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Multi-objective linear fractional inventory problem under intuitionistic fuzzy environment

Author

Listed:
  • Irfan Ali

    (Aligarh Muslim University)

  • Srikant Gupta

    (Aligarh Muslim University)

  • Aquil Ahmed

    (Aligarh Muslim University)

Abstract

In this paper, we have assumed an inventory multi-objective optimization model under intuitionistic fuzziness. In modelling, we have considered the situations where triangular intuitionistic fuzzy numbers used to express some of the input information which associated with decision variables. Further, a ranking function approach by considering linear and the nonlinear degree of membership functions have been used to obtain the crisp form of the fuzzy parameters. Finally, the fuzzy goal programming approach has been used to solve the resultant model to obtain the optimal ordering quantity. Also, a comparative study of the formulated problem under intuitionistic fuzziness has been done with a deterministic model of inventory. The concept of the paper is explained through a numerical example.

Suggested Citation

  • Irfan Ali & Srikant Gupta & Aquil Ahmed, 2019. "Multi-objective linear fractional inventory problem under intuitionistic fuzzy environment," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(2), pages 173-189, April.
    • Handle: RePEc:spr:ijsaem:v:10:y:2019:i:2:d:10.1007_s13198-018-0738-5
    DOI: 10.1007/s13198-018-0738-5
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    References listed on IDEAS

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    1. Pavan Kumar & Debashis Dutta, 2015. "Multi-objective linear fractional inventory model of multi-products with price-dependant demand rate in fuzzy environment," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 7(5), pages 547-565.
    2. Barun Das & Manoranjan Maiti, 2012. "A volume flexible fuzzy production inventory model under interactive and simulation approach," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 4(4), pages 422-438.
    3. Sabri, Ehap H. & Beamon, Benita M., 2000. "A multi-objective approach to simultaneous strategic and operational planning in supply chain design," Omega, Elsevier, vol. 28(5), pages 581-598, October.
    4. Sudhansu Khanra & Shib Sankar Sana & Kripasindhu Chaudhuri, 2010. "An EOQ model for perishable item with stock and price dependent demand rate," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 2(3), pages 320-335.
    5. D. Dutta & Pavan Kumar, 2015. "Application of fuzzy goal programming approach to multi-objective linear fractional inventory model," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(12), pages 2269-2278, September.
    6. Jie Min & Yong-Wu Zhou & Gui-Qing Liu & Sheng-Dong Wang, 2012. "An EPQ model for deteriorating items with inventory-level-dependent demand and permissible delay in payments," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(6), pages 1039-1053.
    7. Wee, Hui-Ming & Lo, Chien-Chung & Hsu, Ping-Hui, 2009. "A multi-objective joint replenishment inventory model of deteriorated items in a fuzzy environment," European Journal of Operational Research, Elsevier, vol. 197(2), pages 620-631, September.
    8. Chen, Youhua Frank, 2005. "Fractional programming approach to two stochastic inventory problems," European Journal of Operational Research, Elsevier, vol. 160(1), pages 63-71, January.
    9. S. Banerjee & T. K. Roy, 2010. "Solution of Single and Multiobjective Stochastic Inventory Models with Fuzzy Cost Components by Intuitionistic Fuzzy Optimization Technique," Advances in Operations Research, Hindawi, vol. 2010, pages 1-19, June.
    10. Pentico, David W. & Drake, Matthew J., 2011. "A survey of deterministic models for the EOQ and EPQ with partial backordering," European Journal of Operational Research, Elsevier, vol. 214(2), pages 179-198, October.
    11. Taniya Sarkar Roy & Santanu Kumar Ghosh & Kripasindhu Chaudhuri, 2013. "An economic production quantity model for items with time proportional deterioration under permissible delay in payments," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 5(3), pages 301-316.
    12. Yang, Chih-Te, 2014. "An inventory model with both stock-dependent demand rate and stock-dependent holding cost rate," International Journal of Production Economics, Elsevier, vol. 155(C), pages 214-221.
    13. Harish Garg, 2018. "Analysis of an industrial system under uncertain environment by using different types of fuzzy numbers," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 9(2), pages 525-538, April.
    14. Antara Kundu & Tripti Chakrabarti, 2011. "A production lot-size model with Fuzzy-Ramp type demand and fuzzy deterioration rate under permissible delay in payments," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 3(5), pages 524-540.
    15. Chakrabortty, Susovan & Pal, Madhumangal & Nayak, Prasun Kumar, 2013. "Intuitionistic fuzzy optimization technique for Pareto optimal solution of manufacturing inventory models with shortages," European Journal of Operational Research, Elsevier, vol. 228(2), pages 381-387.
    16. Pando, Valentín & San-José, Luis A. & García-Laguna, Juan & Sicilia, Joaquín, 2013. "An economic lot-size model with non-linear holding cost hinging on time and quantity," International Journal of Production Economics, Elsevier, vol. 145(1), pages 294-303.
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