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

Author

Listed:
  • Rozy Rani

    (Maharishi Markandeshwar (Deemed to be University)
    Chandigarh Engineering College, Department of Applied Sciences)

  • Vandana Goyal

    (Maharishi Markandeshwar (Deemed to be University))

  • Deepak Gupta

    (Maharishi Markandeshwar (Deemed to be University))

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.

Suggested Citation

  • Rozy Rani & Vandana Goyal & Deepak Gupta, 2025. "Optimizing multi-level decision-making: M-TOPSIS approach for quadratic fractional multiobjective problems," 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(8), pages 2832-2840, August.
    • Handle: RePEc:spr:ijsaem:v:16:y:2025:i:8:d:10.1007_s13198-025-02830-4
    DOI: 10.1007/s13198-025-02830-4
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