| Issue |
RAIRO-Oper. Res.
Volume 57, Number 1, January-February 2023
|
|
|---|---|---|
| Page(s) | 99 - 120 | |
| DOI | https://doi.org/10.1051/ro/2022211 | |
| Published online | 17 January 2023 | |
New approach to solve fuzzy multi-objective multi-item solid transportation problem
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, West Bengal, India
* Corresponding author: sankroy2006@gmail.com
Received:
19
February
2021
Accepted:
5
December
2022
This paper explores the study of Multi-Objective Multi-item Solid Transportation Problem (MMSTP) under the fuzzy environment. Realizing the impact of real-life situations, here we consider MMSTP with parameters, e.g., transportation cost, supply, and demand, treat as trapezoidal fuzzy numbers. Trapezoidal fuzzy numbers are then converted into nearly approximation interval numbers by using (P. Grzegorzewski, Fuzzy Sets Syst. 130 (2002) 321–330.) conversation rule, and we derive a new rule to convert trapezoidal fuzzy numbers into nearly approximation rough interval numbers. We derive different models of MMSTP using interval and a rough interval number. Fuzzy programming and interval programming are then applied to solve converted MMSTP. The expected value operator is used to solve MMSTP in the rough interval. Thereafter, two numerical experiments are incorporated to show the application of the proposed method. Finally, conclusions are provided with the lines of future study of this manuscript.
Mathematics Subject Classification: 90-08
Key words: Solid transportation problem / multi-objective decision making / fuzzy programming and interval programming / expected value operator / pareto optimal solution
© The authors. Published by EDP Sciences, ROADEF, SMAI 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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