Browsing by Author "Gurmessa, Mulusew"

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    A Fuzzy Programming Approach to Bi-Level Linear Programming Problems
    (Addis Ababa University, 2013-01) Gurmessa, Mulusew; Mitiku, Semu (PhD)
    Bi-level programming is characterized as a mathematical programming to solve decentralized problems with two decision makers in a hierarchical organization. They become more important for contemporary decentralized organization where each unit seeks to optimize its own objective. In this report we have considered a bi-level linear programming and applied fuzzy mathematical programming (FMP) approach to obtain the solution of the system. We have suggested FMP method for the minimization of the objectives in terms of the linear membership functions. FMP is a supervised search procedure (supervised by the upper decision maker (DM)). The upper level decision maker provides the preferred values of decision variables under his control (to enable the lower level DM to search for his optimum in a wider feasible space ) and the bounds of his objective function (to direct the lower level DM to search for his solutions in the right direction