Abstract
In supply chain management, one of the important criteria is the selection of suitable suppliers. It is the quality and the timely supply of the different items by the supplier, so that the customers are satisfied to maintain the success of a business. In this paper, we considered a fuzzy multi-objective linear programming solution model for a supplier selection problem. In the model, first, the objectives and constraints are weighted using TOPSIS method; and then, using these weights, membership function for objective functions are constructed. Now, applying the membership function and weights, the multi-objective programming problem is transformed to an equivalent linear programming problem for getting the solution of the multi-criteria supplier selection problem. The proposed algorithm provides better performance results in comparison to other methods available in the literature.
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References
Abdullah L, Ismail WKW (2012) Hamming distance in intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets: a comparative analysis. Adv Comput Math Appl 1(1):7–11
Amid A, Ghodsypour SH, O’Brien C (2006) Fuzzy multi-objective linear model for supplier selection in a supply chain. Int J Prod Econ 104:394–407
Amid A, Ghodsypour SH, O’Brien C (2009) A weighted additive fuzzy multi-objective model for the supplier selection problem under price breaks in a supply chain. Int J Prod Econ 121(2):323–332
Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96
Atanassov K, Gargov G (1989) Interval-valued intuitionistic fuzzy sets. Fuzzy Sets Syst 31:343–349
Bharati SK, Malhotra R (2017) Two stage intuitionistic fuzzy time minimizing transportation problem based on generalized Zadeh’s extension principle. Int J Syst Assur Eng Manag 8(2):1442–1449
Bharati SK, Abhishekh, Singh SR (2017) A computational algorithm for the solutions of fully fuzzy multi-objective linear programming problem. Int J Dyn Control. https://doi.org/10.1007/s40435-017-0355-1
Boran FE, Genc S, Kurt M, Akay D (2009) A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method. Expert Syst Appl 36(8):11363–11368
Burillo P, Bustince H (1992) Estructuras Algebraicas en Conjuntos intuicionistas Fuzzy, II Congreso Español sobre Tecnolog as y L ogica Fuzzy. Boadilla del Monte Madrid 135–146
Ceballos B, Lamata MT, Pelta DA (2016) A comparative analysis of multi-criteria decision-making methods. Prog Arti Intell 5:315–322
Chen CT (2000) Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets Syst 114:1–9
Chen CT, Lin CT, Huang SF (2006) A fuzzy approach for supplier evaluation and selection in supply chain management. Int J Prod Econ 102:289–301
Dickson GW (1966) An analysis of vendor selection systems and decision. J Purch 2(1):5–17
Gautam SS, Abhishekh Singh SR (2016) TOPSIS for multi criteria decision making in intuitionistic fuzzy environment. Int J Comput Appl 156(8):42–49
Hájek P (1998) Metamathematics of fuzzy logic, vol. 4, Springer Science and Business Media
Hwang CL, Yoon KS (1981) Multiple attribute decision making methods and applications. Springer, Heidelberg, Germany
Izadikhan M (2012) Group decision making process for supplier selection with TOPSIS method under interval-valued intuitionistic fuzzy numbers. Adv Fuz Syst 2011:2
Jahanshahloo GR, Hosseinzadeh LF, Izadikhah M (2006) Extension of the TOPSIS method for decision-making problems with fuzzy data. Appl Math Comput 181(2):1544–1551
Kumar M, Vrat P, Shankar R (2006) A fuzzy programming approach for vendor selection problem in supply chain. Int J Prod Econ 101:273–285
Önüt S, Kara SS, Isık E (2009) Long term supplier selection using a combined fuzzy MCDM approach: a case study for a telecommunication company. Expert Syst Appl 36(2):3887–3895
Park JH, Park IY, Kwun YC, Tan X (2011) Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment. Appl Math Model 35(5):2544–2556
Tiwari RN, Dharmahr S, Rao JR (1987) Fuzzy goal programming-an additive model. Fuzzy Sets Syst 24(1):27–34
Wang W, Liu X (2012) Intuitionistic fuzzy information aggregation using Einstein operations. IEEE Trans Fuzzy Syst 20(5):923–938
Weber CA, Current JR, Benton WC (1991) Vendor selection criteria and methods. Eur J Oper Res 50(1):2–18
Ye F (2010) An extended TOPSIS method with interval-valued intuitionistic fuzzy numbers for virtual enterprise partner selection. Expert Syst Appl 37(10):7050–7055
Yucel A, Guneri AF (2011) A weighted additive fuzzy programming approach for multi-criteria supplier selection. Expert Syst Appl 38:6281–6286
Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353
Zarandi MF, Saghiri S (2003) A comprehensive fuzzy multi-objective model for supplier selection process. In: Fuzzy systems FUZZ’03, the 12th IEEE international conference on 2003 May 25 1:368–373
Zimmermann HJ (1978) Fuzzy programming and linear programming with several objective functions. Fuzzy Sets Syst 1(1):45–55
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Gautam, S.S., Abhishekh & Singh, S.R. An improved-based TOPSIS method in interval-valued intuitionistic fuzzy environment. Life Cycle Reliab Saf Eng 7, 81–88 (2018). https://doi.org/10.1007/s41872-018-0042-z
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DOI: https://doi.org/10.1007/s41872-018-0042-z