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

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

doi:10.47974/JIM-1651

Open Access Research Article

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

Vishwas Deep Joshivdjoshi.or@gmail.comDepartment of MathematicsJaipur, RajasthanJECRC University JaipurIndia0000-0001-8134-0282View full profile → , Saurabh Singh Naharwarsaurabhsinghnaharwar@gmail.comDepartment of MathematicsJaipur, RajasthanJECRC University JaipurIndiaView full profile → , Jagdev Singhjagdevsinghrathore@gmail.comDepartment of MathematicsJaipur, RajasthanJECRC University JaipurIndiaView full profile → , ^*K. S. NisarCorresponding authorn.sooppy@psau.edu.saAffiliation 1Department of MathematicsCollege of Science and Humanities in AlkharjAlkharj 11942Prince Sattam Bin Abdulaziz UniversitySaudi ArabiaAffiliation 2School of TechnologyHyderabad 502345, TelanganaWoxsen UniversityIndiaView full profile →

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pp. 121–132Vol. 26Issue 1January 2023DOI: 10.47974/JIM-1651XML

Published Online:: 31 Jan 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1651
Pages:: 121–132

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.

Keywords

Multi-objective linear fractional transportation problem (MOLFTP)Rough set theory Fractional transportation problem Weighted sum approach

Subject Classifications

90C2990C3290B0690B99

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