A λ-cut and Goal Programming based Algorithm for Fuzzy Linear Multiple Objective Bi-level Optimization
نویسندگان
چکیده
Bi-level programming techniques are developed to handle decentralized problems with two-level decision makers, leaders and followers, who may have more than one objective to achieve. This paper proposes a λ-cut and goal programming based algorithm to solve fuzzy linear multiple objective bi-level (FLMOB) decision problems. First, based on the definition of a distance measure between two fuzzy vectors using λ-cut, a fuzzy linear bi-level goal (FLBG) model is formatted and related theorems are proved. Then, using λ-cut for fuzzy coefficients and a goal programming strategy for multiple objectives, a λ-cut and goal programming based algorithm to solve FLMOB decision problems is presented. A case study for a newsboy problem is adopted to illustrate the application and executing procedure of this algorithm. Finally, experiments are carried out to discuss and analyze the performance of this algorithm.
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