A Multi-item Inventory Model with Fuzzy Rough Coefficients via Fuzzy Rough Expectation

  • Totan Garai
  • Dipankar Chakraborty
  • Tapan Kumar Roy
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 225)


In this paper, we concentrated on developing a multi-item inventory model under fuzzy rough environment. Here, demand and holding cost rates are assumed as the functions of stock level. Fuzzy rough expectation method is used to transform the present fuzzy rough inventory model into its equivalent crisp model. A numerical example is provided to illustrate the proposed model. To show the validity of the proposed models, few sensitivity analyses are also presented under the major parameter, and the results are illustrated numerically and graphically.


Multi-item inventory Trapezoidal fuzzy rough variable Fuzzy rough expectation 


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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Totan Garai
    • 1
  • Dipankar Chakraborty
    • 2
  • Tapan Kumar Roy
    • 1
  1. 1.Department of MathematicsIndian Institute of Engineering Science and Technology, ShibpurHowrahIndia
  2. 2.Department of MathematicsHeritage Institute of TechnologyAnandapur, KolkataIndia

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