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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年7月18日

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  • Suman Maity,
  • Sujit Kumar De,
  • Madhumangal Pal,
  • Biswajit Sarkar

摘要

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.