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An approach to optimize the cost of transportation problem based on triangular fuzzy programming problem
Complex & Intelligent Systems ( IF 5.8 ) Pub Date : 2021-10-15 , DOI: 10.1007/s40747-021-00535-2
Sapan Kumar Das 1
Affiliation  

In this article, we address a fully fuzzy triangular linear fractional programming (FFLFP) problem under the condition that all the parameters and decision variables are characterized by triangular fuzzy numbers. Utilizing the computation of triangular fuzzy numbers and Lexicographic order (LO), the FFLFP problem is changed over to a multi-objective function. Consequently, the problem is changed into a multi-objective crisp problem. This paper outfits another idea for diminishing the computational complexity, in any case without losing its viability crisp LFP issues. Lead from real-life problems, a couple of mathematical models are considered to survey the legitimacy, usefulness and applicability of our method. Finally, some mathematical analysis along with one case study is given to show the novel strategies are superior to the current techniques.



中文翻译:

基于三角模糊规划问题的运输成本优化方法

在本文中,我们解决了在所有参数和决策变量都由三角模糊数表征的条件下的完全模糊三角线性分数规划 (FFFLP) 问题。利用三角模糊数和词典顺序 (LO) 的计算,将 FFLFP 问题转换为多目标函数。因此,该问题变为多目标清晰问题。这篇论文提出了另一个减少计算复杂性的想法,在任何情况下都不会失去清晰的 LFP 问题的可行性。从现实生活中的问题出发,考虑了几个数学模型来调查我们方法的合法性、实用性和适用性。最后,给出了一些数学分析和一个案例研究,以表明新策略优于当前技术。

更新日期:2021-10-17
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