A Fuzzy Goal Programming Approach to Multiobjective Transportation Problems

References

• Kaur A, Kumar A. A new method for solving fuzzy transportation problems using ranking function. Appl Math Model. 2011;35:5652–5661. doi: 10.1016/j.apm.2011.05.012
   Web of Science ®Google Scholar
• Hitchcock FL. Distribution of a product from several sources to numerous locations. J Math Phys. 1941;20:224–230. doi: 10.1002/sapm1941201224
   Google Scholar
• Charnes A, Cooper WW, Henderson A. An introduction to linear programming. New York: Wiley; 1953.
   Google Scholar
• Dantzig GB. Linear programming and extensions. Princeton: Princeton University Press; 1963.
   Google Scholar
• Diaz JA. Solving multiobjective transportation problem. Ekonomicko-matematicky Obzor. 1978;14:267–274.
   Google Scholar
• Ehrgott M. Multicriteria optimization. Berlin: Springer; 2005.
   Google Scholar
• Melin P, Sanchez D. Multi-objective optimization for modular granular neural networks applied to pattern recognition. Inf Sci. 2018;460-461:594–610. doi: 10.1016/j.ins.2017.09.031
   Web of Science ®Google Scholar
• Rivaz S, Yaghoobi MA. Some results in interval multiobjective linear programming for recognizing different solutions. OPSEARCH. 2015;52:75–85. doi: 10.1007/s12597-013-0167-9
   Web of Science ®Google Scholar
• Diaz JA. Finding a complete description of all efficient solutions to a multiobjective transportation problem. Ekonomicko-matematicky Obzor. 1979;15:62–73.
   Google Scholar
• Isermann H. The enumeration of all efficient solutions for a linear multiple-objective transportation problem. Nav Res Logist Q. 1979;26:123–139. doi: 10.1002/nav.3800260112
   Google Scholar
• Ringuest JL, Rinks DB. Interactive solutions for the linear multiobjective transportation problem. Eur J Oper Res. 1987;32:96–106. doi: 10.1016/0377-2217(87)90274-8
   Web of Science ®Google Scholar
• Current J, Min H. Multiobjective design of transportation networks: taxonomy and annotation. J Oper Res. 1986;26:187–201. doi: 10.1016/0377-2217(86)90180-3
   Google Scholar
• Zadeh LA. Fuzzy sets. Inf Control. 1965;8:338–353. doi: 10.1016/S0019-9958(65)90241-X
   Web of Science ®Google Scholar
• Bellman RE, Zadeh LA. Decision-making in fuzzy environment. Manage Sci. 1937;17:149–156.
   Google Scholar
• Abd El-Wahed WF. A multiobjective transportation problem under fuzziness. Fuzzy Sets Syst. 2001;117:27–33. doi: 10.1016/S0165-0114(98)00155-9
   Web of Science ®Google Scholar
• Ammar EE, Youness EA. Study on multiobjective transportation problem with fuzzy numbers. Appl Math Comput. 2005;166:241–253.
   Web of Science ®Google Scholar
• Bit AK, Biswal MP, Alam SS. Fuzzy programming approach to multicriteria decision making transportation problem. Fuzzy Sets Syst. 1992;50:135–141. doi: 10.1016/0165-0114(92)90212-M
   Web of Science ®Google Scholar
• Li LS, Lai KK. A fuzzy approach to the multiobjective transportation problem. Comp Oper Res. 2000;27:43–57. doi: 10.1016/S0305-0548(99)00007-6
   Web of Science ®Google Scholar
• Ochoa P, Castillo O, Soria J. Optimization of fuzzy controller design using a differential evolution algorithm with dynamic parameter adaptation based on type-1 and interval type-2 fuzzy systems. Soft Comput. 2020;24:193–214. doi: 10.1007/s00500-019-04156-3
   Web of Science ®Google Scholar
• Ramzannia-Keshteli G, Nasseri SH. Solving flexible fuzzy multi-objective linear programming problems: feasibility and efficiency concept of solutions. Punjab Univ J Math. 2019;51:19–31.
   Web of Science ®Google Scholar
• Roy SK, Midya S. Multi-objective fixed-charge solid transportation problem with product blending under intuitionistic fuzzy environment. Appl Intell. 2019;49:3524–3538. doi: 10.1007/s10489-019-01466-9
   Web of Science ®Google Scholar
• Santiago A, Dorronsoro B, Nebro AJ, et al. A novel multi-objective evolutionary algorithm with fuzzy logic based adaptive selection of operators: FAME. Inf Sci. 2019;471:233–251. doi: 10.1016/j.ins.2018.09.005
   Web of Science ®Google Scholar
• Charnes A, Cooper WW. Management models and industrial applications of linear programming. New York: Wiley; 1961.
   Google Scholar
• Aenaida RS, Kwak NW. A linear goal programming for transshipment problems with flexible supply and demand constraints. Fuzzy Sets Syst. 1994;45:215–224.
   Google Scholar
• Aouni B, Colapinto C, Torre DL. Financial portfolio management through the goal programming model: current state-of-the-art. Eur J Oper Res. 2014;234:536–545. doi: 10.1016/j.ejor.2013.09.040
   Web of Science ®Google Scholar
• Charnes A, Cooper WW. Goal programming and multiobjective optimizations. Eur J Oper Res. 1997;1:39–54. doi: 10.1016/S0377-2217(77)81007-2
   Google Scholar
• Chen L, Peng J, Zhang B. Uncertain goal programming models for bicriteria solid transportation problem. Appl Soft Comput. 2017;51:49–59. doi: 10.1016/j.asoc.2016.11.027
   Web of Science ®Google Scholar
• Jones DF, Tamiz M. Practical goal programming. New York: Springer; 2010.
   Google Scholar
• Nasseri SH, Ramzannia-Keshteli G. A goal programming approach for fuzzy flexible linear programming problems. Iran J Oper Res. 2018;9:1–28.
   Google Scholar
• Nomani MA, Ali I, Ahmed A. A new approach for solving multi-objective transportation problems. Int J Manag Sci Eng Manag. 2017;12:165–173.
   Google Scholar
• Ramzannia-Keshteli G, Nasseri SH. A multi-parametric approach to solve flexible multi-choice goal programming. Punjab Univ J Math. 2019;51:93–108.
   Web of Science ®Google Scholar
• Rivaz S, Yaghoobi MA, Hladik M. (2015). Goal programming approach for solving interval MOLP problems. 8th Small Workshop on Interval Methods, Prague, Czech Republic.
   Google Scholar
• Abd El Wahed WF, Lee SM. Interactive fuzzy goal programming for multi-objective transportation problems. Omega. 2006;34:158–166. doi: 10.1016/j.omega.2004.08.006
   Web of Science ®Google Scholar
• Zangiabadi M, Maleki HR. Fuzzy goal programming for multiobjective transportation problems. J Appl Math Comp. 2007;24:449–460. doi: 10.1007/BF02832333
   Google Scholar
• Zangiabadi M, Maleki HR. Fuzzy goal programming technique to solve multiobjective transportation problems with some non-linear membership functions. Iran J Fuzzy Syst. 2013;10:61–74.
   Web of Science ®Google Scholar
• Chen LH, Tsai FC. Fuzzy goal programming with different importance and priorities. Eur J Oper Res. 2001;133:548–556. doi: 10.1016/S0377-2217(00)00201-0
   Web of Science ®Google Scholar
• Hannan EL. On fuzzy goal programming. Decis Sci. 1981;12:522–531. doi: 10.1111/j.1540-5915.1981.tb00102.x
   Google Scholar
• Tiwari RN, Dharmar S, Rao JR. Fuzzy goal programming: an additive model. Fuzzy Sets Syst. 1987;24:27–34. doi: 10.1016/0165-0114(87)90111-4
   Web of Science ®Google Scholar
• Yaghoobi MA, Jones DF, Tamiz M. Weighted additive models for solving fuzzy goal programming problems. Asia-Pacific J Oper Res. 2008;25:715–733. doi: 10.1142/S0217595908001973
   Web of Science ®Google Scholar