在使用十边形直觉模糊数的交通问题中应用模糊排序法

Q4 Mathematics

Communications on Applied Nonlinear Analysis Pub Date : 2024-07-05 DOI:10.52783/cana.v31.975

KR Balasubramanian

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引用次数: 0

摘要

在这项研究中，论文深入探讨了传统交通问题解决方案所面临的精确性挑战，这些解决方案僵化地定义了成本、供应和需求。由于认识到现实世界中固有的模糊性，本研究探讨了直观模糊集作为一种有效工具的功效。这项研究分为四个不同的部分，利用十边形直观模糊数来管理供应和需求，同时坚持传统的成本考量方法。采用模糊排序法，通过调整各部分的十边形直观模糊数配置，得出最佳解决方案。通过比较分析，该研究确定了最有效的解决方案，最初的部分涉及平衡的几何直观模糊运输问题，最后的部分侧重于不平衡的情况，特别强调了供需的复杂性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Applying a Fuzzy Ordering Approach in Transportation Problems with Decagonal Intuitionistic Fuzzy Numbers

In this study, the paper delves into precision challenges within traditional transportation problem solutions, which rigidly define cost, supply, and demand. Acknowledging the inherent vagueness in real world contexts, the research explores the efficacy of intuitive fuzzy sets as a potent tool. Organized into four distinct sections, this work utilizes decagonal intuitionistic fuzzy numbers for managing supply and demand, while upholding conventional approaches for cost considerations. Employing a fuzzy ordering method, optimal solutions are derived by adjusting the configuration of decagonal intuitive fuzzy numbers across each segment. Through a comparative analysis, the Study identifies the most effective solution, with initial sections addressing balanced geometric intuitionistic fuzzy transportation problems and the final part focusing on unbalanced scenarios, specifically emphasizing supply and demand complexities.

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来源期刊

Communications on Applied Nonlinear Analysis Mathematics-Analysis

CiteScore

0.30

自引率

0.00%

发文量