%0 Journal Article
%T Multi-choice stochastic bi-level programming problem in cooperative nature via fuzzy programming approach
%J Journal of Industrial Engineering, International
%I Islamic Azad University, South Tehran Branch
%Z 1735-5702
%A Kumar Maiti, Sumit
%A Kumar Roy, Sankar
%D 2016
%\ 09/01/2016
%V 12
%N 3
%P -
%! Multi-choice stochastic bi-level programming problem in cooperative nature via fuzzy programming approach
%K Bi
%K level programming . Stochastic programming . Multi
%K choice programming . Fuzzy programming . Non
%K linear programming
%R
%X In this paper, a Multi-Choice Stochastic Bi-Level Programming Problem (MCSBLPP) is considered where all the parameters of constraints are followed by normal distribution. The cost coefficients of the objective functions are multi-choice types. At first, all the probabilistic constraints are transformed into deterministic constraints using stochastic programming approach. Further, a general transformation technique with the help of binary variables is used to transform the multi-choice type cost coefficients of the objective functions of Decision Makers(DMs). Then the transformed problem is considered as a deterministic multi-choice bi-level programming problem. Finally, a numerical example is presented to illustrate the usefulness of the paper.
%U http://jiei.azad.ac.ir/article_676619_3e0e851c9b5758aed0e021ea0dbd9b91.pdf