A modified TOPSIS approach for solving stochastic fuzzy multi-level multi-objective fractional decision making problem
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Abo-Sinna, M.A., Amer, A.H.: TOPSIS approach for solving bi-level non-linear fractional MODM problems. J. Adv. Math. 13, 7353–7370 (2018)
Baky, I.A.: Interactive TOPSIS algorithms for solving multi-level non-linear multi-objective decision-making problems. Appl. Math. Model. 38, 1417–1433 (2014)
Baky, I.A.: Solving multi-level multi-objective linear programming problems through fuzzy goal programming approach. Appl. Math. Model. 34(9), 2377–2387 (2010)
Lachhwani, K.: Modified FGP approach for multi-level multi objective linear fractional programming problems. Appl. Math. Comput. 266, 1038–1049 (2015)
Chen, L.H., Chen, H.H.: A two-phase fuzzy approach for solving multi-level decision-making problems. Knowl. Based Syst. 76, 189–199 (2015)
Osman, M.S., Emam, O.E., El Sayed, M.A.: Stochastic fuzzy multi-level multi-objective fractional programming problem: a FGP approach. OPSEARCH 54(4), 816–840 (2017)
Pramanik, S., Roy, T.K.: Fuzzy goal programming approach to multi-level programming problems. Eur. J. Oper. Res. 176(2), 1151–1166 (2007)
Shih, H.S., Lai, Y.J., Lee, E.S.: Fuzzy approach for multi-level programming problems. Comput. Oper. Res. 23(1), 73–91 (1996)
Sinha, S.: Fuzzy mathematical programming applied to multi-level programming problems. Comput. Oper. Res. 30, 1259–1268 (2003)
Sinha, S.: Fuzzy programming approach to multi-level programming problems. Fuzzy Sets Syst. 136, 189–202 (2003)
Sakawa, M., Nishizaki, I., Uemura, Y.: Interactive fuzzy programming for two-level linear fractional programming problems with fuzzy parameters. Fuzzy Sets Syst. 115, 93–103 (2000)
Ahlatcioglu, M., Tiryaki, F.: Interactive fuzzy programming for decentralized two-level linear fractional programming (DTLLFP) problems. Omega 35, 432–450 (2007)
Bhati, D., Singh, P.: Branch and bound computational method for multi-objective linear fractional optimization problem. Neural Comput. Appl. (2016). https://doi.org/10.1007/s00521-016-2243-6
Pal, B.B., Moitra, B.N., Maulik, U.: A goal programming procedure for fuzzy multi-objective linear fractional programming problem. Fuzzy Sets Syst. 139(2), 395–405 (2003)
Guzel, N.: A proposal to the solution of multi-objective linear fractional programming problem. Abstr. Appl. Anal. (2013). https://doi.org/10.1155/2013/435030
Baky, I.A., Eid, M.H., Elsayed, M.A.: Bi-level multi-objective programming problem with fuzzy demands: a fuzzy goal programming algorithm. OPSEARCH 51(2), 280–296 (2014)
Osman, M.S., Emam, O.E., El Sayed, M.A.: Interactive approach for multi-level multi-objective fractional programming problems with fuzzy parameters. Beni-Suef J. Basic Appl. Sci. 7(1), 139–149 (2018)
Osman, M.S., Emam, O.E., El Sayed, M.A.: On parametric multi-level multi-objective fractional programming problems with fuzziness in the constraints. Brit. J. Math. Comput. Sci. 18(5), 1–19 (2016)
Arora, S.R., Gupta, R.: Interactive fuzzy goal programming approach for bi-level programming problem. Eur. J. Oper. Res. 194(2), 368–376 (2009)
Abo-Sinna, M.A., Amer, A.H.: Extensions of TOPSIS for multi-objective large-scale nonlinear programming problems. Appl. Math. Model. 162, 243–256 (2000)
Chen, C.T.: Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets Syst. 114, 1–9 (2000)
Hwang, C.L., Yoon, K.: Multiple Attribute Decision Making: Methods and Applications. Springer, Heidelberg (1981)
Elsisy, M.A., El Sayed, M.A.: Fuzzy rough bi-level multi-objective non-linear programming problems. Alexandria Eng. J. 58, 1471–1482 (2019)
Hulsurkar, S., Biswal, M.P., Sinha, S.B.: fuzzy programming approach to multi-objective stochastic linear programming problems. Fuzzy Sets Syst. 88, 173–181 (1997)
Nayak, S., Ojha, A.K.: An approach of fuzzy and TOPSIS to bi-level multi-objective nonlinear fractional programming problem. Soft. Comput. (2018). https://doi.org/10.1007/s00500-018-3217-7
Nayak, S., Ojha, A.K.: A solution approach to multi-level nonlinear fractional programming problem. In: Kar, S., Maulik, U., Li, X. (eds.) Operations Research and Optimization. Springer Proceedings in Mathematics & Statistics, vol. 225. Springer, Berlin (2018). https://doi.org/10.1007/978-981-10-7814-9_3
Dey, P.P., Pramanik, S., Giri, B.C.: TOPSIS approach to linear fractional bi-level MODM problem based on fuzzy goal programming. J. Ind. Eng. Int. 10, 173–184 (2014)
Baky, I.A., Abo-Sinna, M.A.: TOPSIS for bi-level MODM problems. Appl. Math. Model. 37, 1004–1015 (2013)
Baky, I.A., Elsayed, M.A.: Bi-level multi-objective programming problems with fuzzy parameters: modified TOPSIS approach. Int. J. Manag. Fuzzy Syst. 2(5), 38–50 (2014)
Lee, E.S., Li, R.J.: Fuzzy multiple objective programming with Pareto optimum. Fuzzy Sets Syst. 53, 275–288 (1993)
Osman, M.S., Emam, O.E., El Sayed, M.A.: Solving multi-level multi-objective fractional programming problems with fuzzy demands via FGP approach. Int. J. Appl. Comput. Math. 4(1), 4–41 (2018)
Iskander, M.G.: using different dominance criteria in stochastic fuzzy linear multi-objective programming: a case of fuzzy weighted objective function. Math. Comput. Model. 37, 167–176 (2003)
Iskander, M.G.: a possibility programming approach for stochastic fuzzy multi-objective linear fractional programs. Comput. Math. Appl. 48, 1603–1609 (2004)
Mohamed, R.H.: The relationship between goal programming and fuzzy programming. Fuzzy Sets Syst. 89, 215–222 (1997)