2,293
Views
2
CrossRef citations to date
0
Altmetric
Research Article

A New Method to Solve Multi-Objective Linear Fractional Problems

&
Pages 323-334 | Received 23 Dec 2020, Accepted 01 Jun 2021, Published online: 05 Jul 2021

References

  • Tanino T, Tanaka T, Inuiguchi M. Multi-objective programming and goal programming: theory and applications. Vol. 21. Berlin: Springer Science & Business Media; 2013.
  • Stancu-Minasian IM. Fractional programming: theory, methods and applications. Vol. 409. Dordrecht: Kluwer Academic Publishers; 1997.
  • Radhakrishnan B, Anukokila P. Fractional goal programming for fuzzy solid transportation problem with interval cost. Fuzzy Inf Eng. 2014;6(3):359–377.
  • Wang Y, Liu L, Guo S, et al. A bi-level multi-objective linear fractional programming for water consumption structure optimization based on water shortage risk. J Clean Prod. 2019;237:117829.
  • Ahmad S, Ullah A, Akgül A, et al. Analysis of the fractional tumour-immune-vitamins model with Mittag-Leffler kernel. Results Phys. 2020;19:103559.
  • Das SK, Edalatpanah SA, Mandal T. Application of linear fractional programming problem with fuzzy nature in industry sector. Filomat. 2020;34(15):5073–5084.
  • Chakraborty M, Gupta S. Fuzzy mathematical programming for multi objective linear fractional programming problem. Fuzzy Sets Syst. 2002;125:335–342.
  • Veeramani C, Sumathi M. Fuzzy mathematical programming approach for solving fuzzy linear fractional programming problem. RAIRO – Oper Res. 2014;48(1):109–122.
  • De PK, Deb M. Solution of multi objective linear fractional programming problem by Taylor series approach. 2015 international conference on man and machine interfacing (MAMI); Bhubaneswar; 2015. p. 1–5.
  • Dinkelbach W. On nonlinear fractional programming. Manage Sci. 1967;13(7):492–498.
  • Güzel N. A proposal to the solution of multiobjective linear fractional programming problem. Abstr Appl Anal. 2013;2013:1–4. 
  • Nayak S, Ojha AK. Solution approach to multi-objective linear fractional programming problem using parametric functions. Opsearch. 2019;56(1):174–190.
  • Pal BB, Moitra BN, Maulik U. A goal programming procedure for fuzzy multiobjective linear fractional programming problem. Fuzzy Sets Syst. 2003;139(2):395–405.
  • Toksari MD. Taylor series approach to fuzzy multiobjective linear fractional programming. Inf Sci. 2008;178:1189–1204.
  • Borza M, Rambely AS, Saraj M. Fuzzy approaches to the multi objectives linear fractional programming problems with interval coefficients. Asian J Math Comput Res. 2015;4:83–94.
  • Nayak S, Ojha AK. Multi-objective linear fractional programming problem with fuzzy parameters. In: Bansal JC, Das KN, Nagar AK, Deep K, Ojha AK, editors. Soft computing for problem solving. Singapore: Springer; 2019. p. 79–90.
  • Borza M, Rambely AS. A linearization to the sum of linear ratios programming problem. Mathematics. 2021;9(9):1004.
  • Liu X, Gao YL, Zhang B, et al. A new global optimization algorithm for a class of linear fractional programming. Mathematics. 2019;7(9):867.
  • Charnes A, Cooper WW. Programming with linear fractional functionals. Nav Res Logist Q. 1962;9(3–4):181–186.
  • Antunes CH, Alves MJ, Clímaco J. Multiobjective linear and integer programming. New York (NY): Springer; 2016.
  • Pramy FA, Islam MA. Determining efficient solutions of multi-objective linear fractional programming problems and application. Open J Optim. 2017;6(4):164–175.
  • Das SK, Mandal T, Edalatpanah SA. A new approach for solving fully fuzzy linear fractional programming problems using the multi-objective linear programming. RAIRO – Oper Res. 2017;51(1):285–297.