Bulk Transportation Problem with Multi-Objectives: A ModernApproach in Fuzzy Environment

Many researchers considered fuzzy parameters in the transportation problem but we dealt withintuitionistic fuzzy parameters in trapezoidal form. Seeking the most suitable solution for all objectivessimultaneously in a multi-objective transportation problem is extremely challenging. Therefore, severalcontemporary techniques are applied to simultaneously identify the best compromise solution for all objectives.The "Bulk Transportation Problem" is a distinct kind of multi-objective transportation problem that we coveredin this work. In this problem, each destination's demand is satisfied by a single source, but the source maysupply to any number of destinations. First, we transformed fuzzy data into crisp data using a ranking function.Then, we suggested an alternative analytical approach for the bulk multi-objective transportation problem,which allows us to arrive at a workable solution. To demonstrate the effectiveness and potential of oursuggested method for the bulk multi-objective transportation problem, we provided a numerical example.

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Publication Details

Journal
International journal of mathematics and statistics invention.
Published
2025-03-01
DOI
https://doi.org/10.35629/4767-13031923
Primary Topic
Optimization and Mathematical Programming
Type
article
Field-Weighted Citation Impact
0.00
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article

Bulk Transportation Problem with Multi-Objectives: A ModernApproach in Fuzzy Environment

Kamini Kamini, Deepak Choudhary
International journal of mathematics and statistics invention.
Optimization and Mathematical Programming
article

Bulk Transportation Problem with Multi-Objectives: A ModernApproach in Fuzzy Environment

Kamini Kamini, Deepak Choudhary
article en

Abstract

Many researchers considered fuzzy parameters in the transportation problem but we dealt withintuitionistic fuzzy parameters in trapezoidal form. Seeking the most suitable solution for all objectivessimultaneously in a multi-objective transportation problem is extremely challenging. Therefore, severalcontemporary techniques are applied to simultaneously identify the best compromise solution for all objectives.The "Bulk Transportation Problem" is a distinct kind of multi-objective transportation problem that we coveredin this work. In this problem, each destination's demand is satisfied by a single source, but the source maysupply to any number of destinations. First, we transformed fuzzy data into crisp data using a ranking function.Then, we suggested an alternative analytical approach for the bulk multi-objective transportation problem,which allows us to arrive at a workable solution. To demonstrate the effectiveness and potential of oursuggested method for the bulk multi-objective transportation problem, we provided a numerical example.

International journal of mathematics and statistics invention.Vol. 13(3)
Openalex Percentile: Top 85%
Optimization and Mathematical Programming
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