A new solution procedure for multi-objective linear fractional transportation problem with rough parameters

IF 1.1 Q1 MATHEMATICS

JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI:10.47974/jim-1651

Vishwas Deep Joshi, Saurabh Singh Naharwar, Jagdev Singh, K. Nisar

引用次数: 0

Abstract

In this article, we are discussing a rough multi-objective linear fractional transportation problem (RMOLFTP). In Day-to-day life, we frequently encounter many situations where the transportation problems are represented by a rough set. The main aim of our research article is to solve the RMOLFTP where the transportation cost and profit, of the product as rough interval coefficients. Here a new logic is introduced by us to solve RMOLFTP that diversifies the form of Nomani et. al., (2016). To demonstrate the recommended algorithm, a rough numeric problem with two objective functions is offered. A weighted model is presented in this approach for the solutions.

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粗糙参数多目标线性分数运输问题的一种新的求解方法

本文讨论了一个粗糙的多目标线性分数运输问题(RMOLFTP)。在日常生活中，我们经常遇到用粗糙集来表示交通问题的情况。本文研究的主要目的是解决以产品的运输成本和利润为粗区间系数的RMOLFTP问题。在这里，我们引入了一种新的逻辑来解决RMOLFTP，使Nomani等人(2016)的形式多样化。为了演示所推荐的算法，给出了一个具有两个目标函数的粗略数值问题。在此方法中，提出了求解的加权模型。

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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来源期刊

JOURNAL OF INTERDISCIPLINARY MATHEMATICS MATHEMATICS-

CiteScore

2.70

自引率

23.50%

发文量

141

期刊介绍： The Journal of Interdisciplinary Mathematics (JIM) is a world leading journal publishing high quality, rigorously peer-reviewed original research in mathematical applications to different disciplines, and to the methodological and theoretical role of mathematics in underpinning all scientific disciplines. The scope is intentionally broad, but papers must make a novel contribution to the fields covered in order to be considered for publication. Topics include, but are not limited, to the following: • Interface of Mathematics with other Disciplines • Theoretical Role of Mathematics • Methodological Role of Mathematics • Interface of Statistics with other Disciplines • Cognitive Sciences • Applications of Mathematics • Industrial Mathematics • Dynamical Systems • Mathematical Biology • Fuzzy Mathematics The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Editor-in-Chief’s discretion. Special issue proposals in cutting-edge and timely areas of research in interdisciplinary mathematical research are encouraged – please contact the Editor-in-Chief in the first instance.