Large Scale Fuzzy Multiobjective Linear Programming
As a multiobjective generalization of the previous chapter, this chapter treats large scale multiobjective linear programming problems with block angular structures. The fuzzy goals of the decision maker are quantified by eliciting the corresponding linear membership functions. Following the fuzzy decision of Bellman and Zadeh for combining them, fuzzy multiobjective linear programming, using the Dantzig-Wolfe decomposition method, is presented for obtaining the satisficing solution for the decision maker. Interactive fuzzy multiobjective linear programming for deriving the satisficing solution for the decision maker by updating the reference membership levels is also presented by utilizing the Dantzig-Wolfe decomposition method.
KeywordsDecision Maker Membership Function Linear Programming Problem Pareto Optimal Solution Fuzzy Goal
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