IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v160y2019icp39-54.html
   My bibliography  Save this article

Fuzzy efficient iterative method for multi-objective linear fractional programming problems

Author

Listed:
  • Arya, Rubi
  • Singh, Pitam

Abstract

Various algorithms have been developed for the solution of Multi-objective linear fractional programming problems. An iterative approach is suggested by Valipour et al. (2014). Further, a fuzzy parametric iterative method is proposed by Arya and Singh (2017) and they proposed a more informative and fuzzy efficient solution set. In these two methods, the decision maker is bound to select an initial solution in the feasible region which is very difficult to search. In this article, an iterative fuzzy approach is proposed to search fuzzy efficient solution set for multi-objective linear fractional programming (MOLFP) problems. This approach is based on randomly generated fuzzy parametric preferences in the interval [0, 1] and the fuzzy efficient solution is obtained with the percentage of satisfaction for each objective. Some theoretical results are established for the validation of the proposed method. In the proposed method, Decision Maker (DM) can select the percentage of satisfaction degree for each objective function according to your own choices and fuzzy efficient solution set can be generated. The computational experiments show that the method is more informative and it performs better than the existing methods.

Suggested Citation

  • Arya, Rubi & Singh, Pitam, 2019. "Fuzzy efficient iterative method for multi-objective linear fractional programming problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 160(C), pages 39-54.
    • Handle: RePEc:eee:matcom:v:160:y:2019:i:c:p:39-54
    DOI: 10.1016/j.matcom.2018.11.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475418303082
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2018.11.013?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Caballero, Rafael & Hernandez, Monica, 2006. "Restoration of efficiency in a goal programming problem with linear fractional criteria," European Journal of Operational Research, Elsevier, vol. 172(1), pages 31-39, July.
    2. Costa, Joao Paulo, 2007. "Computing non-dominated solutions in MOLFP," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1464-1475, September.
    3. Dutta, D. & Rao, J. R. & Tiwari, R. N., 1993. "A restricted class of multiobjective linear fractional programming problems," European Journal of Operational Research, Elsevier, vol. 68(3), pages 352-355, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jing Du & Hongyue Wu & Ruoyu Jin, 2019. "Capital Structure of Public–Private Partnership Projects: A Sustainability Perspective," Sustainability, MDPI, vol. 11(13), pages 1-25, June.
    2. Anuradha Sahoo & Minakshi Panda, 2024. "Optimization techniques for crisp and fuzzy multi-objective static inventory model with Pareto front," OPSEARCH, Springer;Operational Research Society of India, vol. 61(4), pages 2242-2284, December.
    3. Sun, J. & Li, Y.P. & Suo, C. & Liu, J., 2020. "Development of an uncertain water-food-energy nexus model for pursuing sustainable agricultural and electric productions," Agricultural Water Management, Elsevier, vol. 241(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tunjo Perić & Josip Matejaš & Zoran Babić, 2023. "Advantages, sensitivity and application efficiency of the new iterative method to solve multi-objective linear fractional programming problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(3), pages 751-767, September.
    2. Abbas Amini Fasakhodi & Seyed Nouri & Manouchehr Amini, 2010. "Water Resources Sustainability and Optimal Cropping Pattern in Farming Systems; A Multi-Objective Fractional Goal Programming Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(15), pages 4639-4657, December.
    3. Charles, V. & Udhayakumar, A. & Rhymend Uthariaraj, V., 2010. "An approach to find redundant objective function(s) and redundant constraint(s) in multi-objective nonlinear stochastic fractional programming problems," European Journal of Operational Research, Elsevier, vol. 201(2), pages 390-398, March.
    4. João Costa & Maria Alves, 2013. "Enhancing computations of nondominated solutions in MOLFP via reference points," Journal of Global Optimization, Springer, vol. 57(3), pages 617-631, November.
    5. Arevalo Quijada, Mª Teresa & Zapata Reina, Asunción, 1996. "La programación fraccionada múltiple: tratamiento del problema de la producción," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 6, pages 5-24, Diciembre.
    6. Lara, P. & Stancu-Minasian, I., 1999. "Fractional programming: a tool for the assessment of sustainability," Agricultural Systems, Elsevier, vol. 62(2), pages 131-141, November.
    7. V. Charles & D. Dutta, 2006. "Extremization of multi-objective stochastic fractional programming problem," Annals of Operations Research, Springer, vol. 143(1), pages 297-304, March.
    8. Hladík, Milan, 2010. "Generalized linear fractional programming under interval uncertainty," European Journal of Operational Research, Elsevier, vol. 205(1), pages 42-46, August.
    9. Metev, Boyan & Gueorguieva, Dessislava, 2000. "A simple method for obtaining weakly efficient points in multiobjective linear fractional programming problems," European Journal of Operational Research, Elsevier, vol. 126(2), pages 386-390, October.
    10. Jiao, Hong-Wei & Liu, San-Yang, 2015. "A practicable branch and bound algorithm for sum of linear ratios problem," European Journal of Operational Research, Elsevier, vol. 243(3), pages 723-730.
    11. 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.
    12. Chergui, M. E-A & Moulai, M., 2007. "An exact method for a discrete multiobjective linear fractional optimization," MPRA Paper 12097, University Library of Munich, Germany, revised 09 Jan 2008.
    13. S. Morteza Mirdehghan & Hassan Rostamzadeh, 2016. "Finding the Efficiency Status and Efficient Projection in Multiobjective Linear Fractional Programming: A Linear Programming Technique," Journal of Optimization, Hindawi, vol. 2016, pages 1-8, September.
    14. Davtalab-Olyaie, Mostafa & Asgharian, Masoud, 2021. "On Pareto-optimality in the cross-efficiency evaluation," European Journal of Operational Research, Elsevier, vol. 288(1), pages 247-257.
    15. Zerdani, Ouiza & Moulai, Mustapha, 2011. "Optimization over an integer efficient set of a Multiple Objective Linear Fractional Problem," MPRA Paper 35579, University Library of Munich, Germany.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:160:y:2019:i:c:p:39-54. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.