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Uncertain programming: a unifying optimization theory in various uncertain environments
Authors:Baoding Liu
Institution:

Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People's Republic of China

Abstract:By uncertain programming we mean the optimization theory in generally uncertain (random, fuzzy, fuzzy random, grey, etc.) environments. Three broad classes of uncertain programming are expected value models and chance-constrained programming as well as dependent-chance programming. In order to solve general uncertain programming models, a simulation-based genetic algorithm is also documented. Finally, some applications and further research problems appearing in this area are posed.
Keywords:Stochastic programming  Fuzzy programming  Genetic algorithm
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