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All issues Volume 60 / No 2 (March-April 2026) RAIRO-Oper. Res., 60 2 (2026) 877-905 References
Open Access
Issue
RAIRO-Oper. Res.
Volume 60, Number 2, March-April 2026
Page(s) 877 - 905
DOI https://doi.org/10.1051/ro/2026024
Published online 13 April 2026
  • A. Arora, R. Gupta, and R.R. Saxena, A technique to solve transshipment problem with Asymmetric Pentagonal Fuzzy Numbers. RAIRO Oper. Res. 58 (2024) 3487–3499. [Google Scholar]
  • A.Y. Adhami, A. Melethil and F. Ahmad, Neutrosophic programming approach to multilevel decision-making model for supplier selection problem in a fuzzy situation. RAIRO Oper. Res. 57 (2023) 1307–1328. [Google Scholar]
  • S. Aggarwal and C. Gupta, Bi-level multi-objective linear programming under intuitionistic fuzzy environment. Int. J. Pure Appl. Sci. Tech. 17 (2013) 45. [Google Scholar]
  • F. Ahmad, S. Ahmad, A.T. Soliman and M. Abdollahian, Solving multi-level multiobjective fractional programming problem with rough interval parameter in neutrosophic environment. RAIRO Oper. Res. 55 (2021) 2567–2581. [Google Scholar]
  • N.A. Alessa, Bi-level linear programming of intuitionistic fuzzy. Soft Comput. 25 (2021) 8635–8641. [Google Scholar]
  • E.E. Ammar and H.A. Khalifa, Solving fully fuzzy multi-objective linear fractional programming problems based on fuzzy programming approach. J. Fuzzy Math. 27 (2019) 301–311. [Google Scholar]
  • K. Atanassov, Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20 (1986) 87–96. [Google Scholar]
  • A. Barman, V. Shukla, A. Chakraborty and S. Alam, Multi-objective optimization based decision-making process and its application to optimally select suitable greenhouse site for tomato crops. RAIRO Oper. Res. 59 (2025) 877–906. [Google Scholar]
  • S.K. Bharati, A.K. Nishad and S.R. Singh, Solution of multi-objective linear programming problems in intuitionistic fuzzy environment, in Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), Vol. 28–30. Springer, India (2012) 161–171. [Google Scholar]
  • S.K. Bharati and S.R. Singh, Solution of multi-objective linear programming problems in interval-valued intuitionistic fuzzy environment. Soft Comput. 23 (2019) 77–84. [Google Scholar]
  • D. Bhati and P. Singh, Branch and bound computational method for multi-objective linear fractional optimization problem. Neural Comput. Appl. 28 (2017) 3341–3351. [Google Scholar]
  • A. Biswas and A.K. De, An efficient ranking technique for intuitionistic fuzzy numbers with its application in chance constrained bilevel programming. Adv. Fuzzy Syst. 1 (2016) 6475403. [Google Scholar]
  • H.I. Calvete and C. Gale, The bilevel linear/linear fractional programming problem. Eur. J. Oper. Res. 114 (1999) 188–197. [Google Scholar]
  • M. Chakraborty and S. Gupta, Fuzzy mathematical programming for multi objective linear fractional programming problem. Fuzzy Sets Syst. 125 (2002) 335–342. [CrossRef] [Google Scholar]
  • A. Charnes and W.W. Cooper, Programming with linear fractional functionals. Nav. Res. Logist. Q. 9 (1962) 181–186. [CrossRef] [Google Scholar]
  • Y. Collette and P. Siarry, Multiobjective Optimization: principles and Case Studies. Springer Science & Business Media (2004). [Google Scholar]
  • S. Das and D. Guha, A centroid-based ranking method of trapezoidal intuitionistic fuzzy numbers and its application to MCDM problems. Fuzzy Inform. Eng. 8 (2016) 41–74. [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, F.Y. Vincent, S.K. Roy and G.W. Weber, Location-allocation problem for green efficient two-stage vehicle-based logistics system: A type-2 neutrosophic multi-objective modeling approach. Expert Syst. Appl. 238 (2024) 122–174. [Google Scholar]
  • S. Dempe, V. Kalashnikov, G.A. Perez-Valdes and N. Kalashnykova, Bilevel programming problems. Vol. 10 of Energy Systems. Springer, Berlin (2015) 978–3. [Google Scholar]
  • S. Dempe, Bilevel optimization: theory, algorithms, applications and a bibliography. Bilevel Optimization: Advances and Next Challenges (2020) 581–672. [Google Scholar]
  • O.E. Emam, Interactive approach to bi-level integer multi-objective fractional programming problem. Appl. Math. Comput. 223 (2013) 17–24. [Google Scholar]
  • E. Fathy, A new method for solving the linear programming problem in an interval-valued intuitionistic fuzzy environment. Alex. Eng. J. 61 (2022) 10419–10432. [Google Scholar]
  • N. Guzel and M. Sivri, Taylor Series Solution of Multi Objective Linear Fractional Programming Problem. Trak. Univ. J. Sci. 6 (2005) 91–98. [Google Scholar]
  • S. Islam and W.A. Mandal, Fuzzy Geometric Programming Techniques and Applications. Springer, Singapore (2019). [Google Scholar]
  • D.F. Li, A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems. Comput. Math. Appl. 60 (2010) 1557–1570. [Google Scholar]
  • D.F. Li, J.X. Nan and M.J. Zhang, A ranking method of triangular intuitionistic fuzzy numbers and application to decision making. Int. J. Comput. Intell. Syst. 3 (2010) 522–530. [Google Scholar]
  • S.K. Maiti and S.K. Roy, Multi-choice stochastic bi-level programming problem in cooperative nature via fuzzy programming approach. J. Ind. Eng. Int. 12 (2016) 287–298. [Google Scholar]
  • S.K. Maiti and S.K. Roy, Analysing interval and multi-choice bi-level programming for Stackelberg game using intuitionistic fuzzy programming. Int. J. Math. Oper. Res. 16 (2020) 354–375. [CrossRef] [MathSciNet] [Google Scholar]
  • S.K. Maiti, S.K. Roy and G.W. Weber, Gaussian type-2 fuzzy cooperative game based on reduction method: An application to multi-drug resistance problem. J. Dyn. Games. 12 (2025) 215–242. [Google Scholar]
  • S.K. Maiti and S.K. Roy, Bi-level programming for Stackelberg game with intuitionistic fuzzy number: a ranking approach. J. Oper. Res. Soc. of China. 9 (2021) 131–149. [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]
  • D. Mardanya and S.K. Roy, New approach to solve fuzzy multi-objective multi-item solid transportation problem. RAIRO Oper. Res. 57 (2023) 99–120. [Google Scholar]
  • A. Mehra, S. Chandra and C.R. Bector, Acceptable optimality in linear fractional programming with fuzzy coefficients. Fuzzy Opt. Dec. Mak. 6 (2007) 5–16. [Google Scholar]
  • K. Miettinen, Nonlinear Multiobjective Optimization. Springer Science & Business Media (1999) 12. [Google Scholar]
  • S. Mishra, Weighting method for bi-level linear fractional programming problems. Eur. J. Oper. Res. 183 (2007) 296–302. [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. Inform. 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 decision-making problems through compensatory intuitionistic fuzzy mathematical method. J. Comput. Sci. 71 (2023) 102075. [Google Scholar]
  • D. Mollalign, A. Mushi and B. Guta, Solving multi-objective multilevel programming problems using two-phase intuitionistic fuzzy goal programming method. J. Comput. Sci. 63 (2022) 101786. [CrossRef] [Google Scholar]
  • H. Omrani, S. Mohammadi and A. Emrouznejad, A bi-level multi-objective data envelopment analysis model for estimating profit and operational efficiency of bank branches. RAIRO Oper. Res. 53 (2019) 1633–1648. [Google Scholar]
  • B.B. Pal, B.N. Moitra and U. Maulik, A goal programming procedure for fuzzy multiobjective linear fractional programming problem. Fuzzy Sets Syst. 139 (2023) 395–405. [Google Scholar]
  • S.K. Roy and S.K. Maiti, Reduction methods of type-2 fuzzy variables and their applications to Stackelberg game. Appl. Intell. 50 (2020) 1398–1415. [CrossRef] [Google Scholar]
  • D. Sahoo, A.K. Tripathy and J.K. Pati, Study on multi-objective linear fractional programming problem involving pentagonal intuitionistic fuzzy number. Results Control Opt. 6 (2022) 100091. [Google Scholar]
  • S. Schaible, Fractional programming. I duality. Manag. Sci. 22 (1976) 858–867. [Google Scholar]
  • M.R. Seikh, P.K. Nayak and M. Pal, Notes on triangular intuitionistic fuzzy numbers. Int. J. Math. Oper. Res. 5 (2013) 446–465. [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]
  • V.P. Singh, K. Sharma, D. Chakraborty and A. Ebrahimnejad, A novel multi-objective bi-level programming problem under intuitionistic fuzzy environment and its application in production planning problem. Complex Intell. Syst. 8 (2022) 3263–3278. [Google Scholar]
  • I.M. Stancu-Minasian, Fractional Programming: theory, Methods and Applications. Springer Science & Business Media (2012) 409. [Google Scholar]
  • B. Stanojevic, S. Dzitac and I. Dzitac, Fuzzy numbers and fractional programming in making decisions. Int. J. Inform. Tech. Dec. Mak. 19 (2020) 1123–1147. [Google Scholar]
  • M.D. Toksari, Taylor series approach to fuzzy multiobjective linear fractional programming. Inform. Sci. 178 (2008) 1189–1204. [CrossRef] [MathSciNet] [Google Scholar]
  • H.C. Wu, On interval-valued nonlinear programming problems. J. Math. Anal. Appl. 338 (2008) 299–316. [CrossRef] [MathSciNet] [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]
  • H.J. Zimmermann, Description and optimization of fuzzy systems. Int. J. General Syst. 2 (1975) 209–215. [Google Scholar]

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