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

Suman Maity (), Sujit Kumar De (), Madhumangal Pal and Biswajit Sarkar
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Suman Maity: Raja N.L. Khan Women’s College (Autonomous)
Sujit Kumar De: Midnapore College (Autonomous)
Madhumangal Pal: Vidyasagar University
Biswajit Sarkar: Yonsei University

International Journal of System Assurance Engineering and Management, 2025, vol. 16, issue 10, No 13, 3409-3429

Abstract: 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.

Keywords: Bi-objective problem; Intuitionistic cloudy fuzzy number; Utility function; Defuzzification; Optimization (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13198-025-02863-9

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