id: 05580559
dt: j
an: 05580559
au: Xu, Jiuping; Yao, Liming
ti: A class of multiobjective linear programming models with random rough
    coefficients.
so: Math. Comput. Modelling 49, No. 1-2, 189-206 (2009).
py: 2009
pu: Elsevier Science Ltd. (Pergamon), Oxford
la: EN
cc: 
ut: rough variable; random rough variable; trust measure; chance measure;
    random rough simulation; genetic algorithm; compromise solution
ci: 
li: doi:10.1016/j.mcm.2008.01.003
ab: Summary: We concentrate on dealing with a class of multiobjective
    programming problems with random rough coefficients. We first discuss
    how to turn a constrained model with random rough variables into crisp
    equivalent models. Then an interactive algorithm which is similar to
    the interactive fuzzy satisfying method is introduced to obtain the
    decision maker’s satisfying solution. In addition, the technique of
    random rough simulation is applied to deal with general random rough
    objective functions and random rough constraints which are usually hard
    to convert into their crisp equivalents. Furthermore, combined with the
    techniques of random rough simulation, a genetic algorithm using the
    compromise approach is designed for solving a random rough
    multiobjective programming problem. Finally, illustrative examples are
    given in order to show the application of the proposed models and
    algorithms.
rv: