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ABSTRACT
This paper deals with managerial decision-making for a deteriorating economic order quantity (EOQ) inventory model for natural idle time and imprecise demand under hesitant fuzzy environment. Also, the unavoidable situations like deterioration of the items and impreciseness of the demand rate are considered. However, the inventory processing time itself splits into a specific emergent natural idle time, a finite opening time and closing time as well. Again to select the best alternative, a decision-maker will have to think of different attributes of a particular commodity for which all parameters differ anonymously. In fuzzy environment, several articles are available in the literature but the inclusion of hesitant fuzzy set in inventory management problem is quite new. Here we have developed a hesitant fuzzy decision matrix first, and then some aggregation operators like hesitant fuzzy weighted geometric (HFWG), hesitant fuzzy geometric (HFG), hesitant fuzzy Einstein weighted geometric (HFEWG) and hesitant fuzzy Einstein ordered weighted geometric (HFEOWG) have been used to derive the score values of each alternative and rank them. Finally, the decision is compared with that of fuzzy optimal solutions and ends with a conclusion keeping some scope of future works.
Acknowledgements
The authors are grateful to editor-in chief, associate editor and five reviewers for their valuable comments and suggestions to improve the presentation of this article.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Notes on contributors
Snigdha Karmakar
Snigdha Karmakar received her MSc degree from Indian Institute of Technology, Kharagpur, India, in 2013. Her research interest includes inventory management under fuzzy environment, hesitant fuzzy set and supply chain management.
Sujit Kumar De
Sujit Kumar De received his MSc degree from Vidyasagar University in the year 1995 and joined as a lecturer in Mathematics at Panskura Banamali College, Purba Medinipur, West Bengal, India in the year 2000. He started his research work since 1998 at Vidyasagar University and received PhD degree in 2007. He also received MEd degree from the University of Calcutta in the year 2008. His research interests are inventory control/optimisation, supply chain management under fuzzy, intuitionistic fuzzy, hesitant fuzzy, deterministic and stochastic environment. Currently, he is holding the Associate Professor post in Mathematics at Midnapore College (Autonomous). He is the reviewer of more than 25 international journals. He published many articles in the journals like Opsearch, International Journal of Fuzzy Systems and Rough Systems, International Journal of Systems Science, Journal of Applied Mathematics and Computing, Annals of Pure and Applied Mathematics, Economic Modelling, Annals of Operations Research, International Journal of Applied Mathematics and Computation, Journal of Computational Mathematics, Journal of Industrial Engineering, Pacific Science Review, Man and Life, International Journal of Management Sciences and Engineering Management, and International Journal of System Science: Operations & Logistics.
Adrijit Goswami
Adrijit Goswami received his MSc and PhD degree from Jadavpur University, India, in 1985 and 1992, respectively. In 1992, he joined the Indian Institute of Technology, Kharagpur, India, where at present he is a Professor in the Department of Mathematics. He has published articles in JORS, EJOR, International Journal of Production Economics, Computers and Mathematics with Applications, Production Planning and Control, Opsearch, International Journal of Systems Science, The Journal of Fuzzy Mathematics, Journal of Information and Knowledge Management, Expert Systems, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, Journal of Applied Mathematics and Computing, International Journal of Computers and Applications, International Journal of Data Analysis Techniques and Strategies, etc. His research interest includes inventory management under fuzzy environment, optimisation, database systems, distributed and object-oriented databases, data mining techniques under fuzzy environment, and information security. He has published more than 105 papers in international journals and conferences in these areas.