Optimizing multi-level decision-making: M-TOPSIS approach for quadratic fractional multiobjective problems

Rozy Rani (), Vandana Goyal () and Deepak Gupta ()
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Rozy Rani: Maharishi Markandeshwar (Deemed to be University)
Vandana Goyal: Maharishi Markandeshwar (Deemed to be University)
Deepak Gupta: Maharishi Markandeshwar (Deemed to be University)

International Journal of System Assurance Engineering and Management, 2025, vol. 16, issue 8, No 12, 2832-2840

Abstract: Abstract This paper discusses the significance of the multi-level multiobjective quadratic fractional programming problem (ML-MOQFPP) within hierarchical organizations and the challenges it faces in achieving success. It introduces the M-TOPSIS approach, which aims to address these challenges by utilizing membership functions and distances of the positive and negative ideal solutions at each level. The primary objective of M-TOPSIS is to maximize membership goals while minimizing deviational variables, thereby obtaining optimal outcomes for decision variables. It elaborates on the problem formulation involving multi-level multiobjective decision-making with quadratic constraints, emphasizing the minimization of fractional quadratic functions at each level through the M-TOPSIS algorithm. Additionally, it provides an illustrative numerical example and algorithm to validate the proposed methodology, concluding with comparative discussions against existing approaches.

Keywords: ML-MOQFPP; Membership function; Modified-TOPSIS approach (M-TOPSIS); Positive ideal solution (PIS); Negative ideal solution (NIS); Multiobjective (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13198-025-02830-4

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