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FGP approach to quadratically constrained multi-objective quadratic fractional programming with parametric functions

Author

Listed:
  • Vandana Goyal

    (Maharishi Markandeshwar (Deemed to be University))

  • Namrata Rani

    (Maharishi Markandeshwar (Deemed to be University))

  • Deepak Gupta

    (Maharishi Markandeshwar (Deemed to be University))

Abstract

This paper presents a quadratically constrained multiobjective quadratic fractional programming model (MOQFPM) and proposed a methodology to obtain a best preferred solution with the help of parametric functions and using fuzzy goal programming. In the initial stage, we obtain a non-fractional optimization model from the multi-objective quadratic fractional programming model by assigning a vector of parameters to fractional functions. Then, in the next stage, we use fuzzy goal programming approach to obtain the best preferred solution for the decision maker to the optimization problem by finding membership functions and aspiration levels of each objective function. This methodology proposes an efficient method to obtain Pareto-optimal solution of MOQFPM.

Suggested Citation

  • Vandana Goyal & Namrata Rani & Deepak Gupta, 2022. "FGP approach to quadratically constrained multi-objective quadratic fractional programming with parametric functions," OPSEARCH, Springer;Operational Research Society of India, vol. 59(2), pages 594-602, June.
    • Handle: RePEc:spr:opsear:v:59:y:2022:i:2:d:10.1007_s12597-021-00545-1
    DOI: 10.1007/s12597-021-00545-1
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    References listed on IDEAS

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    1. Lo, Andrew W. & Mackinlay, A. Craig, 1997. "Maximizing Predictability In The Stock And Bond Markets," Macroeconomic Dynamics, Cambridge University Press, vol. 1(1), pages 102-134, January.
    2. Shen Pei-Ping & Yuan Gui-Xia, 2007. "Global optimization for the sum of generalized polynomial fractional functions," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 65(3), pages 445-459, June.
    3. Chang, Ching-Ter, 2011. "Multi-choice goal programming with utility functions," European Journal of Operational Research, Elsevier, vol. 215(2), pages 439-445, December.
    4. Suvasis Nayak & Akshay Kumar Ojha, 2019. "Solution approach to multi-objective linear fractional programming problem using parametric functions," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 174-190, March.
    5. S. Fallahi & M. Salahi, 2017. "On the complex fractional quadratic optimization with a quadratic constraint," OPSEARCH, Springer;Operational Research Society of India, vol. 54(1), pages 94-106, March.
    6. A. Thamaraiselvi & R. Santhi, 2016. "A New Approach for Optimization of Real Life Transportation Problem in Neutrosophic Environment," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-9, March.
    7. R. Yamamoto & H. Konno, 2007. "An Efficient Algorithm for Solving Convex–Convex Quadratic Fractional Programs," Journal of Optimization Theory and Applications, Springer, vol. 133(2), pages 241-255, May.
    8. Savita Mishra & Ajit Ghosh, 2006. "Interactive fuzzy programming approach to Bi-level quadratic fractional programming problems," Annals of Operations Research, Springer, vol. 143(1), pages 251-263, March.
    9. Werner Dinkelbach, 1967. "On Nonlinear Fractional Programming," Management Science, INFORMS, vol. 13(7), pages 492-498, March.
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