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A fuzzy goal programming approach to solving decentralized bi-level multi-objective linear fractional programming problems

机译:一种模糊的目标规划方法,可以解决分散的双层多目标线性分数规划问题

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摘要

This paper presents a new approach for solving decentralized bi-level multi-objective linear fractional programming problems. The main goal was to find a simple algorithm with high confidence of decision-makers in the results. First, all the linear fractional programming models on the given set of constraints were solved separately. Next, all the linear fractional objective functions were linearized, membership functions of objective functions and decision variables controlled by decision-makers at the highest level calculated, and a fuzzy multi-objective linear programming model formed and solved as linear goal programming problem by using simplex algorithm. The efficiency of the proposed algorithm was investigated using an economic example, and the obtained results compared with those obtained using an existing method.
机译:本文介绍了解决分散的双层多目标线性分数规划问题的新方法。主要目标是找到一种简单的算法,在结果中具有高度信心。首先,单独解决给定的约束集上的所有线性分数编程模型。接下来,所有线性分数客观函数都是线性化的,客观函数的隶属函数和由决策者控制的最高级别控制的决策变量,以及通过使用Simplex形成和解决的模糊多目标线性编程模型并解决了线性目标编程问题算法。使用经济示例研究了所提出的算法的效率,与使用现有方法获得的结果相比,得到的结果。

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