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A solution procedure for multi-objective fully quadratic fractional optimization model

Author

Listed:
  • Namrata Rani

    (Maharishi Markandeshwar (Deemed to be University))

  • Vandana Goyal

    (Maharishi Markandeshwar (Deemed to be University))

  • Deepak Gupta

    (Maharishi Markandeshwar (Deemed to be University))

Abstract

This paper suggests an efficient procedure to search for efficient/satisfactory solution of Multi-objective Fully Quadratic Fractional Optimization Model with fuzzy coefficients using $$\alpha$$ α -level set and FGP approach. Quadratic fractional objectives are hard to handle due to their complex structure and need to be converted into non-fractional form. Till now, Taylor’s series or parametric method is used to employ simpler objectives. But their always exist chance of error due to truncation of infinite series. Here, a new method is induced to have non-fractional fuzzy goals and in the final step, the linear weighted sum of negative deviational variables is minimized to satisfy all objective functions upto maximum possible extent. In the end, an algorithm, flowchart and numerical are also given to clarify the applicability of the suggested approach.

Suggested Citation

  • Namrata Rani & Vandana Goyal & Deepak Gupta, 2021. "A solution procedure for multi-objective fully quadratic fractional optimization model," 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. 12(6), pages 1447-1458, December.
    • Handle: RePEc:spr:ijsaem:v:12:y:2021:i:6:d:10.1007_s13198-021-01366-7
    DOI: 10.1007/s13198-021-01366-7
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    References listed on IDEAS

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    1. Hawaf AbdAlhakim & O. E. Emam & A. A. Abd El-Mageed, 2019. "Architecting a fully fuzzy information model for multi-level quadratically constrained quadratic programming problem," OPSEARCH, Springer;Operational Research Society of India, vol. 56(2), pages 367-389, June.
    2. Amal Mekhilef & Mustapha Moulaï & Wassila Drici, 2021. "Solving multi-objective integer indefinite quadratic fractional programs," Annals of Operations Research, Springer, vol. 296(1), pages 821-840, January.
    3. Avik Pradhan & M.P. Biswal, 2019. "Linear fractional programming problems with some multi-choice parameters," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 34(3), pages 321-338.
    4. 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.
    5. P. Senthil Kumar, 2020. "Algorithms for solving the optimization problems using fuzzy and intuitionistic fuzzy set," 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. 11(1), pages 189-222, February.
    6. Anuj Kumar & Sangeeta Pant & Mangey Ram & Shshank Chaube, 2019. "Multi-objective grey wolf optimizer approach to the reliability-cost optimization of life support system in space capsule," 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. 10(2), pages 276-284, April.
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    Cited by:

    1. Vandana Goyal & Namrata Rani & Deepak Gupta, 2022. "An algorithm for quadratically constrained multi-objective quadratic fractional programming with pentagonal fuzzy numbers," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 32(1), pages 49-71.

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