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Fuzzy Multi-Objective Inventory Model for Deteriorating Items, with Shortages Under Space Constraint: Neutrosophic Hesitant Fuzzy Programming Approach

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Neutrosophic Operational Research

Abstract

In this paper, we have developed a multi-objective inventory problem with constant deterioration after a certain period of time under the limitation of storage space constraint. We consider that demand and holding cost are time dependent. Shortages are allowed under partial backlogging. Due to uncertainty, we consider some parameters of the model as generalized trapezoidal fuzzy number. Our proposed model is solved by both neutrosophic hesitant fuzzy programming approach and fuzzy nonlinear programming technique. Numerical example has been given to illustrate the model. Finally, sensitivity analysis has been presented graphically.

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Acknowledgments

The author is thankful to the University of Kalyani for providing financial assistance through DST-URSE (Phase-II) Programme. The authors are grateful to the reviewers for their comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, University of Kalyani, Nadia, West Bengal, India

    Sahidul Islam

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  1. Sahidul Islam
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Correspondence to Sahidul Islam .

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Editors and Affiliations

  1. Department of Mathematics and Science, University of New Mexico, Gallup, NM, USA

    Florentin Smarandache

  2. Faculty of Computers and Informatics, Zagazig University, Zagazig, Sharqiyah, Egypt

    Mohamed Abdel-Basset

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Islam, S. (2021). Fuzzy Multi-Objective Inventory Model for Deteriorating Items, with Shortages Under Space Constraint: Neutrosophic Hesitant Fuzzy Programming Approach. In: Smarandache, F., Abdel-Basset, M. (eds) Neutrosophic Operational Research. Springer, Cham. https://doi.org/10.1007/978-3-030-57197-9_11

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