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Study of a bi-objective EOQ model with parabolic demand function in intuitionistic cloudy uncertain environment

Author

Listed:
  • Suman Maity

    (Raja N.L. Khan Women’s College (Autonomous))

  • Sujit Kumar De

    (Midnapore College (Autonomous))

  • Madhumangal Pal

    (Vidyasagar University)

  • Biswajit Sarkar

    (Yonsei University)

Abstract

Every company uses their best strategies to dominate others in the market and gets more profit. This study develops a bi-objective inventory problem where the several demand patterns have been analyzed under multiple fuzzy systems. First of all, we develop a crisp model through a case study of two laptop companies (I and II) considering the demand as a parabolic curve of time variable. The utility function method has been employed to solve the crisp model. After that, the model is converted to a fuzzy model by considering the total inventory cost of each company as triangular intuitionistic cloudy fuzzy number (TICFN). Various sub-models have been analyzed considering three cases and eight subcases depending on the intersection of two parabolic demand curves. A comparative study between crisp and other fuzzy models has been discussed here. The numerical study reveals that the decision-making with TICFN approach is more beneficial for any inventory practitioner. Because, the average profit gain is found to be 2.62% with respect to the applications of other fuzzy numbers. Moreover, the % ranges of total inventory cost variations for company I is found to be [− 39.86, 54.44] and that for company II it lies in [− 60.92, 60.92] exclusively.

Suggested Citation

  • Suman Maity & Sujit Kumar De & Madhumangal Pal & Biswajit Sarkar, 2025. "Study of a bi-objective EOQ model with parabolic demand function in intuitionistic cloudy uncertain 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. 16(10), pages 3409-3429, October.
    • Handle: RePEc:spr:ijsaem:v:16:y:2025:i:10:d:10.1007_s13198-025-02863-9
    DOI: 10.1007/s13198-025-02863-9
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