3.cpp
Fuzzy-PSP-1.cpp        Fuzzy-PSP-2.cpp        Fuzzy-PSP-3.cpp

Vehicle Routing Problem
Random-VRP-1.cpp    Random-VRP-2.cpp
Fuzzy-VRP-1.cpp        Fuzzy-VRP-2.cpp

Facility Location Problem
Random-FLA-1.cpp    Random-FLA-2.cpp    Random-FLA-3.cpp
Fuzzy-FLA-1.cpp        Fuzzy-FLA-2.cpp        Fuzzy-FLA-3.cpp

Machine Scheduling Problem
Random-MSP-1.cpp    Random-MSP-2.cpp    Random-MSP-3.cpp
Fuzzy-MSP-1.cpp        Fuzzy-MSP-2.cpp        Fuzzy-MSP-3.cpp

Tsinghua Course #1: Uncertainty Theory

Tsinghua Course #2: Uncertain Programming

Tsinghua Course #3: Multilevel Programming