Rough Programming

  • Baoding Liu
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 102)


By rough programming we mean the optimization theory in rough environments. This chapter will introduce rough expected value model (EVM), rough chance-constrained programming (CCP) and rough dependent-chance programming (DCP). Since an interval number can be regarded as a special rough variable, we also obtain a spectrum of interval programming as a byproduct.


Hide Neuron Uncertain Environment Multiobjective Programming Trained Neural Network Expect Value Model 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Baoding Liu
    • 1
  1. 1.Uncertain Systems Laboratory, Department of Mathematical SciencesTsinghua UniversityBeijingChina

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