Decision making in two-layer supply chain with doubt fuzzy set

Abstract

In this article, we discuss the application of doubt fuzzy set in a pollution sensitive economic production quantity (EPQ) model. Here, we study some doubtful situations like proper, harmful, depressive and confident based on human decision-making behaviour of a life-long inventory process. Secondly, we construct two-layer supply chain model of profit a maximization problem with backlogging. In fact, in supply chain there exists so many processes uncertainty due to doubts of managerial decision making. These doubts are basically coming from the actual quantity to be ordered and that of backorder quantity in a specific cycle time. Therefore, considering several doubt fuzzy sets in the order quantity, we construct a doubt fuzzy model by taking a case study then solve it with the help of a novel approach. Finally, numerical illustrations, sensitivity analysis, comparative study and graphical explanations are done to justify the proposed work.

KEYWORDS:

• Two-layer supply chain
• backlogging
• pollution function
• doubt fuzzy set
• optimization

Acknowledgements

The authors are thankful to the honourable Editor-in Chief, anonymous reviewers for their valuable comments and suggestions to improve the quality of the article.

Disclosure statement

The authors declare that there is no conflict of interest regarding the publication of this article.

Data availability statement

No new data has been generated for this research.

Additional information

Notes on contributors

Biswajit Roy

Biswajit Roy currently works as a research scholar in Midnapore College (Autonomous), India. He completed his M.Sc. degree in 2015 from Midnapore College (Autonomous) under Vidyasagar University, West Bengal, India. He published more than 3 research articles in various international prestigious journals like International Journal of Intelligent Systems, Knowledge Based System, Journal of Fuzzy Logic and Modelling in Engineering etc. He is now working in the field of Supply Chain Management, Fuzzy decision making, Fuzzy approximate reasoning, Game theory, Doubt fuzzy Systems etc.

Sujit Kumar De

Sujit Kumar De is an Associate Professor, Department of Mathematics (UG & PG), Midnapore College (Autonomous), 721101, West Bengal, India since 2000. He received his M.Sc. degree from Vidyasagar University in the year 1995. He started his research work since 1998 at Vidyasagar University and received Ph.D. degree in the year 2007 and M.Ed. degree in 2008. He is also honored as NCTE visiting team member (VTM), higher education (Training) department Govt. of India. His research interests include inventory control/optimization, supply chain management under fuzzy, intuitionistic fuzzy, hesitant fuzzy, deterministic and stochastic environment, Noise Modelling, Environmental Pollution, He is the reviewer of more than 80 international journals. He coined the terms “Dense Fuzzy Set, Dense Fuzzy Lock Sets, Doubt Fuzzy Set” etc. in the fuzzy domain. He published more than 110 research articles in the journals like Knowledge Based Systems, International Journal of Intelligent Systems, Journal of Cleaner Production, Applied Soft Computing, Computers & Industrial Engineering, Computers and Operations Research, Applied Intelligence, Soft Computing, Int. J. of Intelligent Computing and Cybernetics, Opsearch, International Journal of Fuzzy Systems and Rough Systems, International Journal of Systems Science, Int. J. of Systems Science: Operations & Logistics, Journal of Applied Mathematics and Computing, Annals of Pure and Applied Mathematics, Journal of Industrial Engineering International, Economic Modelling, Annals of Operations Research, International Journal of Applied Mathematics and Computation, International Journal of Operational Research, Journal of Computational Mathematics, Journal of Industrial Engineering, Pacific Science Review Part A, Man and Life, International Journal of Management Sciences and Engineering Management, International Journal of Systems Science: Operations & Logistics, International Journal of Intelligent Manufacturing, International Journal of Intelligent & Fuzzy systems, Annals of Optimization Theory and Practice, Neurtosophic Sets and Systems etc. He is an Associate Editor of “Journal of Fuzzy Logic and Modelling in Engineering” and “Finance and Market”.

Kousik Bhattacharya

Kousik Bhattacharya is a research scholar in Midnapore College (Autonomous), India. He completed his M.Sc. degree in 2015 from Midnapore College (Autonomous) under Vidyasagar University, West Bengal, India. He published more than 15 research articles in various international journals like Computers and Industrial Engineering, Applied Soft Computing, International Journal of Intelligent Systems, Opsearch, Soft Computing, Applied Intelligence, Knowledge Based System etc. He is now working in the field of Supply Chain Management, Fuzzy decision making, Fuzzy approximate reasoning, etc.