References
- Zadeh LA. Fuzzy sets. Inf Control. 1965;8:338–353.
- Tanaka H, Okuda T, Asai K. On fuzzy mathematical programming. J Cybern Syst. 1973;3:37–46.
- Bellman RE, Zadeh LA. Decision making in a fuzzy environment. Manage Sci. 1970;17:B-141–B-164.
- Noori-Skandari MH, Ghaznavi M. An efficient algorithm for solving fuzzy linear programming problems. Neural Processing Letters. 2018;48:1563–1582.
- Zimmermann HJ. Fuzzy programming and linear programming with several objective functions. Fuzzy Sets Syst. 1978;1:45–55.
- Nasseri SH, Ebrahimnejad A. A new approach to duality in fuzzy linear programming. Fuzzy Eng Oper Res. 2010;147:17–29.
- Ghaznavi M, Soleimani F, Hoseinpoor N. Parametric analysis in fuzzy number linear programming problems. Int J Fuzzy Syst. 2016;18:463–477.
- Mahdavi-Amiri N, Nasseri SH, Yazdani A. Fuzzy primal simplex method for solving fuzzy linear programming problems. Iran J Oper Res. 2009;1:68–84.
- Campos L, Verdegay JL. Linear programming problems and ranking of fuzzy numbers. Fuzzy Sets Syst. 1989;32:1–11.
- Mahdavi-Amiri N, Nasseri SH. Duality in fuzzy number linear programming by use of a certain linear ranking function. Appl Math Comput. 2006;180:206–216.
- Ebrahimnejad A, Nasseri SH, Mansourzadeh SM. Modified bounded dual network simplex algorithm for solving minimum cost flow problem with fuzzy costs based on ranking functions. J Intell Fuzzy Syst. 2013;24:191–198.
- Muralidaranand C, Venkateswarlu B. Generalized ranking function for all symmetric fuzzy linear programming problems. J Intell Fuzzy Syst. 2018;20:1–5.
- Roldan L AF, Hierro D, Roldan C, et al. On a new methodology for ranking fuzzy numbers and its application to real economic data. Fuzzy Sets Syst. 2018;21:1–25.
- Xuan Chi HT, Yu VF. Ranking generalized fuzzy numbers based on centroid and rank index. Appl Soft Comput. 2018;18:1–36.
- Atanassov KT. Intuitionistic fuzzy sets. Fuzzy Sets Syst. 1986;20:87–96.
- Nagoorgani A, Ponnalagu K. A method based on intuitionistic fuzzy linear programming for investment strategy. Int J Fuzzy Math Arch. 2016;10:71–81.
- Seikh MR, Nayakand PK, Pal M. Notes on triangular intuitionistic fuzzy numbers. Int J Math Operational Res. 2013;5:446–465.
- Atalik G, Senturk S. A new lexicographic ranking method for triangular intuitionistic fuzzy number based on gergonne point. J Quant Sci. 2019;1:59–73.
- Suresh M, Vengataasalam S, ArunPrakash K. Solving intuitionistic fuzzy linear programming problems by ranking function. J Intell Fuzzy Syst. 2014;27:3081–3087.
- Darehmiraki M. A novel parametric ranking method for intuitionistic fuzzy numbers. Iran J Fuzzy Syst. 2019;16:129–143.
- Das D, De PK. Ranking of intuitionistic fuzzy numbers by new distance measure. J Intell Fuzzy Syst. 2016;30:1099–1107.
- Nayagam VLG, Jeevaraj S, Geetha S. Total ordering for intuitionistic fuzzy numbers. Complexity. 2016;21:54–66.
- Mitchell HB. Ranking intuitionistic fuzzy numbers. Int J Uncertainity Fuzziness Knowledge Based Syst. 2004;12:377–386.
- Sidhu SK, Kumar A. A note on solving intuitionistic fuzzy linear programming problems by ranking function. J Intell Fuzzy Syst. 2016;30:2787–2790.
- Uthra G, Thangavelu K, Shunmugapriya S. Ranking generalized intuitionistic pentagonal fuzzy number by centroidal approach. Int J Math App. 2017;5:589–593.
- Angelov P. Optimization in an intuitionistic fuzzy environment. Fuzzy Sets Syst. 1997;86:299–306.
- Cherian L, Kuriakose AS. Intuitionistic fuzzy optimization for linear programming problems. J Fuzzy Math. 2012;17:139–144.
- Parvathi R, Malathi C. Arithmetic operations on symmetric trapezoidal intuitionistic fuzzy numbers. Int J Soft Comput Eng (IJSCE). 2012;2:268–273.
- Parvathi R, Malathi C. Intuitionistic fuzzy linear programming problems. World Appl Sci J. 2012;17:1802–1807.
- Ejegwa PA, Akowe SO, Otene PM, et al. An overview on intuitionistic fuzzy sets. Int J Sci Technol Res. 2014;3:142–145.
- Dubey D, Mehra A. Linear programming with triangular intuitionistic fuzzy numbers. Adv Intell Syst Res. 2011;1:563–569.
- Nagoorgani A, Ponnalagu K. An approach to solve intuitionistic fuzzy linear programming problem using single step algorithm. Int J Pure Appl Math. 2013;86:819–832.
- Nasseri SH, Goli M. On solving fully intuitionistic fuzzy linear programming problem). The 11th International conference of Iranian operations research society; 2018. p. 140–144.
- Nagoorgani A, Ponnalagu K. Solving linear programming problem in an intuitionistic environment. Proc Heber Int Conf Appl Math Stat HICAMS. 2012;3:29–46.
- Nachammai AL, Thangaraj P. Solving intuitionistic fuzzy linear programming problem by using similarity measures. Eur J Sci Res. 2012;72:204–210.
- Hepzibah RI, Vidhya R. Modified new operations for symmetric trapezoidal intuitionistic fuzzy numbers: An application of diet problem. Int J Fuzzy Math Arch. 2015;9:35–43.
- Sidhu SK. A new approach to solve intuitionistic fuzzy linear programming problems with symmetric trapezoidal intuitionistic fuzzy numbers. Math Theory Model. 2015;5:66–74.
- Nasseri SH, Goli M, Bavandi S. An approach for solving linear programming problem with intuitionistic fuzzy objective coefficient). The 6th Iranian joint congress on fuzzy and intelligent systems; 2018. p. 104–107.
- Prabakaran K, Ganesan K. Duality theory for intuitionistic fuzzy linear programming problems. Int J Civ Eng Technol (IJCIET). 2017;8:546–560.
- Sidhu SK, Kumar A. Mehar methods to solve intuitionistic fuzzy linear programming problems with trapezoidal intuitionistic fuzzy numbers. Perform Predict Anal Fuzzy Reliab Queuing Model Asset Anal. 2019;21:265–282.
- Ramík J, Vlach M. Intuitionistic fuzzy linear programming and duality: a level sets approach. Fuzzy Optim Decis Mak. 2016;15:457–489.
- Ban A. Intuitionistic fuzzy measures. New York: Nova Science Publisheds; 2006.
- Burillo P, Bustince H, Mohedano V, et al. Some definitions of intuitionistic fuzzy number. First Prop Proc First Workshop Fuzzy Based Expert Syst. 1994;5:53–55.
- Grzegorzewski P. Distances and orderings in a family of intuitionistic fuzzy numbers. Proc. of the third conf. of the European Society for fuzzy logic and technology EUSFLAT, 1; 2003. p. 223–227.
- Kabiraj A, Nayak PK, Raha SW. Solving intuitionistic fuzzy linear programming problem. Int J Intell Sci. 2019;9:44–58.
- Nasseri SH, Ebrahimnejad A, Cao BY. Fuzzy linear programming: solution techniques and applications. Switzerland: Springer; 2019.
- Mahdavi-Amiri N, Nasseri SH. Duality results and a dual simplex method for linear programming problems with trapezoidal fuzzy variables. Fuzzy Sets Syst. 2007;158:1961–1978.