Fuzzy Programming Approach To Multilevel Linear Programming Problems

Multilevel programming is characterized as mathematical programming to solverndecentra lized planning problems with multiple decision make rs in a hie rarchicalrnorganization. They become morc important fo r contemporary decentralized organizationrnwhere each unit or department seeks its own interests. In this report we have considered arnmulti level programming problem and applied fu zzy mathematical programming (FMP)rnapproach to obtain the solution of the system. We have suggested FMP method for thernminimization of the objectives using linear membership functions. FMP is a supervisedrnsea rch procedure (supervised by the higher level decision maker (OM)). The higher levelrnOM provides the preferred values of decision va ri a bles under his control (to enable thernlower level OM to search for his optimum in a wider feas ible space) a nd the bounds of hisrno bjective function (to direct the lower level OM to search for his solutio ns in the rightrndirectio n) .

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