Generalized neutrosophic Laplace transform and its application in an EOQ model with price and deterioration-dependent demand

Rakibul Haque, Mostafijur Rahaman, Shariful Alam, Pradeep Kumar Behera and Sankar Prasad Mondal ()
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Rakibul Haque: Maulana Abul Kalam Azad University of Technology, West Bengal
Mostafijur Rahaman: Indian Institute of Engineering Science and Technology, Shibpur
Shariful Alam: Indian Institute of Engineering Science and Technology, Shibpur
Pradeep Kumar Behera: Navarchana University
Sankar Prasad Mondal: Maulana Abul Kalam Azad University of Technology, West Bengal

OPSEARCH, 2025, vol. 62, issue 2, No 3, 550-582

Abstract: Abstract The central concern of this article is to define Laplace transformation for neutrosophic valued function and an application for manifesting an economic optimization model. Neutrosophy philosophy includes advance mathematical sense regarding uncertainty involved in decision processes in reality. Laplace transformation is one of the finest mathematical tools to deal with non-linearity and more complexity with models. So, the needs of mathematical tools for dealing neutrosophic differential equations depicting EOQ model in an acceptance-dilemma-rejection concerned decision phenomena has been fulfilled by introducing neutrosophic Laplace transformation. An EOQ model with price and deterioration-controlled demand rate has been discussed in the light of neutrosophy ruled uncertainty using the proposed theory of uncertain Laplace transformation and a novel de-neutrosophication formula. A detail of the sensitivity analysis follows the numerical optimization of the EOQ model. Significant contributions of this paper are a novel introduction of neutrosophic Laplace transformation and its fruitful utilization in inventory management scenario.

Keywords: Economic order quantity; Neutrosophic differential equation; Neutrosophic Laplace transform; Neutrosophic differential calculus; Deterioration; Optimization (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s12597-024-00803-y

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