Issue |
RAIRO-Oper. Res.
Volume 59, Number 1, January-February 2025
|
|
---|---|---|
Page(s) | 193 - 218 | |
DOI | https://doi.org/10.1051/ro/2024078 | |
Published online | 16 January 2025 |
A case study of the impact of carbon emissions and inflation on nonlinear dense neutrosophic fuzzy inventory system of varying demand with delayed deterioration
1
Department of Basic Science, Narula Institute of Technology, Agarpara, Kolkata 700109, India
2
Department of Engineering Science, Academy of Technology, Adisaptagram, Hooghly 712502, India
3
Department of Mathematics, National Institute of Technology Puducherry, NIT Puducherry, Karaikal, India
* Corresponding author: tirtha.avishek93@gmail.com
Received:
25
January
2023
Accepted:
2
April
2024
In a comprehensive consensus, humans should reduce carbon emissions on the way to minimise the adverse effects of global warming. Manufacturing firms contribute a significant amount of carbon emissions to the environment. This article examines the impact of carbon emissions on non-instantaneously degrading commodities with price-dependent demand and advertisements since many nations are implementing emission reduction policies. The paper also focuses on the effects of inflation, where shortages are partially backlogged and partially lost in sales. This paper develops a new concept of non-linear triangular dense neutrosophic numbers with its basic properties. Further, the classifications of symmetry and asymmetry are introduced, and thereafter De-neutrosophication technique is applied for crispification. Since the effect of some parameters like carbon emissions, advertising, and inflation are uncertain, we have considered it in this new form described above to grab the uncertain characters of the underlying parameters. The classification of the uncertain parameter based on the symmetric and asymmetric nature and linear-nonlinear nature of triangular dense neutrosophic numbers have also been investigated here. Additionally, the effect of the model is examined under different situations for both linear and non-linear triangular dense fuzzy, dense intuitionistic, and dense neutrosophic. Finally, a numerical example is considered to illustrate the model, and it is observed that the model is optimum when the parameters are considered in Asymmetric Convex Non-Linear numbers for a shorter replenishment cycle. Also, a comparative study has been done by performing sensitivity analysis through the case study and provides managerial insight into this outcome.
Key words: Carbon emission / advertisement and price dependent demand / non-instantaneous deterioration / triangular dense neutrosophic number / de-neutrosophication
© The authors. Published by EDP Sciences, ROADEF, SMAI 2025
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