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Rouben Ranking Function and parametric approach to quadratically constrained multiobjective quadratic fractional programming with trapezoidal fuzzy number coefficients

Author

Listed:
  • Vandana Goyal

    (Maharishi Markandeshwar Engineering College, Mullana)

  • Namrata Rani

    (Maharishi Markandeshwar Engineering College, Mullana)

  • Deepak Gupta

    (Maharishi Markandeshwar Engineering College, Mullana)

Abstract

The present study proposed a procedure to obtain an efficient solution for a programming model which is multiobjective quadratic fractional with trapezoidal fuzzy numbers as coefficients in all the objective functions and constraints. The proposed approach consists of three stages. In the first stage, defuzzification of the coefficients is carried out using the Rouben Ranking Function. Then, in the second stage, a crisp multiobjective quadratic fractional programming model is reconstructed to obtain a non-fractional model based on an iterative parametric approach. In the final stage, this multiobjective non-fractional model is transformed to get a single objective model by applying $$\varepsilon$$ ε -constraint method. This final model is then solved to get a desired solution . Also, an algorithm and flowchart expressing the methodology is given to present a clear picture of the approach. Finally, a numerical illustration expressing the complete approach is given in the end.

Suggested Citation

  • Vandana Goyal & Namrata Rani & Deepak Gupta, 2022. "Rouben Ranking Function and parametric approach to quadratically constrained multiobjective quadratic fractional programming with trapezoidal fuzzy number coefficients," 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. 13(2), pages 923-932, April.
    • Handle: RePEc:spr:ijsaem:v:13:y:2022:i:2:d:10.1007_s13198-021-01363-w
    DOI: 10.1007/s13198-021-01363-w
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    References listed on IDEAS

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    1. Vandana Goyal & Namrata Rani & Deepak Gupta, 2021. "Parametric approach to quadratically constrained multi-level multi-objective quadratic fractional programming," OPSEARCH, Springer;Operational Research Society of India, vol. 58(3), pages 557-574, September.
    2. 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.
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