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Intuitionistic fuzzy optimization technique for Pareto optimal solution of manufacturing inventory models with shortages

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  • Chakrabortty, Susovan
  • Pal, Madhumangal
  • Nayak, Prasun Kumar

Abstract

This paper discusses a manufacturing inventory model with shortages where carrying cost, shortage cost, setup cost and demand quantity are considered as fuzzy numbers. The fuzzy parameters are transformed into corresponding interval numbers and then the interval objective function has been transformed into a classical multi-objective EPQ (economic production quantity) problem. To minimize the interval objective function, the order relation that represents the decision maker’s preference between interval objective functions has been defined by the right limit, left limit, center and half width of an interval. Finally, the transformed problem has been solved by intuitionistic fuzzy programming technique. The proposed method is illustrated with a numerical example and Pareto optimality test has been applied as well.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:228:y:2013:i:2:p:381-387
    DOI: 10.1016/j.ejor.2013.01.046
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    Cited by:

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    2. Ouyang, Yao & Pedrycz, Witold, 2016. "A new model for intuitionistic fuzzy multi-attributes decision making," European Journal of Operational Research, Elsevier, vol. 249(2), pages 677-682.
    3. 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.
    4. Javad Sadeghi & Seyed Taghi Akhavan Niaki & Mohammad Reza Malekian & Saeid Sadeghi, 2016. "Optimising multi-item economic production quantity model with trapezoidal fuzzy demand and backordering: two tuned meta-heuristics," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 10(2), pages 170-195.
    5. Lidia Vesa & Marcel Ioan Boloş & Claudia Diana Sabău-Popa, 2021. "Inventory Decision In Vuca World Using Economic Logic Quantity," Annals of Faculty of Economics, University of Oradea, Faculty of Economics, vol. 1(1), pages 251-267, July.
    6. Umar Muhammad Modibbo & Srikant Gupta & Aquil Ahmed & Irfan Ali, 2024. "An integrated multi-objective multi-product inventory managed production planning problem under uncertain environment," Annals of Operations Research, Springer, vol. 339(3), pages 1679-1723, August.

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