刘宝碇的不确定理论,非常清晰,超值享受
The real life decisions are usually made in the state of uncertainty. This
fact provides a motivation to study the behavior of uncertain phenomena
in human systems. In order to deal with uncertainty, Liu (2007) founded
an uncertainty theory that is a branch of mathematics based on normality,
monotonicity, self-duality, countable subadditivity, and product measure axioms.
Since then, uncertainty theory has been developed steadily and has
been widely applied in science and engineering. Chapter 1 is devoted to the
uncertainty theory.
Uncertain programming, proposed by Liu (2009), is a type of mathematical
programming involving uncertain variables. Chapter 2 will provide a general
framework of uncertain programming, including expected value model,
chance-constrained programming, dependent-chance programming, uncertain
dynamic programming and uncertain multilevel programming. Chapter 2 will
also present some uncertain programming models for system reliability design,
project scheduling problem, vehicle routing problem, facility location
problem, and machine scheduling problem. |