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Extension of the VIKOR method for group decision making with extended hesitant fuzzy linguistic information

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Abstract

Group decision-making approaches are very important due to the complexity and uncertainty of many real-world decision-making problems. Some of the decision-making problems are defined in qualitative frameworks. Extended hesitant fuzzy linguistic term set (EHFLTS) is proposed as a new and powerful tool for elicitation of hesitant qualitative information in group decision-making process. In this paper, we first introduced the comparison laws and a family of distance and similarity measures for extended hesitant fuzzy linguistic terms (EHFLTs) and EHFLTSs, respectively. Next, we developed the extended hesitant fuzzy linguistic (EHFL)-VIKOR method as a qualitative multi-attributes group decision-making approach based on the EHFLTS distance measures to deal with the qualitative hesitancy in group decision making. Finally, we presented an application example about selection of suitable telecommunications service provider of small- and medium-sized enterprises to verify applicability and validation of proposed method in the process of qualitative group decision making.

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References

  1. Gong Y, Hu N, Zhang J et al (2015) Multi-attribute group decision making method based on geometric Bonferroni mean operator of trapezoidal interval type-2 fuzzy numbers. Comput Ind Eng 81:167–176

    Article  Google Scholar 

  2. Chen X, Zhang H, Dong Y (2015) The fusion process with heterogeneous preference structures in group decision making: a survey. Inf Fusion 24:72–83

    Article  Google Scholar 

  3. Zhang H (2015) A consistency model for group decision making problems with interval multiplicative preference relations. Appl Soft Comput 34:60–71

    Article  Google Scholar 

  4. Yue Z, Jia Y (2015) A group decision making model with hybrid intuitionistic fuzzy information. Comput Ind Eng 87:202–212

    Article  Google Scholar 

  5. Rodriguez RM, Martinez L, Herrera F (2012) Hesitant fuzzy linguistic term sets for decision making. Fuzzy Syst IEEE Trans 20:109–119

    Article  Google Scholar 

  6. Rodríguez RM, Martı L (2013) A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets. Inf Sci 241:28–42

    Article  MathSciNet  Google Scholar 

  7. Dubois DJ (1980) Fuzzy sets and systems: theory and applications. Academic Press, London

    MATH  Google Scholar 

  8. Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96

    Article  Google Scholar 

  9. Miyamoto S (2000) Multisets and fuzzy multisets. In: Soft computing human-centered machine. Springer, Berlin, pp 9–33

    Chapter  Google Scholar 

  10. Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25:529–539

    MATH  Google Scholar 

  11. Zhang Z, Wu C (2014) On the use of multiplicative consistency in hesitant fuzzy linguistic preference relations. Knowl Based Syst 72:13–27

    Article  Google Scholar 

  12. Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning-I. Inf Sci (NY) 249:199–249

    Article  MathSciNet  Google Scholar 

  13. Türkşen IB (2002) Type 2 representation and reasoning for CWW. Fuzzy Sets Syst 127:17–36

    Article  MathSciNet  Google Scholar 

  14. Zhou S, John RI, Chiclana F, Garibaldi JM (2010) On aggregating uncertain information by type-2 OWA operators for soft decision making. Int J Intell Syst 25:540–558

    Article  Google Scholar 

  15. Herrera F, Martínez L (2000) Brief papers. Fuzzy Syst IEEE Trans 8:746–752

    Article  Google Scholar 

  16. Martínez L, Herrera F (2012) An overview on the 2-tuple linguistic model for computing with words in decision making: extensions, applications and challenges. Inf Sci (NY) 207:1–18

    Article  MathSciNet  Google Scholar 

  17. Merigó JM, Gil-Lafuente AM (2013) Induced 2-tuple linguistic generalized aggregation operators and their application in decision-making. Inf Sci (NY) 236:1–16

    Article  MathSciNet  Google Scholar 

  18. Wang JH, Hao J (2006) A new version of 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 14:435–445

    Article  Google Scholar 

  19. Lee L-W, Chen S-M (2015) Fuzzy decision making based on likelihood-based comparison relations of hesitant fuzzy linguistic term sets and hesitant fuzzy linguistic operators. Inf Sci (NY) 294:513–529

    Article  MathSciNet  Google Scholar 

  20. Liao H, Xu Z, Zeng XJ (2014) Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making. Inf Sci (NY) 271:125–142

    Article  MathSciNet  Google Scholar 

  21. Liao H, Xu Z (2015) Approaches to manage hesitant fuzzy linguistic information based on the cosine distance and similarity measures for HFLTSs and their application in qualitative decision making. Expert Syst Appl 42:5328–5336

    Article  Google Scholar 

  22. Liu H, Rodríguez RM (2014) A fuzzy envelope for hesitant fuzzy linguistic term set and its application to multicriteria decision making. Inf Sci (NY) 258:220–238

    Article  MathSciNet  Google Scholar 

  23. Wang JQ, Wang J, Chen QH et al (2014) An outranking approach for multi-criteria decision-making with hesitant fuzzy linguistic term sets. Inf Sci (NY) 280:338–351

    Article  MathSciNet  Google Scholar 

  24. Lee L-W, Chen S-M (2013) Fuzzy decision making based on hesitant fuzzy linguistic term sets. In: Intelligent information database system. Springer, Berlin, pp 21–30

    Chapter  Google Scholar 

  25. Wang J, Wu J, Wang J et al (2014) Interval-valued hesitant fuzzy linguistic sets and their applications in multi-criteria decision-making problems. Inf Sci (NY) 288:55–72

    Article  MathSciNet  Google Scholar 

  26. Meng F, Chen X, Zhang Q (2014) Multi-attribute decision analysis under a linguistic hesitant fuzzy environment. Inf Sci (NY) 267:287–305

    Article  MathSciNet  Google Scholar 

  27. Chen S-M, Hong J-A (2014) Multicriteria linguistic decision making based on hesitant fuzzy linguistic term sets and the aggregation of fuzzy sets. Inf Sci (NY) 286:63–74

    Article  Google Scholar 

  28. Liao H, Xu Z, Zeng X-J, Merigó JM (2015) Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets. Knowl Based Syst 76:127–138

    Article  Google Scholar 

  29. Liu X, Ju Y, Yang S (2014) Some generalized interval-valued hesitant uncertain linguistic aggregation operators and their applications to multiple attribute group decision making. Soft Comput 20:495–510

    Article  Google Scholar 

  30. Wang H (2015) Extended hesitant fuzzy linguistic term sets and their aggregation in group decision making. Int J Comput Intell Syst 8:14–33

    Article  Google Scholar 

  31. Wang H, Xu Z (2015) Some consistency measures of extended hesitant fuzzy linguistic preference relations. Inf Sci (NY) 297:316–331

    Article  MathSciNet  Google Scholar 

  32. Opricovic S, Tzeng GH (2004) Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS. Eur J Oper Res 156:445–455

    Article  Google Scholar 

  33. Park JH, Cho HJ, Kwun YC (2011) Extension of the VIKOR method for group decision making with interval-valued intuitionistic fuzzy information. Fuzzy Optim Decis Mak 10:233–253

    Article  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  35. Akman G (2014) Evaluating suppliers to include green supplier development programs via fuzzy c-means and VIKOR methods. Comput Ind Eng 86:69–82

    Article  Google Scholar 

  36. Chang T-H (2014) Fuzzy VIKOR method: a case study of the hospital service evaluation in Taiwan. Inf Sci (NY) 271:196–212

    Article  Google Scholar 

  37. Geng X, Liu Q (2014) A hybrid service supplier selection approach based on variable precision rough set and VIKOR for developing product service system. Int J Comput Integr Manuf 28:1–14

    Google Scholar 

  38. Kang D, Park Y (2014) Review-based measurement of customer satisfaction in mobile service: sentiment analysis and VIKOR approach. Expert Syst Appl 41:1041–1050

    Article  Google Scholar 

  39. Liu H-C, You J-X, Chen Y-Z, Fan X-J (2014) Site selection in municipal solid waste management with extended VIKOR method under fuzzy environment. Environ Earth Sci 72:4179–4189

    Article  Google Scholar 

  40. Liu HC, You JX, Fan XJ, Chen YZ (2014) Site selection in waste management by the VIKOR method using linguistic assessment. Appl Soft Comput J 21:453–461

    Article  Google Scholar 

  41. Mokhtarian MN, Sadi-nezhad S, Maku A (2014) A new flexible and reliable IVF-TOPSIS method based on uncertainty risk reduction in decision making process. Appl Soft Comput 23:509–520

    Article  Google Scholar 

  42. Pourebrahim S, Hadipour M, Bin Mokhtar M, Taghavi S (2014) Application of VIKOR and fuzzy AHP for conservation priority assessment in coastal areas: case of Khuzestan district, Iran. Ocean Coast Manag 98:20–26

    Article  Google Scholar 

  43. Kim Y, Chung E-S (2015) Robust prioritization of climate change adaptation strategies using the VIKOR method with objective weights. JAWRA J Am Water Resour Assoc 51:1167–1182

    Article  Google Scholar 

  44. Büyüközkan G, Görener A (2015) Evaluation of product development partners using an integrated AHP-VIKOR model. Kybernetes 44:220–237

    Article  Google Scholar 

  45. Liao H, Xu Z (2013) A VIKOR-based method for hesitant fuzzy multi-criteria decision making. Fuzzy Optim Decis Mak 12:373–392

    Article  MathSciNet  Google Scholar 

  46. Zhang N, Wei G (2013) Extension of VIKOR method for decision making problem based on hesitant fuzzy set. Appl Math Model 37:4938–4947

    Article  MathSciNet  Google Scholar 

  47. Mandal S, Singh K, Behera RK et al (2015) Human error identification and risk prioritization in overhead crane operations using HTA, SHERPA and fuzzy VIKOR method. Expert Syst Appl 42:7195–7206

    Article  Google Scholar 

  48. Nazam M, Ahmad J, Javed MK, et al (2013) A fuzzy multi-criteria group decision making model for measuring risks in a supply chain using extended VIKOR method. Proc Ninth Int Conf Manag Sci Eng Manag 185:1465–1476

    Google Scholar 

  49. Qin J, Liu X, Pedrycz W (2015) An extended VIKOR method based on prospect theory for multiple attribute decision making under interval type-2 fuzzy environment. Knowledge-Based Syst 86:116–130

    Article  Google Scholar 

  50. Rostamzadeh R, Govindan K, Esmaeili A, Sabaghi M (2015) Application of fuzzy VIKOR for evaluation of green supply chain management practices. Ecol Indic 49:188–203

    Article  Google Scholar 

  51. Yazdani M, Payam AF (2015) A comparative study on material selection of microelectromechanical systems electrostatic actuators using Ashby, VIKOR and TOPSIS. Mater Des 65:328–334

    Article  Google Scholar 

  52. Yavuz M, Oztaysi B, Onar SC, Kahraman C (2015) Multi-criteria evaluation of alternative-fuel vehicles via a hierarchical hesitant fuzzy linguistic model. Expert Syst Appl 42:2835–2848

    Article  Google Scholar 

  53. Xu Z (2004) Uncertain multi-attribute decision making. Springer, Berlin

    Google Scholar 

  54. Montes R, Sánchez AM, Villar P, Herrera F (2015) A web tool to support decision making in the housing market using hesitant fuzzy linguistic term sets. Appl Soft Comput 35:12–15

    Article  Google Scholar 

  55. Xu Z (2004) A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Inf Sci (NY) 166:19–30

    Article  MathSciNet  Google Scholar 

  56. Xu Z, Wang H (2017) On the syntax and semantics of virtual linguistic terms for information fusion in decision making. Inf Fusion 34:43–48

    Article  Google Scholar 

  57. Farhadinia B (2013) A novel method of ranking hesitant fuzzy values for multiple attribute decision-making problems. Int J Intell Syst 28:752–767

    Article  Google Scholar 

  58. Beg I, Rashid T (2013) TOPSIS for hesitant fuzzy linguistic term sets. Int J Intell Syst 28:1162–1171

    Article  Google Scholar 

  59. Wang H, Xu Z (2016) Total orders of extended hesitant fuzzy linguistic term sets: definitions, generations and applications. Knowl Based Syst 107:142–154

    Article  Google Scholar 

  60. Wang H, Xu Z (2016) Admissible orders of typical hesitant fuzzy elements and their application in ordered information fusion in multi-criteria decision making. Inf Fusion 29:98–104

    Article  Google Scholar 

  61. Li D, Zeng W, Li J (2015) New distance and similarity measures on hesitant fuzzy sets and their applications in multiple criteria decision making. Eng Appl Artif Intell 40:11–16

    Article  Google Scholar 

  62. Du WS, Hu BQ (2015) Aggregation distance measure and its induced similarity measure between intuitionistic fuzzy sets. Pattern Recognit Lett 60–61:65–71

    Article  Google Scholar 

  63. Li D, Zeng W, Zhao Y (2015) Note on distance measure of hesitant fuzzy sets. Inf Sci (Ny) 321:103–115

    Article  MathSciNet  Google Scholar 

  64. Huang H-C, Yang X (2014) Pairwise comparison and distance measure of hesitant fuzzy linguistic term sets. Math Probl Eng 2014:8, Article ID 954040

    Google Scholar 

  65. Wei C, Ren Z, Rodríguez RM (2015) A hesitant fuzzy linguistic TODIM method based on a score function. Int J Comput Intell Syst 8:701–712

    Article  Google Scholar 

  66. Xia M, Xu Z (2011) Hesitant fuzzy information aggregation in decision making. Int J Approx Reason 52:395–407

    Article  MathSciNet  Google Scholar 

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Correspondence to Abdolhamid Safaei Ghadikolaei.

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Ghadikolaei, A.S., Madhoushi, M. & Divsalar, M. Extension of the VIKOR method for group decision making with extended hesitant fuzzy linguistic information. Neural Comput & Applic 30, 3589–3602 (2018). https://doi.org/10.1007/s00521-017-2944-5

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