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A lexicographic ordering-based approach for solving fuzzy transportation problems with triangular fuzzy numbers

机译：基于字典排序的三角模糊数解模糊运输问题

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摘要

There are several methods in the literature for solving fuzzy transportation problem (FTP) in which the transportation costs and supply and demand are fuzzy numbers. In this paper, the shortcomings of existing methods are pointed out and to overcome these shortcomings a novel algorithm, based on a new lexicographic ordering on triangular fuzzy numbers, is proposed to solve FTP by converting it into a multi-objective linear programming (MOLP) problem with three-objective functions. The advantages of the proposed method over the existing methods are discussed. The main contribution of this paper is providing a new technique to reduce the computational complexity of recently introduced fuzzy transportation models. Finally, to show the application of proposed method an application example and an existing real world FTP are solved by using the proposed method.
机译：文献中有几种解决模糊运输问题（FTP）的方法，其中运输成本和供求为模糊数。本文指出了现有方法的不足，并克服了这些不足，提出了一种新的基于三角模糊数的字典顺序排序算法，通过将FTP转换为多目标线性规划（MOLP）来解决FTP问题。三目标函数的问题。讨论了该方法相对于现有方法的优势。本文的主要贡献是提供一种新技术，以减少最近引入的模糊运输模型的计算复杂性。最后，为了说明所提出的方法的应用，通过所提出的方法解决了一个应用实例和现有的现实世界中的FTP。

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