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All issues Volume 60 / No 2 (March-April 2026) RAIRO-Oper. Res., 60 2 (2026) 1179-1206 References
CoDIT 2024-DO_TAP
Open Access
Issue
RAIRO-Oper. Res.
Volume 60, Number 2, March-April 2026
CoDIT 2024-DO_TAP
Page(s) 1179 - 1206
DOI https://doi.org/10.1051/ro/2026017
Published online 06 May 2026
  • D. Agarwal, P. Singh, X. Li and S. Kumari, Optimality criteria for fuzzy-valued fractional multi-objective optimization problem. Soft Comput. 23 (2019) 9049–9067. [Google Scholar]
  • D. Agarwal, P. Singh and M.A. El Sayed, The Karush-Kuhn-Tucker (KKT) optimality conditions for fuzzy-valued fractional optimization problems. Math. Comput. Simul. 205 (2023) 861–877. [Google Scholar]
  • A.H. Amer, An interactive intuitionistic fuzzy non-linear fractional programming problem. Int. J. Appl. Eng. Res. 13 (2018) 8116–8125. [Google Scholar]
  • R. Arya, P. Singh and D. Bhati, A fuzzy based branch and bound approach for multi-objective linear fractional (MOLF) optimization problems. J. Comput. Sci. 24 (2018) 54–64. [Google Scholar]
  • K.T. Atanassov, Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20 (1986) 87–96. [Google Scholar]
  • T.K. Bhatia, A. Kumar and M.K. Sharma, Mehar approach to solve fuzzy linear fractional transportation problems. Soft Comput. 26 (2022) 11525–11551. [Google Scholar]
  • G.R. Bitran and A.G. Novaes, Linear programming with a fractional objective function. Oper. Res. 21 (1973) 22–29. [Google Scholar]
  • M. Borza and A.S. Rambely, An approach based on α-cuts and max-min technique to linear fractional programming with fuzzy coefficients. Iran. J. Fuzzy Syst. 19 (2022) 153–168. [Google Scholar]
  • M. Borza, A.S. Rambely and M. Saraj, Solving linear fractional programming problems with interval coefficients in the objective function. A new approach. Appl. Math. Sci. 6 (2012) 3443–3452. [MathSciNet] [Google Scholar]
  • A. Charnes and W.W. Cooper, Programming with linear fractional functionals. Nav. Res. Logist. Q. 9 (1962) 181–186. [CrossRef] [Google Scholar]
  • A. Chauhan and S. Mahajan, Generalized intuitionistic fuzzy programming for non-linear multiobjective optimization using t-norms and t-conorms, in Proceedings of the IEEE International Conference on Fuzzy Systems. IEEE (2024, June) 1–7. [Google Scholar]
  • A. Chauhan, S. Mahajan, I. Ahmad and S. Al-Homidan, On fuzzy linear fractional programming problems via α-cut-based method with application in transportation sector. Symmetry 15 (2023) 419. [Google Scholar]
  • V. Chinnadurai and S. Muthukumar, Solving the linear fractional programming problem in a fuzzy environment: numerical approach. Appl. Math. Model. 40 (2016) 6148–6164. [Google Scholar]
  • B.D. Craven and B. Mond, The dual of a fractional linear program. J. Math. Anal. Appl. 42 (1973) 507–512. [Google Scholar]
  • S.K. Das and S.A. Edalatpanah, New insight on solving fuzzy linear fractional programming in material aspects. Fuzzy Optim. Modell. 1 (2020) 1–7. [Google Scholar]
  • S.K. Das and T. Mandal, A MOLFP method for solving linear fractional programming under fuzzy environment. Int. J. Res. Ind. Eng. 6 (2017) 202–213. [Google Scholar]
  • S.K. Das, T. Mandal and S.A. Edalatpanah, A new approach for solving fully fuzzy linear fractional programming problems using the multi-objective linear programming. RAIRO-Oper. Res. 51 (2017) 285–297. [Google Scholar]
  • S.K. Das, S.A. Edalatpanah and T. Mandal, A proposed model for solving fuzzy linear fractional programming problem: numerical point of view. J. Comput. Sci. 25 (2018) 367–375. [CrossRef] [MathSciNet] [Google Scholar]
  • W. Dinkelbach, On nonlinear fractional programming. Manage. Sci. 13 (1967) 492–498. [CrossRef] [Google Scholar]
  • A. Ebrahimnejad, S.J. Ghomi and S.M. Mirhosseini-Alizamini, A revisit of numerical approach for solving linear fractional programming problem in a fuzzy environment. Appl. Math. Model. 57 (2018) 459–473. [Google Scholar]
  • M.A. El Sayed and M.A. Abo-Sinna, A novel approach for fully intuitionistic fuzzy multi-objective fractional transportation problem. Alex. Eng. J. 60 (2021) 1447–1463. [CrossRef] [Google Scholar]
  • P.C. Gilmore and R.E. Gomory, A linear programming approach to the cutting stock problem – Part II. Oper. Res. 11 (1963) 863–888. [CrossRef] [Google Scholar]
  • M. Hladík, Generalized linear fractional programming under interval uncertainty. Eur. J. Oper. Res. 205 (2010) 42–46. [Google Scholar]
  • J.R. Isbell and W.H. Marlow, Attrition games. Nav. Res. Logist. Q. 3 (1956) 71–94. [Google Scholar]
  • R. Jagannathan, On some properties of programming problems in parametric form pertaining to fractional programming. Manage. Sci. 12 (1966) 609–615. [Google Scholar]
  • H. Jiao, B. Li, Solving min–max linear fractional programs based on image space branch-and-bound scheme. Chaos Solit. Fractals 164 (2022) 112682. [Google Scholar]
  • N. Kara, H.G. Kockenand and H.G. Akdemir, A fuzzy approach for the intuitionistic multi-objective linear fractional programming problem using a bisection method. J. Comb. Optim. 49 (2025) 26. [Google Scholar]
  • E.E. Kerre, The use of fuzzy set theory in electrocardiological diagnostics. Approx. Reason. Decis. Anal. 20 (1982) 277–282. [Google Scholar]
  • S.T. Liu, Fractional transportation problem with fuzzy parameters. Soft Comput. 20 (2016) 3629–3636. [CrossRef] [Google Scholar]
  • S. Mahajan and S.K. Gupta, On optimistic, pessimistic and mixed approaches under different membership functions for fully intuitionistic fuzzy multiobjective nonlinear programming problems. Expert Syst. Appl. 168 (2020) 114309. [Google Scholar]
  • S. Mahajan and S.K. Gupta, On fully intuitionistic fuzzy multiobjective transportation problems using different membership functions. Ann. Oper. Res. 296 (2021) 211–241. [Google Scholar]
  • S. Mahajan, S.K. Gupta and I. Ahmad, On fuzzy fractional quadratic programming problems with an application in the tourism sector. Appl. Soft Comput. 150 (2023) 111069. [Google Scholar]
  • M. Malik and S.K. Gupta, An Application of fully intuitionistic fuzzy multi-objective linear fractional programming problem in E-education system. Int. J. Fuzzy Syst. 24 (2022) 3544–3563. [Google Scholar]
  • M. Malik and S.K. Gupta, On optimistic, pessimistic and mixed fuzzy-programming based approaches to solve multi-objective fully intuitionistic fuzzy linear fractional programming problems. Ann. Oper. Res. 346 (2025) 1399–1443. [Google Scholar]
  • B. Martos, Andrew and V. Whinston, Hyperbolic programming. Nav. Res. Logist. Q. 11 (1964) 135–155. [Google Scholar]
  • A. Mehra, S. Chandra and C.R. Bector, Acceptable optimality in linear fractional programming with fuzzy coefficients. Fuzzy Optim. Decis. Mak. 6 (2007) 5–16. [Google Scholar]
  • S. Mishra, R.R. Ota and S. Nayak, Nonlinear fuzzy fractional signomial programming problem: a fuzzy geometric programming solution approach. RAIRO-Oper. Res. 57 (2023) 1579–1597. [Google Scholar]
  • D.M. Moges, A.R. Mushi and B.G. Wordofa, A new method for intuitionistic fuzzy multi-objective linear fractional optimization problem and its application in agricultural land allocation problem. Inf. Sci. 625 (2023) 457–475. [Google Scholar]
  • D.M. Moges, B.G. Wordofa and A.R. Mushi, Solving multi-objective linear fractional decentralized bi-level decisionmaking problems through compensatory intuitionistic fuzzy mathematical method. J. Comput. Sci. 71 (2023) 102075. [Google Scholar]
  • S. Nayak and A.K. Ojha, Solution approach to multi-objective linear fractional programming problem using parametric functions. Opsearch 56 (2019) 174–190. [Google Scholar]
  • P. Pandian and M. Jayalakshmi, On solving linear fractional programming problems. Mod. Appl. Sci. 7 (2013) 90. [Google Scholar]
  • B.B. Pal and I. Basu, A goal programming method for solving fractional programming problems via dynamic programming. Optimization 35 (1995) 145–157. [Google Scholar]
  • B. Pop and I. Stancu-Minasian, A method of solving fully fuzzified linear fractional programming problems. J. Appl. Math. Comput. 27 (2008) 227–242. [Google Scholar]
  • R.M. Rizk-Allah, A.E. Hassanien and S. Bhattacharyya, Chaotic crow search algorithm for fractional optimization problems. Appl. Soft Comput. 71 (2018) 1161–1175. [Google Scholar]
  • S. Schaible, Fractional programming. I, duality. Manage. Sci. 22 (1976) 858–867. [Google Scholar]
  • K. Sharma, V. Singh, A. Ebrahimnejad and D. Chakraborty, A novel multi-objective linear fractional optimization model in intuitionistic fuzzy environment and its application in organization planning. SSRN (2022). DOI: 10.2139/ssrn.4054426. [Google Scholar]
  • S.K. Singh and S.P. Yadav, Fuzzy programming approach for solving intuitionistic fuzzy linear fractional programming problem. Int. J. Fuzzy Syst. 18 (2016) 263–269. [Google Scholar]
  • B. Stanojević, A note on “Taylor series approach to fuzzy multiple objective linear fractional programming”. Inf. Sci. 243 (2013) 95–99. [Google Scholar]
  • B. Stanojević, Extension principle-based solution approach to full fuzzy multi-objective linear fractional programming. Soft Comput. 26 (2022) 5275–5282. [Google Scholar]
  • K. Swarup, Linear fractional functionals programming. Oper. Res. 13 (1965) 1029–1036. [CrossRef] [Google Scholar]
  • M.D. Toksarı, Taylor series approach to fuzzy multiobjective linear fractional programming. Inf. Sci. 178 (2008) 1189–1204. [CrossRef] [Google Scholar]
  • C. Veeramani and M. Sumathi, Fuzzy mathematical programming approach for solving fuzzy linear fractional programming problem. RAIRO-Oper. Res. 48 (2014) 109–122. [Google Scholar]
  • G. Yang, X. Li, L. Huo and Q. Liu, A solving approach for fuzzy multi-objective linear fractional programming and application to an agricultural planting structure optimization problem. Chaos Solit. Fractals 141 (2020) 110352. [Google Scholar]
  • P. Yuvashri and A. Saraswathi, Multiobjective linear fractional programming model with equality and inequality constraints under pentagonal intuitionistic fuzzy environment. Opsearch 62 (2025) 1991–2028. [Google Scholar]
  • L.A. Zadeh, Fuzzy sets. Inf. Control. 8 (1965) 338–353. [Google Scholar]
  • H.J. Zimmermann, Fuzzy Set Theory – and its Applications. Springer Science & Business Media (2011). [Google Scholar]

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