| Issue |
RAIRO-Oper. Res.
Volume 58, Number 4, July-August 2024
|
|
|---|---|---|
| Page(s) | 3487 - 3499 | |
| DOI | https://doi.org/10.1051/ro/2024012 | |
| Published online | 02 September 2024 | |
A technique to solve Transshipment Problem with Asymmetric Pentagonal Fuzzy Numbers
1
Department of Mathematics, University of Delhi, Delhi 110007, India
2
Department of Mathematics, Deen Dayal Upadhyaya College, University of Delhi, Delhi 110078, India
* Corresponding author: aparnarora6295@gmail.com
Received:
16
November
2022
Accepted:
6
January
2024
In order to draw comparison in largely used fuzzy numbers, ranking of fuzzy numbers becomes important. In this paper, a new method for ranking Asymmetric Pentagonal Fuzzy Numbers (APFN) is proposed. In this method, the pentagonal fuzzy numbers are scored by obtaining their centers of gravity using left and right areas associated with them. Further, we propose a direct technique for solving fuzzy Transshipment Problem (TsP) in which costs are represented as Asymmetric Pentagonal Fuzzy Numbers. The solution so obtained is fuzzy optimal solution. The validity of proposed methodology is illustrated through numerical examples.
Mathematics Subject Classification: 90C05 / 90C70
Key words: Fuzzy number / pentagonal fuzzy numbers / Asymmetric Pentagonal Fuzzy Numbers / transshipment problem / ranking of fuzzy numbers
© The authors. Published by EDP Sciences, ROADEF, SMAI 2024
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