Issue |
RAIRO-Oper. Res.
Volume 57, Number 2, March-April 2023
|
|
---|---|---|
Page(s) | 993 - 1007 | |
DOI | https://doi.org/10.1051/ro/2023051 | |
Published online | 08 May 2023 |
Decision making in fuzzy reasoning to solve a backorder economic order quantity model
1
Department of Mathematics, Midnapore College (Autonomous), West Bengal 721101, India
2
Department of Mathematics, Sidho-Kanho-Birsha University, West Bengal 723104, India
* Corresponding author: skdemamo2008.com@gmail.com
Received:
16
March
2021
Accepted:
6
April
2023
Fuzzy reasoning is the subject of fuzzy system where the fuzzy set is characterized by the randomization of the variable associated in the fuzzy set itself. It is the first-time application of fuzzy reasoning over the backorder economic order quantity (EOQ) inventory management problem. We first define the fuzzy reasoning membership function through the use of L-fuzzy number and possibility theory on fuzzy numbers. Considering the holding cost, set up cost, backordering cost and demand rate as reasoning based fuzzy number, we have constructed a dual fuzzy mathematical problem. Then this problem has been solved over the dual feasible space which is associated to the aspiration level and the fuzzy approximation constant. Numerical study reveals the superiority of the proposed method with respect to the crisp solution as well as general fuzzy solution. Sensitivity analysis and graphical illustrations have also been done to justify the novelty of this article.
Mathematics Subject Classification: 90B05 / 90C46 / 90C70
Key words: Backorder model / fuzzy system / duality / fuzzy reasoning / optimization
© 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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