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A Hybrid Fuzzy-Intelligent System for Group Multi-Attribute Decision Making

Abstract

This paper aims to solve a multi-attribute decision making (MADM) problem under a group decision making and fuzzy environment. To do so, firstly a consensus model is proposed to increase consensus level within experts. Secondly, as the main contribution of this paper, it proposes a hybrid approach which employs both fuzzy rule-based system and preference ranking organization method for enrichment evaluations (PROMETHEE) to rank alternatives. One advantage of MADM techniques is to provide decision maker’s (DM) preferences and utilities. To do so, we model DM’s utilities using fuzzy logic and then implement it in PROMETHEE method. As a case-based problem, this study makes an investigation into supplier selection problem as a critical objective of purchasing departments and effective task toward successful logistic and supply chain management. Validity and robustness of the proposed approach is demonstrated with several numerical examples, sensitivity analysis and comparison with some other approaches.

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References

  1. Hwang, C.L., Yoon, K.: Multiple Attribute Decision Making: Methods and Applications. Springer, New York (1981)

    Book  MATH  Google Scholar 

  2. Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning. Inf. Sci. 8, 199–249(I), 301–357(II) (1975)

  3. Chen, C.T.: Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets Syst. 114(1), 1–9 (2000)

    Article  MATH  Google Scholar 

  4. Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)

    MathSciNet  Article  MATH  Google Scholar 

  5. Mardani, A., Jusoh, A., Zavadskas, E.K.: Fuzzy multiple criteria decision-making techniques and applications—two decades review from 1994 to 2014. Expert Syst. Appl. 42(8), 4126–4148 (2015)

    Article  Google Scholar 

  6. Ashtiani, B., Haghighirad, F., Makui, A.: Extension of fuzzy TOPSIS method based on interval-valued fuzzy sets. Appl. Soft Comput. 9, 457–461 (2009)

    Article  Google Scholar 

  7. Liao, C.-N., Kao, H.P.: An integrated fuzzy TOPSIS and MCGP approach to supplier selection in supply chain management. Expert Syst. Appl. 38, 10803–10811 (2011)

    Article  Google Scholar 

  8. Kam, K., Yuen, F.: Combining compound linguistic ordinal scale and cognitive pairwise comparison in the rectified fuzzy TOPSIS method for group decision making. Fuzzy Optim. Decis. Mak. 13(1), 105–130 (2014)

    MathSciNet  Article  Google Scholar 

  9. Kahraman, C., Cebeci, U., Ulukan, Z.: Multi-criteria supplier selection using fuzzy AHP. Logist. Inf. Manag. 16, 382–394 (2003)

    Article  Google Scholar 

  10. Ramík, J., Perzina, R.: A method for solving fuzzy multi-criteria decision problems with dependent criteria. Fuzzy Optim. Decis. Mak. 9(2), 123–141 (2010)

    MathSciNet  Article  MATH  Google Scholar 

  11. Chen, Z., Yang, W.: An MAGDM based on constrained FAHP and FTOPSIS and its application to supplier selection. Math. Comput. Model. 54, 2802–2815 (2011)

    MathSciNet  Article  MATH  Google Scholar 

  12. Yu, M.-C., Keng, I., Chen, H.-X.: Measuring service quality via a fuzzy analytical approach. Int. J. Fuzzy Syst. (2015). doi:10.1007/s40815-015-0006-7

    Google Scholar 

  13. Chen, L.Y., Wang, T.-C.: Optimizing partners’ choice in IS/IT outsourcing projects: the strategic decision of fuzzy VIKOR. Int. J. Prod. Econ. 120, 233–242 (2009)

    Article  Google Scholar 

  14. Park, J.H., Cho, H.J., Kwun, Y.C.: Extension of the VIKOR method for group decision making with interval-valued intuitionistic fuzzy information. Fuzzy Optim. Decis. Mak 10(3), 233–253 (2011)

    MathSciNet  Article  MATH  Google Scholar 

  15. Sanayei, A., Mousavi, S.F., Yazdankhah, A.: Group decision making process for supplier selection with VIKOR under fuzzy environment. Expert Syst. Appl. 37, 24–30 (2010)

    Article  Google Scholar 

  16. Sevkli, M.: An application of the fuzzy ELECTRE method for supplier selection. Int. J. Prod. Res. 48, 3393–3405 (2010)

    Article  MATH  Google Scholar 

  17. Rouyendegh, B.D., Erkan, T.E.: An application of the fuzzy ELECTRE method for academic staff selection. Hum Factors Ergon. Manuf. Serv. Ind. 23, 107–115 (2013)

    Article  Google Scholar 

  18. Kang, H.Y., Lee, A.H., Yang, C.Y.: A fuzzy ANP model for supplier selection as applied to IC packaging. J. Intell. Manuf. 23, 1477–1488 (2012)

    Article  Google Scholar 

  19. Vinodh, S., Ramiya, R.A., Gautham, S.: Application of fuzzy analytic network process for supplier selection in a manufacturing organisation. Expert Syst. Appl. 38, 272–280 (2011)

    Article  Google Scholar 

  20. Pang, B., Bai, S.: An integrated fuzzy synthetic evaluation approach for supplier selection based on analytic network process. J. Intell. Manuf. 24, 163–174 (2013)

    Article  Google Scholar 

  21. Chen, Y.H., Wang, T.C., Wu, C.Y.: Strategic decisions using the fuzzy PROMETHEE for IS outsourcing. Expert Syst. Appl. 38, 13216–13222 (2011)

    MathSciNet  Article  Google Scholar 

  22. Gupta, R., Sachdeva, A., Bhardwaj, A.: Selection of logistic service provider using fuzzy PROMETHEE for a cement industry. J. Manuf. Technol. Manag. 23, 899–921 (2012)

    Article  Google Scholar 

  23. Chen, T.Y.: IVIF-PROMETHEE outranking methods for multiple criteria decision analysis based on interval-valued intuitionistic fuzzy sets. Fuzzy Optim. Decis. Mak. (2014). doi:10.1007/s10700-014-9195-z

    Google Scholar 

  24. Tao, Z., Chen, H., Zhou, L., Liu, J.: A generalized multiple attributes group decision making approach based on intuitionistic fuzzy sets. Int. J. Fuzzy Syst. 16(2), 184–195 (2014)

    MathSciNet  Google Scholar 

  25. Gong, Y.: Fuzzy multi-attribute group decision making method based on interval type-2 fuzzy sets and applications to global supplier selection. Int. J. Fuzzy Syst. 15(4), 392–400 (2013)

    MathSciNet  Google Scholar 

  26. Yu, D.: Group decision making under multiplicative hesitant fuzzy environment. Int. J. Fuzzy Syst. 16(2), 233–241 (2014)

    Google Scholar 

  27. Brans, J.P., Mareschal, B., Vincke, P.: PROMETHEE: a new family of outranking methods in multi-criteria analysis. In: Brans, J.P. (ed.) Operational Research, pp. 408–421. Elsevier Science Publishers B.V, North-Holland (1984)

    Google Scholar 

  28. Brans, J.P., Vincke, P.: A preference ranking organization method (The PROMETHEE method for MCDM). Manag. Sci. 31(6), 647–656 (1985)

    MathSciNet  Article  MATH  Google Scholar 

  29. Behzadian, M., Kazemzadeh, R.B., Albadvi, A., Aghdasi, M.: PROMETHEE: a comprehensive literature review on methodologies and applications. Eur. J. Oper. Res. 200, 198–215 (2010)

    Article  MATH  Google Scholar 

  30. Araz., C., Ozkarahan, I.: Supplier evaluation and management system for strategic sourcing based on a new multi criteria sorting procedure. Int. J. Prod. Econ. 106, 585–606 (2007)

    Article  Google Scholar 

  31. Chai, J., Liu, J.N.K., Xu, Z.: A new rule-based sir approach to supplier selection under intuitionistic fuzzy environments. Int. J. Uncertain. Fuzziness Knowl. Based Syst. 20, 451–471 (2012)

    Article  MATH  Google Scholar 

  32. Dagdeviren, M.: Decision making in equipment selection: an integrated approach with AHP and PROMETHEE. J Intell. Manuf. 19, 397–406 (2008)

    Article  Google Scholar 

  33. Taha, Z., Rostam, S.: A hybrid fuzzy AHP-PROMETHEE decision support system for machine tool selection in flexible manufacturing cell. J. Intell. Manuf. 23, 2137–2149 (2012)

    Article  Google Scholar 

  34. Behzadian, M., Motlagh, S.M.H., Ignatius, J., Goh, M., Sepehri, M.M.: PROMETHEE group decision support system and the house of quality. Group Decis. Negot. 22, 189–205 (2013)

    Article  Google Scholar 

  35. Hashemian, S.M., Behzadian, M., Samizadeh, R., Ignatius, J.: A fuzzy hybrid group decision support system approach for the supplier evaluation process. Int. J. Adv. Manuf. Technol. (2014). doi:10.1007/s00170-014-5843-2

    Google Scholar 

  36. Chen, T.Y.: A PROMETHEE-based outranking method for multiple criteria decision analysis with interval type-2 fuzzy sets. Soft. Comput. 18(5), 923–940 (2014)

    Article  MATH  Google Scholar 

  37. Ghazinoory, S., Daneshmand-Mehr, M., Arasti, M.R.: Developing a model for integrating decisions in technology road mapping by fuzzy PROMETHEE. J. Intell. Fuzzy Syst. 26, 625–645 (2014)

    Google Scholar 

  38. Tavana, M., Hatami-Marbini, A.: A group AHP-TOPSIS framework for human spaceflight mission planning at NASA. Expert Syst. Appl. 38, 13588–13603 (2011)

    Google Scholar 

  39. Zhou, X., Li, Q.: Generalized hesitant fuzzy prioritized einstein aggregation operators and their application in group decision making. Int. J. Fuzzy Syst. 16(3), 303–316 (2014)

    Google Scholar 

  40. Herrera-Viedma, E., Cabrerizo, F.J., Kacprzyk, J., Pedrycz, W.: A review of soft consensus models in a fuzzy environment. Inf. Fusion 17, 4–13 (2014)

    Article  Google Scholar 

  41. Jiang, Y., Xu, Z., Yua, X.: Compatibility measures and consensus models for group decision making with intuitionistic multiplicative preference relations. Appl. Soft Comput. 13, 2075–2086 (2013)

    Article  Google Scholar 

  42. Zhang, L., Li, T., Xu, X.: Consensus model for multiple criteria group decision making under intuitionistic fuzzy environment. Knowl. Based Syst. 57, 127–135 (2014)

    MathSciNet  Article  Google Scholar 

  43. Herrera-Viedma, E., Martínez, L., Mata, F., Chiclana, F.: A consensus support system model for group decision making problems with multi-granular linguistic preference relations. IEEE Trans. Fuzzy Syst. 13(5), 644–658 (2005)

    Article  Google Scholar 

  44. Cabrerizo, F.J., Moreno, J.M., Perez, I.J., Herrera-Viedma, E.: Analyzing consensus approaches in fuzzy group decision making: advantages and drawbacks. Soft Comput. 14(5), 451–463 (2010)

    Article  Google Scholar 

  45. Wei, S. H. Chen, S. M.: A new similarity measure between generalized fuzzy numbers. In Proceedings of the Joint 3rd International Conference on Soft Computing and Intelligent Systems and 7th International Symposium on Advanced Intelligent Systems. Tokyo, pp 315–320 (2006)

  46. Mamdani, E.H., Assilian, S.: An experiment in linguistic synthesis with a fuzzy logic controller. Int. J. Man Mach. Stud. 7, 1–13 (1975)

    Article  MATH  Google Scholar 

  47. Chen, T.C., Ching, T.L., Sue, F.H.: A fuzzy approach for supplier evaluation and selection in supply chain management. Int. J. Prod. Econ. 102, 289–301 (2006)

    Article  Google Scholar 

  48. Li, R.J.: Fuzzy method in group decision making. Comput. Math Appl. 38, 91–101 (1999)

    MathSciNet  Article  MATH  Google Scholar 

  49. Anisseh, M., Piri, F., Shahraki, M.R., Agamohamadi, F.: Fuzzy extension of TOPSIS model for group decision making under multiple criteria. Artif. Intell. Rev. 38, 325–338 (2012)

    Article  Google Scholar 

  50. Boran, F.E., Genç, S., Kurt, M., Akay, D.: A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method. Expert Syst. Appl. 36, 11363–11368 (2009)

    Article  Google Scholar 

  51. Herrera, F., Herrera-Viedma, E., Martinez, L.: A fusion approach for managing multi-granularity linguistic term sets in decision making. Fuzzy Sets Syst. 114, 43–58 (2000)

    Article  MATH  Google Scholar 

  52. You, X.Y., You, J.X., Liu, H.C., Zhen, L.: Group multi-criteria supplier selection using an extended VIKOR method with interval 2-tuple linguistic information. Expert Syst. Appl. 42, 1906–1916 (2015)

    Article  Google Scholar 

  53. Herrera, F., Herrera-Viedma, E.: Linguistic decision analysis steps for solving decision problems under linguistic information. Fuzzy Sets Syst. 115, 67–82 (2000)

    MathSciNet  Article  MATH  Google Scholar 

  54. Liu, H.C., Liu, L., Liu, N., Mao, L.X.: Risk evaluation in failure mode and effects analysis with extended VIKOR method under fuzzy environment. Expert Syst. Appl. 39, 12926–12934 (2012)

    Article  Google Scholar 

  55. Montgomery, D.C.: Design and Analysis of Experiments. Wiley, New York (1991)

    MATH  Google Scholar 

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Correspondence to Amin Mahmoudi.

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Mahmoudi, A., Sadi-Nezhad, S. & Makui, A. A Hybrid Fuzzy-Intelligent System for Group Multi-Attribute Decision Making. Int. J. Fuzzy Syst. 18, 1117–1130 (2016). https://doi.org/10.1007/s40815-016-0173-1

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  • DOI: https://doi.org/10.1007/s40815-016-0173-1

Keywords

  • Multi-attribute decision making
  • PROMETHEE
  • Fuzzy systems
  • Consensus