Optimization of Fuzzy Transportation Problems using Triangular Fuzzy Numbers and Ranking Techniques

This study addresses a fuzzy transportation problem model with triangular fuzzy numbers and transformed onto crisp number with the help of three ranking methods: Pascal Triangular, Sub Interval and Magnitude Ranking Methods. Here feasible and optimal solutions are derived using Russell’s Approximation Method and the MODI methods respectively. Comparative analysis reveals significant variations in costeffectiveness across ranking techniques. The research highlights the effectiveness of different approaches in handling fuzziness and provides insights into selecting the most suitable method for achieving optimal decisionmaking in transportation problems under uncertainty.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-10-13
DOI
https://doi.org/10.5281/zenodo.17348808
Primary Topic
Optimization and Mathematical Programming
Type
article
Field-Weighted Citation Impact
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article

Optimization of Fuzzy Transportation Problems using Triangular Fuzzy Numbers and Ranking Techniques

Zenodo (CERN European Organization for Nuclear Research)
Optimization and Mathematical Programming
article

Optimization of Fuzzy Transportation Problems using Triangular Fuzzy Numbers and Ranking Techniques

article en

Abstract

This study addresses a fuzzy transportation problem model with triangular fuzzy numbers and transformed onto crisp number with the help of three ranking methods: Pascal Triangular, Sub Interval and Magnitude Ranking Methods. Here feasible and optimal solutions are derived using Russell’s Approximation Method and the MODI methods respectively. Comparative analysis reveals significant variations in costeffectiveness across ranking techniques. The research highlights the effectiveness of different approaches in handling fuzziness and provides insights into selecting the most suitable method for achieving optimal decisionmaking in transportation problems under uncertainty.

Zenodo (CERN European Organization for Nuclear Research)
Girls Incorporated (US)
Openalex Percentile: Top 43%
Optimization and Mathematical Programming
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