Skip to main content
SpringerLink
Log in

Multi-objective interval fractional programming problems : An approach for obtaining efficient solutions

  • Theoretical Article
  • Published:
OPSEARCH Aims and scope Submit manuscript

Abstract

This paper addresses a general multi-objective fractional programming problem whose parameters in the objective functions and constraints are intervals. Existence of the efficient solution of this model is studied. A methodology is developed to determine its efficient solutions. This methodology is illustrated through a numerical example.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bector, C., Chandra, S., Husain, I.: Optimality conditions and duality in subdifferentiable multiobjective fractional programming.J. Optoelectron. Adv. Mater. 79(1), 105–125 (1993)

    Google Scholar 

  2. Bhurjee, A., Panda, G.: Efficient solution of interval optimization problem.Mathatical Methods Oper. Res. 76((3)), 273–288 (2012)

    Article  Google Scholar 

  3. Chanas, S., Kuchta, D.: Multiobjective programming in optimization of interval objective functions a generalized approach.Eur. J. Oper. Res. 94((3)), 594–598 (1996)

    Article  Google Scholar 

  4. Egudo, R. R.: Multiobjective fractional duality.Bull. Aust. Math. Soc. 37((3)), 367–378 (1988)

    Article  Google Scholar 

  5. Hladik, M.: Generalized linear fractional programming under interval uncertainty. Eur. J. Oper. Res. 205, 42–46 (2010)

    Article  Google Scholar 

  6. Kuk, H., Lee, G., Tanino, T.: Optimality and duality for nonsmooth multiobjective fractional programming with generalized invexity.J. Math. Anal. Appl. 262((1)), 365–375 (2001)

    Article  Google Scholar 

  7. Liang, Z. A., Huang, H. X., Pardalos, P. M.: Efficiency conditions and duality for a class of multiobjective fractional programming problems. J. Glob. Optim. 27(4), 447–471 (2003)

    Article  Google Scholar 

  8. Oliveira, C., Antunes, C.: An interactive method of tackling uncertainty in interval multiple objective linear programming. J. Math. Sci. 161(6), 854–866 (2009)

    Article  Google Scholar 

  9. Oliveira, C., Antunes, C. H.: Multiple objective linear programming models with interval coefficients an illustrated overview.Eur. J. Oper. Res. 181((3)), 1434–1463 (2007)

    Article  Google Scholar 

  10. Osuna Gomez, R., Rufixan-Lizana, A., Ruiz-Canales, P.: Multiobjective fractional programming with generalized convexity. Top 8(1), 97–110 (2000)

    Article  Google Scholar 

  11. Rivaz, S., Yaghoobi, M.: Minimax regret solution to multiobjective linear programming problems with interval objective functions coefficients.CEJOR 21((3)), 625–649 (2013)

    Article  Google Scholar 

  12. Sakawa, M., Yano, H.: An interactive fuzzy satisficing method for multiobjective linear fractional programming problems. Fuzzy Sets Syst. 28(2), 129–144 (1988)

    Article  Google Scholar 

  13. Schaible, S.: Fractional programming. i, duality. Manag. Sci. 22((8)), 858–867 (1976)

    Article  Google Scholar 

  14. Urli, B., Nadeau, R.: An interactive method to multiobjective linear programming problem with interval coefficients. INFOR 30, 127–137 (1992)

    Google Scholar 

  15. Wu, H. C.: The karush-kuhn-tucker optimality conditions in multiobjective programming problems with interval-valued objective functions.Eur. J. Oper. Res. 196((1)), 49 – 60 (2009)

    Article  Google Scholar 

Download references

Acknowledgments

The authors thank the anonymous referees whose justified critical remarks on the original version led to an essential improvement of the paper.

Author information

Authors and Affiliations

  1. Research Scholar, Indian Institute of Technology Kharagpur, WB-721302, Kharagpur, India

    Ajay Kumar Bhurjee

  2. Faculty of Mathematics, Department of Mathematics, Indian Institute of Technology Kharagpur, WB-721302, Kharagpur, India

    Geetanjali Panda

Authors
  1. Ajay Kumar Bhurjee
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Geetanjali Panda
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Geetanjali Panda.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bhurjee, A.K., Panda, G. Multi-objective interval fractional programming problems : An approach for obtaining efficient solutions. OPSEARCH 52, 156–167 (2015). https://doi.org/10.1007/s12597-014-0175-4

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12597-014-0175-4

Keywords

Search

Navigation