An Integrated Approach Based on 2-Tuple Fuzzy Representation and QFD for Supplier Selection

  • Mehtap Dursun
  • E. Ertugrul KarsakEmail author
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 247)


With its need to trade-off multiple criteria exhibiting vagueness and imprecision, supplier selection is an important multi-criteria decision making problem. Vague and imprecise judgments inherent in numerous features of supplier selection justify the use of linguistic assessments rather than exact numerical values. In this chapter, a novel fuzzy multi-criteria group decision making approach integrating fusion of fuzzy information, 2-tuple linguistic representation model, and quality function deployment (QFD) is proposed for supplier selection. The developed fuzzy decision making approach employs ordered weighted averaging (OWA) operator and the aggregation process is based on combining information by means of fuzzy sets on a basic linguistic term set (BLTS). Afterwards, the collective performance values are transformed into linguistic 2-tuples to rectify the problem of loss of information encountered using other linguistic approaches. A supplier selection problem reported in an earlier study is used to illustrate the computational procedure of the proposed framework.


Decision support systems Fusion of fuzzy information OWA QFD Supplier selection 2-tuple linguistic modeling 



This work was financially supported by Galatasaray University Research Fund under Grant 10.402.018.


  1. 1.
    Boer L, Labro E, Morlacchi P (2001) A review of methods supporting supplier selection. Eur J Purch Supply Manag 7:75–89CrossRefGoogle Scholar
  2. 2.
    Dickson G (1966) An analysis of vendor selection systems and decisions. J Purch 2:28–41Google Scholar
  3. 3.
    Amid A, Ghodsypour SH, O’Brien C (2009) A weighted additive fuzzy multiobjective model for the supplier selection problem under price breaks in a supply Chain. Int J Prod Econ 121:323–332CrossRefGoogle Scholar
  4. 4.
    Chen CM (2009) A fuzzy-based decision-support model for rebuy procurement. Int J Prod Econ 122:714–724CrossRefGoogle Scholar
  5. 5.
    Díaz-Madroñero M, Peidro D, Vasant P (2010) Vendor selection problem by using an interactive fuzzy multi-objective approach with modified S-curve membership functions. Comput Math Appl 60(4):1038–1048MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    Wang JW, Cheng CH, Kun-Cheng H (2009) Fuzzy hierarchical TOPSIS for supplier selection. Applied Soft Computing 9:377–386CrossRefGoogle Scholar
  7. 7.
    Awasthi A, Chauhan SS, Goyal SK (2010) A fuzzy multicriteria approach for evaluating environmental performance of suppliers. Int J Prod Econ 126:370–378CrossRefzbMATHGoogle Scholar
  8. 8.
    Sanayei A, Mousavi SF, Yazdankhah A (2010) Group decision making process for supplier selection with VIKOR under fuzzy environment. Expert Syst Appl 37:24–30CrossRefGoogle Scholar
  9. 9.
    Sevkli M (2010) An application of the fuzzy ELECTRE method for supplier selection. Int J Prod Res 48(12):3393–3405CrossRefzbMATHGoogle Scholar
  10. 10.
    Kang HY, Lee AHI, Yang CY (2012) A fuzzy ANP model for supplier selection as applied to IC packaging. J Intell Manuf 23(5):1477–1488CrossRefGoogle Scholar
  11. 11.
    Wang SY (2008) Applying 2-tuple multi-granularity linguistic variables to determine the supply performance in dynamic environment based on product-oriented strategy. IEEE Trans Fuzzy Syst 16:29–39CrossRefGoogle Scholar
  12. 12.
    Wang WP (2010) A fuzzy linguistic computing approach to supplier evaluation. Appl Math Model 34:3130–3141CrossRefzbMATHGoogle Scholar
  13. 13.
    Onesime OCT, Xiaofei X, Dechen XZ (2004) A decision support system for supplier selection process. Int J Inf Technol Decis Mak 3(3):453–470CrossRefGoogle Scholar
  14. 14.
    Bevilacqua M, Ciarapica FE, Giacchetta G (2006) A fuzzy-QFD approach to supplier selection. J Purchas Supply Manag 12:14–27CrossRefGoogle Scholar
  15. 15.
    Bhattacharya A, Geraghty J, Young P (2010) Supplier selection paradigm: An integrated hierarchical QFD methodology under multiple-criteria environment. Appl Soft Comput 10:1013–1027CrossRefGoogle Scholar
  16. 16.
    Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353MathSciNetCrossRefzbMATHGoogle Scholar
  17. 17.
    Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning-I. Inf Sci 8(3):199–249MathSciNetCrossRefzbMATHGoogle Scholar
  18. 18.
    Herrera F, Herrera-Viedma E, Martínez L (2000) A fusion approach for managing multi-granularity linguistic term sets in decision making. Fuzzy Sets Syst 114:43–58CrossRefzbMATHGoogle Scholar
  19. 19.
    Yager RR (1988) On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE T Syst Man Cyb 18:183–190MathSciNetCrossRefzbMATHGoogle Scholar
  20. 20.
    Zarghami M, Szidarovszky F (2008) Fuzzy quantifiers in sensitivity analysis of OWA operator. Comput Ind Eng 54:1006–1018CrossRefGoogle Scholar
  21. 21.
    Herrera F, Martínez L (2000) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 8:746–752CrossRefGoogle Scholar
  22. 22.
    Fan ZP, Feng B, Sun YH, Ou W (2009) Evaluating knowledge management capability of organizations: a fuzzy linguistic method. Expert Systems Appl 36:3346–3354CrossRefGoogle Scholar
  23. 23.
    Herrera F, Martínez L (2001) A model based on linguistic 2-tuples for dealing with multigranular hierarchical linguistic contexts in multi-expert decision-making. IEEE Trans Syst, Man, Cybern—Part B: Cybern 31:227–234CrossRefGoogle Scholar
  24. 24.
    Herrera F, Martínez L (2000) An approach for combining linguistic and numerical information based on 2-tuple fuzzy representation model in decision-making. Int J Uncertainty Fuzziness Knowl-Based Syst 8:539–562CrossRefzbMATHGoogle Scholar
  25. 25.
    Herrera-Viedma E, Herrera F, Martínez L, Herrera JC, López AG (2004) Incorporating filtering techniques in a fuzzy linguistic multi-agent model for information gathering on the web. Fuzzy Sets Syst 148:61–83CrossRefzbMATHGoogle Scholar
  26. 26.
    Dursun M, Karsak EE (2012) Supplier selection using an integrated decision making approach based on QFD and 2-tuple fuzzy representation. Lecture notes in engineering and computer science: Proceedings of the world congress on engineering and computer science 2012, WCECS 2012, 24-26 October, 2012, USA, p 1309–1315Google Scholar
  27. 27.
    Karsak EE (2008) Robot selection using an integrated approach based on quality function deployment and fuzzy regression. Int J Prod Res 46:723–738CrossRefzbMATHGoogle Scholar
  28. 28.
    Revelle JB, Moran JW, Cox CA (1998) The QFD Handbook. Wiley, New YorkGoogle Scholar
  29. 29.
    Jiang YP, Fan ZP, Ma J (2008) A method for group decision making with multi granularity linguistic assessment information. Inf Sci 178:1098–1109CrossRefzbMATHGoogle Scholar
  30. 30.
    Fung RYK, Tang J, Tu Y, Wang D (2002) Product design resources optimization using a non-linear fuzzy quality function deployment model. Int J Prod Res 40:585–599CrossRefzbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Industrial Engineering DepartmentGalatasaray University IstanbulTurkey

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