A Fuzzy Programming Approach to Structured Linear Programs
In this paper, we focus on large-scale linear programming problems with block angular structure by assuming that the decision maker (DM) may have a fuzzy goal for the objective function and fuzzy constrains for the coupling constraints. Having elicited the corresponding linear membership functions through the interaction with the DM, we adopt the convex fuzzy decision. Then if some simple conditions are satisfied, it is shown that the formulated problem can be reduced to a number of independent linear subproblems and the satisfying solution for the DM is directly obtained just only solving the subproblems.
KeywordsDecision Maker Fuzzy Goal Coupling Constraint Fuzzy Constraint Linear Membership Function
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