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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
B. Liu, Uncertainty Theory, 5th edition, http://orsc.edu.cn/liu/ut.pdf.
When no samples are available to estimate a probability distribution, we have to invite some domain experts to evaluate the belief degree that each event will occur. Perhaps some people think that the belief degree is subjective probability or fuzzy concept. However, it is usually inappropriate because both probability theory and fuzzy set theory may lead to counterintuitive results in this case. In order to rationally deal with belief degrees, uncertainty theory was founded in 2007 and subsequently studied by many researchers. Nowadays, uncertainty theory has become a branch of axiomatic mathematics for modeling belief degrees. This is an introductory textbook on uncertainty theory, uncertain programming, uncertain statistics, uncertain risk analysis, uncertain reliability analysis, uncertain set, uncertain logic, uncertain inference, uncertain process, uncertain calculus, and uncertain differential equation. This textbook also shows applications of uncertainty theory to scheduling, logistics, networks, data mining, control, and finance.
Download All Lecture Slides (Lecture.zip) (Main.pdf is the main file. Latex source files are included)
Uncertain Risk Analysis
Uncertain Reliability Analysis
Uncertain Differential Equation
Matlab Uncertainty Toolbox
Matlab Uncertainty Toolbox is a collection of functions built on Matlab for many methods of uncertainty theory, including uncertain statistics, uncertain programming, uncertain risk analysis, uncertain reliability analysis, uncertain set, uncertain logic, uncertain inference, uncertain process, uncertain calculus, and uncertain differential equation.
Download Matlab Uncertainty Toolbox (Uncertainty.Toolbox.zip)
C++ Source Files
UTLab.h (Head File)
Machine Scheduling Problem
Vehicle Routing Problem
Project Scheduling Problem
GA-1.cpp GA-1.pdf (Nonlinear Programming)
GA-2.cpp GA-2.pdf (Goal Programming)
GA-3.cpp GA-3.pdf (Multilevel Programming)