Abstract
In this paper, we propose a grey-based rough set approach to deal with the supplier selection in supply chain management. The proposed approach takes advantage of mathematical analysis power of grey system theory while at the same time utilizing data mining and knowledge discovery power of rough set theory. It is suitable to the decision-making under more uncertain environments. We also provide a viewpoint on the attribute values in rough set decision table under the condition that all alternatives are described by linguistic variables that can be expressed in grey number. The most suitable supplier can be determined by grey relational analysis based on grey number. A case of supplier selection was used to validate the proposed approach.
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References
Chan FTS, Chan HK (2004) Development of the supplier selection model-a case study in the advanced technology industry. J Eng Manuf 218:1807–1824
Khurrum SB, Faizul H (2002) Supplier selection problem: a comparison of the total cost of ownership and analytic hierarchy process approaches. Int J Supply Chain Manage 7(3):126–135
Monczka R, Trent R, Handfield R (1998) Purchasing and supply chain management. South-Western College Publishing, New York
Dickson GW (1966) An analysis of vendor selection systems and decisions. J Purch 2:5–17
Delgado M, Verdegay JL, Vila MA (1992) Linguistic decision-making models. Int J Intell Syst 7:479–492
Hwang CL, Yong K (1981) Multiple attributes decision-making methods and applications. Springer, Berlin Heidelberg New York
Kaufmann A, Gupta MM (1991) Introduction to fuzzy arithmetic: theory and applications. Van Nostrand Reinhold, New York
Bellman RE, Zadeh LA (1970) Decision-making in a fuzzy environment. Manage Sci 17(4):141–164
Chen CT (2000) Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets Syst 114:1–9
Delgado M, Verdegay JL, Vial MA (1992) Linguistic decision-making models. Int J Intell Syst 7:479–492
Herrera F, Herrera-Viedma E (2000) Linguistic decision analysis: Steps for solving decision problem under linguistic information. Fuzzy Sets Syst 115:67–82
Yang CC, Chen BS (2006) Supplier selection using combined analytical hierarchy process and grey relational analysis. J Manuf Technol Manage 17(7):926–941
Tsai CH, Chang CL, Chen L (2003) Applying grey relational analysis to the vendor evaluation model. Int J Compute Int Manage 11(3):45–53
Dang YG, Liu SY, Liu B (2005) On the multiple-attribute incidence decision model for interval numbers. In: Proc on Networking, Sensing and Control IEEE 711–715
Xia WJ, Wu ZM (2005) Supplier selection with multiple criteria in volume discount environments. Int J Manage Sci
Wang SJ, Hu HA (2005) Application of rough set on supplier’s determination. The Third Annual Conference on Uncertainty, pp 256–262
Wei CQ, Jiao MD (2004) A method of evaluating green degree base on rough set and the technologies of implementation. Compute Technol Automat 23(3):85–88
Man JH, Da QL (2004) Demand integration analysis for supply chain based on rough set view of information entropy and Bayesian interpretation. J Southeast Univ 34(3):402–405
Li SC, Fang HU (2006) An exploration of green evaluation on supplier based on fuzzy rough set. Theory Prac Fin Econ 27(142):97–100
Cao XY, Liang JG (2002) Application rough set theory to selection supplier. Sci Sci Manage S&T 113–115
Sun GZ, Wu ZJ, Yu DW, Liu J (2004) An exploration of green evaluation on supplier based on rough set. Compute Eng Appl 32:190–192
Han JT, Jin XC, Qin Z (2006) Fuzzy evaluation model for result - layer of integration supply chain based on rough set. J Air Force Engineering Univ 7(4):89–91
Huang J, Liu FQ (2005) How to select building material suppliers based on rough set. Logist Technol 1:48–50
Sun Y, Liu W (2003) Method in finding new clients based on attributes’ reductions of rough set and associate analysis of the matter element. J Dalian Maritime Univ 29(4):87–90
Ghodsypour SH, O’Brien C (1998) A decision support system for supplier selection using an integrated analytical hierarchy process and linear programming. Int J Prod Econ 56–57:199–212
Xu XF, Zhan DC, Sha L (2003) An integrated model for supplier selection process. J Harbin Institute Technology 10(1):43–50
De Boer L, Van der Wegen L, Telgen J (1998) Outranking methods in support of supplier selection. Eur J Purch Supply Manag 4(2–3):109–118
Gregory RE (1986) Source selection: a matrix approach. J Purch Mater Manage 22(2):24–29
Li CC, Fun YP, Hung JS (1997) A new measure for supplier performance evaluation. IEE Trans Oper Eng 29:753–758
Soukup WR (1987) Supplier selection strategies. J Purch Mater Manage 23(3):7–12
Thompson K (1990) Vendor profile analysis. J Purch Mater Manage 26(1):11–18
Timmerman E (1986) An approach to vendor performance evaluation. J Purch Suppl Manage 1:27–32
Willis TH, Huston CR, Pohlkamp F (1993) Evaluation measures of just-in-time supplier performance. Prod Invent Manage J, 2nd quarter, 1–5
Barbarosoglu G, Yazgac T (1997) An application of the analytic hierarchy process to the supplier selection problem. Prod Invent Manage J, 1st quarter, 14–21
Narasimhan R (1983) An analytic approach to supplier selection. J Purch Suppl Manage 1:27–32
Narula SC, Vassilev V (1994) An interactive algorithm for solving multiple objective integer linear programming problems. Eur J Oper Res 79:443–450
Nydick RL, Hill RP (1992) Using the analytic hierarchy process to structure the supplier selection procedure. Int J Purch Mater Manage 28(2):31–36
Sarkis J, Talluri S (2000) A model for strategic supplier selection. Ninth Int Conf on IPSERA, pp 652–661
Monezka RM, Trecha SJ (1998) Cost-based supplier performance evaluation. J Purch Mater Manage 24(2):2–7
Smytka DL, Clemens MW (1993) Total cost supplier selection model: a case study. Int J Purch Mater Manage 29(1):42–49
Buffa FP, Jackson WM (1983) A goal programming model for purchase planning. J Purch Mater Manage 19(3):27–34
Chaudhry SS, Forst FG, Zydiak JL (1993) Vendor selection with price breaks. Eur J Oper Res 70:52–66
Das C, Tyagi R (1994) Wholesaler: a decision support system for wholesale procurement and distribution. Int J Phys Distrib Logist Manage 24(10):4–12
Pan AC (1989) Allocation of order quantities among suppliers. J Purch Mater Manage 25(2):36–39
Weber CA, Current JR (1993) A multiobjective approach to vendor selection. Eur J Oper Res 68:173–184
Hajidimitrious YA, Georgiou AC (2002) A decision support system for supplier selection using an integrated analytic hierarchy process and linear programming. Int J Prod Econ 138:649–662
Rosenthal EC, Zydiak JL, Chaudhry SS (1995) Vendor selection with bunding. Decis Sci 26:35–48
Dyer JS, Fishburn PC, Steuer RE, Wallenius J, Zionts S (1992) Multiple criteria decision making, multi attribute utility theory: the next ten years. Manage Sci 38(5):645–654
Khorramshahgol R, Azani H, Gousty Y (1988) An integrated approach to project evaluation and selection. IEEE Trans Eng Manage 35:265–270
Deng JL (1996) Fundamental methods on grey system. Huazhong University of Science and Technology Publishing, China
Pawlak Z (1982) Rough sets. Int J Comput Inf Sci 11:41–56
Pawlak Z (1984) Rough classification. Int J Man-Mach Stud 20:469–483
Polkowski L, Skowron A (1998) Rough sets in knowledge discovery. Physica-Verlag, Heidelberg, 1(2)
Deng JL (1982) Control problems of grey systems. Syst Control Lett 5(2):288–294
Xia J (2000) Grey system theory to hydrology. Huazhong University of Science and Technology Publishing, China
Liu SF, Lin Y (2006) Grey information theory and practical applications. Springer, Berlin Heidelberg New York
Wu HH (2003) A comparative study of using grey relational analysis in multiple attribute decision-making problems. Qual Eng 15(2):209–217
Chiou HK, Tzeng GH (2001) Fuzzy hierarchical evaluation with grey relation model of green engineering for industry. Int J Fuzzy Syst 3(3):466–475
Li GD, Yamaguchi D, Nagai M (2006) A grey-based approach to suppliers selection problem. In: Proc Int Conf on Parallel, Distributed Processing Techniques and Applications 180–186
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Li, GD., Yamaguchi, D. & Nagai, M. A grey-based rough decision-making approach to supplier selection. Int J Adv Manuf Technol 36, 1032–1040 (2008). https://doi.org/10.1007/s00170-006-0910-y
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DOI: https://doi.org/10.1007/s00170-006-0910-y