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A Study of a Backorder EOQ Model for Cloud-Type Intuitionistic Dense Fuzzy Demand Rate

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Abstract

This paper deals with a backorder inventory problem under intuitionistic dense fuzzy environment. In fuzzy set theory, the concept of dense fuzzy set is quite new that depends upon the number of negotiations/turnovers made by the decision makers (DMs) of any kind of industrial setup. Moreover, we have discussed the preliminary concept on intuitionistic dense fuzzy set (IDFS) with their corresponding (non)membership functions and defuzzification methods. The graphical overview resembles the graphs obtained from a cloud aggregation model developed by Mao et al. in 2018. The basic difference is that they considered interval-valued hesitant fuzzy model with unsharp boundary but the content of present study is solely associated with nonrandom uncertainty having proper boundary. Finally, numerical examples, comparative study, sensitivity analysis, graphical illustration, and conclusion are made for justification of the new approach.

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(Source: Mao et al. [38])

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Acknowledgements

The authors are grateful to the anonymous reviewers for their valuable comments and suggestions to improve the quality of this article.

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Authors and Affiliations

  1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102, India

    Suman Maity

  2. Department of Mathematics, Midnapore College (Autonomous), Paschim Medinipur, 721101, India

    Sujit Kumar De

  3. Department of Applied Science, Maulana Abul Kalam Azad University of Technology, West Bengal, Nadia, Haringhata, India

    Sankar Prasad Mondal

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  1. Suman Maity
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Correspondence to Sujit Kumar De.

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Maity, S., De, S.K. & Mondal, S.P. A Study of a Backorder EOQ Model for Cloud-Type Intuitionistic Dense Fuzzy Demand Rate. Int. J. Fuzzy Syst. 22, 201–211 (2020). https://doi.org/10.1007/s40815-019-00756-1

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