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Multi-attribute group decision-making using double hierarchy hesitant fuzzy linguistic preference information

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Abstract

Double hierarchy hesitant fuzzy linguistic term set (DHHFLTS) is one of the successful extensions of the hesitant fuzzy linguistic term set used for describing the uncertain information in a more prominent manner for solving the group decision-making problems. In DHHFLTS, the membership functions are represented in terms of linguistic membership degrees which are a flexible structure for preference elicitation and enrich the ability for rational decision-making with complex linguistic expressions. Driven by the flexibility of DHHFLTS, in this paper, a new decision framework is developed for solving decision-making problems, which provides scientific and rational decisions based on the preference information. For it, initially, a new aggregation operator is proposed for aggregating decision-makers’ preferences. Later, the importance of the attribute weights in the problems is determined by formulating a mathematical model and the COPRAS method is extended to the DHHFLTS context for prioritizing alternatives. The applicability of the presented approach is demonstrated through a numeric example related to green supplier selection. A comparative analysis with existing studies is also administered to test the effectiveness and verify the method.

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References

  1. Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning-I. Inf Sci (NY) 8:199–249. https://doi.org/10.1016/0020-0255(75)90036-5

    Article  MathSciNet  MATH  Google Scholar 

  2. Herrera F, Herrera-Viedma E, Verdegay JL (1995) A sequential selection process in group decision making with a linguistic assessment approach. Inf Sci (NY) 239:223–239

    Article  Google Scholar 

  3. Tehrim ST, Riaz M (2019) A novel extension of TOPSIS to MCGDM with bipolar neutrosophic soft topology. J Intell Fuzzy Syst 37:5531–5549. https://doi.org/10.3233/JIFS-190668

    Article  Google Scholar 

  4. Riaz M, Hashmi MR (2019) MAGDM for agribusiness in the environment of various cubic m-polar fuzzy averaging aggregation operators. J Intell Fuzzy Syst 37:3671–3691. https://doi.org/10.3233/JIFS-182809

    Article  Google Scholar 

  5. Zare A, Feylizadeh MR, Mahmoudi A, Liu S (2018) Suitable computerized maintenance management system selection using grey group TOPSIS and fuzzy group VIKOR: a case study. Decis Sci Lett 7:341–358. https://doi.org/10.5267/j.dsl.2018.3.002

    Article  Google Scholar 

  6. Rodriguez RM, Martinez L, Herrera F (2012) Hesitant fuzzy linguistic term sets for decision making. IEEE Trans Fuzzy Syst 20:109–119. https://doi.org/10.1109/TFUZZ.2011.2170076

    Article  Google Scholar 

  7. Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25:529–539. https://doi.org/10.1002/int

    Article  MATH  Google Scholar 

  8. Tüysüz F, Şimşek B (2017) A hesitant fuzzy linguistic term sets-based AHP approach for analyzing the performance evaluation factors: an application to cargo sector. Complex Intell Syst 3:167–175. https://doi.org/10.1007/s40747-017-0044-x

    Article  Google Scholar 

  9. Zhu B, Xu Z (2014) Consistency measures for hesitant fuzzy linguistic preference relations. IEEE Trans Fuzzy Syst 22:35–45. https://doi.org/10.1109/TFUZZ.2013.2245136

    Article  Google Scholar 

  10. Liao H, Xu Z, Zeng XJ, Merigó JM (2015) Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets. Knowl Based Syst 76:127–138. https://doi.org/10.1016/j.knosys.2014.12.009

    Article  Google Scholar 

  11. Deepak D, Mathew B, John SJ, Garg H (2019) A topological structure involving hesitant fuzzy sets. J Intell Fuzzy Syst 36(6):6401–6412

    Article  Google Scholar 

  12. 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. https://doi.org/10.1016/j.ins.2014.02.125

    Article  MathSciNet  MATH  Google Scholar 

  13. Liao H, Wu D, Huang Y, Ren P, Xu Z, Verma M (2018) Green logistic provider selection with a hesitant fuzzy linguistic thermodynamic method integrating cumulative prospect theory and PROMETHEE. Sustainability 10:1–16. https://doi.org/10.3390/su10041291

    Article  Google Scholar 

  14. Wang H (2015) Extended hesitant fuzzy linguistic term sets and their aggregation in group decision making. Int J Comput Intell Syst 8:14–33. https://doi.org/10.1080/18756891.2014.964010

    Article  Google Scholar 

  15. Wei G, Alsaadi FE, Hayat T, Alsaedi A (2016) Hesitant fuzzy linguistic arithmetic aggregation operators in multiple attribute decision making. Iran J Fuzzy Syst 13:1–16

    MathSciNet  MATH  Google Scholar 

  16. Liao H, Xu Z, Herrera-Viedma E, Herrera F (2017) Hesitant fuzzy linguistic term set and its application in decision making: a state-of-the-art survey. Int J Fuzzy Syst. https://doi.org/10.1007/s40815-017-0432-9

    Article  Google Scholar 

  17. Gou X, Liao H, Xu Z, Herrera F (2017) Double hierarchy hesitant fuzzy linguistic term set and MULTIMOORA method: a case of study to evaluate the implementation status of haze controlling measures. Inf Fusion 38:22–34. https://doi.org/10.1016/j.inffus.2017.02.008

    Article  Google Scholar 

  18. Pang Q, Wang H, Xu Z (2016) Probabilistic linguistic term sets in multi-attribute group decision making. Inf Sci (NY) 369:128–143. https://doi.org/10.1016/j.ins.2016.06.021

    Article  Google Scholar 

  19. Gou X, Xu Z, Herrera F (2018) Consensus reaching process for large-scale group decision making with double hierarchy hesitant fuzzy linguistic preference relations. Knowl Based Syst 157:20–33. https://doi.org/10.1016/j.knosys.2018.05.008

    Article  Google Scholar 

  20. Gou X, Xu Z, Liao H, Herrera F (2018) Multiple criteria decision making based on distance and similarity measures under double hierarchy hesitant fuzzy linguistic environment. Comput Ind Eng 126:516–530. https://doi.org/10.1016/j.cie.2018.10.020

    Article  Google Scholar 

  21. Maclaurin C (1729) A fecond Letter to martin folkes, esq., concerning the roots of equations with demonstration of other roots of algebra. Philos Trans R Soc Lond Ser A 36:59–96

    Google Scholar 

  22. Zheng Y, Xu Z, He Y, Liao H (2018) Severity assessment of chronic obstructive pulmonary disease based on hesitant fuzzy linguistic COPRAS method. Appl Soft Comput J 69:60–71. https://doi.org/10.1016/j.asoc.2018.04.035

    Article  Google Scholar 

  23. Riaz M, Tehrim ST (2019) Multi-attribute group decision making based on cubic bipolar fuzzy information using averaging aggregation operators. J Intell Fuzzy Syst 37:2473–2494. https://doi.org/10.3233/JIFS-182751

    Article  Google Scholar 

  24. Riaz M, Tehrim ST (2019) Cubic bipolar fuzzy ordered weighted geometric aggregation operators and their application using internal and external cubic bipolar fuzzy data. Comput Appl Math 38:1–25. https://doi.org/10.1007/s40314-019-0843-3

    Article  MathSciNet  MATH  Google Scholar 

  25. Xu Z, Yager RR (2011) Intuitionistic fuzzy Bonferroni means. IEEE Trans Syst Man Cybern B Cybern 41:568–578. https://doi.org/10.1002/int.20515

    Article  Google Scholar 

  26. Guan K, Guan R (2011) Some properties of a generalized Hamy symmetric function and its applications. J Math Anal Appl 376:494–505. https://doi.org/10.1016/j.jmaa.2010.10.014

    Article  MathSciNet  MATH  Google Scholar 

  27. Qin J, Liu X (2014) An approach to intuitionistic fuzzy multiple attribute decision making based on Maclaurin symmetric mean operators. J Intell Fuzzy Syst 27:2177–2190. https://doi.org/10.3233/IFS-141182

    Article  MathSciNet  MATH  Google Scholar 

  28. Sharma HK, Roy J, Kar S, Prentkovskis O (2018) Multi criteria evaluation framework for prioritizing Indian railway stations using modified rough AHP-Mabac method. Transp Telecommun 19:113–127. https://doi.org/10.2478/ttj-2018-0010

    Article  Google Scholar 

  29. Askarifar K, Motaffef Z, Aazaami S (2018) An investment development framework in Iran’s seashores using TOPSIS and best–worst multi-criteria decision making methods. Decis Sci Lett 7:55–64. https://doi.org/10.5267/j.dsl.2017.4.004

    Article  Google Scholar 

  30. Zhang Y, Li P, Wang Y, Ma P, Su X (2013) Multiattribute decision making based on entropy under interval-valued intuitionistic fuzzy environment. Math Probl Eng 2013:1–8. https://doi.org/10.1016/j.eswa.2012.01.027

    Article  MathSciNet  MATH  Google Scholar 

  31. Shemshadi A, Shirazi H, Toreihi M, Tarokh MJ (2011) A fuzzy VIKOR method for supplier selection based on entropy measure for objective weighting. Expert Syst Appl 38:12160–12167. https://doi.org/10.1016/j.eswa.2011.03.027

    Article  Google Scholar 

  32. Alimardani M, Zolfani SH, Aghdaie MH, Tamošaitienė J (2013) A novel hybrid SWARA and VIKOR methodology for supplier selection in an agile environment. Technol Econ Dev Econ 19:533–548. https://doi.org/10.3846/20294913.2013.814606

    Article  Google Scholar 

  33. Zavadskas EK, Kaklauskas A, Turskis Z, Tamošaitiene J (2008) Selection of the effective dwelling house walls by applying attributes values determined at intervals. J Civ Eng Manag 14:85–93. https://doi.org/10.3846/1392-3730.2008.14.3

    Article  Google Scholar 

  34. Zavadskas EK, Turskis Z, Kildienė S (2014) State of art surveys of overviews on MCDM/MADM methods. Technol Econ Dev Econ 20:165–179. https://doi.org/10.3846/20294913.2014.892037

    Article  Google Scholar 

  35. Zavadskas EK, Turskis Z, Tamošaitiene J, Marina V (2008) Multicriteria selection of project managers by applying grey criteria. Technol Econ Dev Econ 14:462–477. https://doi.org/10.3846/1392-8619.2008.14.462-477

    Article  Google Scholar 

  36. Zavadskas EK, Kaklauskas A, Turskis Z, Tamošaitienė J (2009) Multi-attribute decision-making model by applying grey numbers. Inst Math Inf Vilnius 20:305–320. https://doi.org/10.1016/s0377-2217(97)00147-1

    Article  MATH  Google Scholar 

  37. Nguyen HT, Md Dawal SZ, Nukman Y, Aoyama H, Case K (2015) An integrated approach of fuzzy linguistic preference based AHP and fuzzy COPRAS for machine tool evaluation. PLoS ONE 10:1–24. https://doi.org/10.1371/journal.pone.0133599

    Article  Google Scholar 

  38. Razavi Hajiagha SH, Hashemi SS, Zavadskas EK (2013) A complex proportional assessment method for group decision making in an interval-valued intuitionistic fuzzy environment. Technol Econ Dev Econ 19:22–37. https://doi.org/10.3846/20294913.2012.762953

    Article  Google Scholar 

  39. Gorabe D, Pawar D, Pawar N (2014) Selection of industrial robots using complex proportional assessment method. Am Int J Res Sci Technol Eng Math Sci Technol Eng Math 5(2):2006–2009

    Google Scholar 

  40. Vahdani B, Mousavi SM, Tavakkoli-Moghaddam R, Ghodratnama a, Mohammadi M (2014) Robot selection by a multiple criteria complex proportional assessment method under an interval-valued fuzzy environment. Int J Adv Manuf Technol 73:687–697. https://doi.org/10.1007/s00170-014-5849-9

    Article  Google Scholar 

  41. Mousavi-Nasab SH, Sotoudeh-Anvari A (2017) A comprehensive MCDM-based approach using TOPSIS, COPRAS and DEA as an auxiliary tool for material selection problems. Mater Des 121:237–253. https://doi.org/10.1016/j.matdes.2017.02.041

    Article  Google Scholar 

  42. Chatterjee P, Athawale VM, Chakraborty S (2011) Materials selection using complex proportional assessment and evaluation of mixed data methods. Mater Des 32:851–860. https://doi.org/10.1016/j.matdes.2010.07.010

    Article  Google Scholar 

  43. Garg H, Nancy (2019) Algorithms for possibility linguistic single-valued neutrosophic decision-making based on COPRAS and aggregation operators with new information measures. Measurement 138:278–290

    Article  Google Scholar 

  44. Yazdani M, Chatterjee P, Zavadskas EK, Hashemkhani Zolfani S (2017) Integrated QFD-MCDM framework for green supplier selection. J Clean Prod 142:3728–3740. https://doi.org/10.1016/j.jclepro.2016.10.095

    Article  Google Scholar 

  45. Chatterjee K, Kar S (2018) Supplier selection in Telecom supply chain management: a Fuzzy-Rasch based COPRAS-G method. Technol Econ Dev Econ 24:765–791. https://doi.org/10.3846/20294913.2017.1295289

    Article  Google Scholar 

  46. Chatterjee K, Kar S (2018) A multi-criteria decision making for renewable energy selection using Z-numbers. Technol Econ Dev Econ 24:739–764. https://doi.org/10.3846/20294913.2016.1261375

    Article  Google Scholar 

  47. Raghunath BV, Punnagaiarasi A, Rajarajan G, Irshad A, Elango A (2016) Impact of dairy effluent on environment—a review. Integrated Waste Management in India. Springer, Cham, pp 239–249

    Chapter  Google Scholar 

  48. Lima Junior FR, Osiro L, Carpinetti LCR (2014) A comparison between Fuzzy AHP and Fuzzy TOPSIS methods to supplier selection. Appl Soft Comput J 21:194–209. https://doi.org/10.1016/j.asoc.2014.03.014

    Article  Google Scholar 

  49. Spearman C (1904) The proof and measurement of association between two things. Am J Psychol 15:72–101

    Article  Google Scholar 

  50. Garg H, Nancy (2019) Multiple criteria decision making based on Frank Choquet Heronian mean operator for single-valued neutrosophic sets. Appl Comput Math 18(2):163–188

    MathSciNet  Google Scholar 

  51. Muirhead RF (1902) Some methods applicable to identities and inequalities of symmetric algebraic functions of n letters. Proc Edinb Math Soc 21:144–162. https://doi.org/10.1017/S001309150003460X

    Article  Google Scholar 

  52. Moghaddampour J, Setalani FD, Ghasemi H, Eivazi MR (2018) Crafting decision options and alternatives for designing cultural observation system using general morphological modelling. Decis Sci Lett 7:359–380. https://doi.org/10.5267/j.dsl.2018.3.001

    Article  Google Scholar 

  53. Riaz M, Caǧman N, Zareef I, Aslam M (2019) N-soft topology and its applications to multi-criteria group decision making. J Intell Fuzzy Syst 36:6521–6536

    Article  Google Scholar 

  54. Riaz M, Smarandache F, Firdous A, Fakhar A (2019) On soft rough topology with multi-attribute group decision making. Mathematics 7:1–18. https://doi.org/10.3390/math7010067

    Article  Google Scholar 

  55. Garg H, Kaur G (2020) Quantifying gesture information in brain hemorrhage patients using probabilistic dual hesitant fuzzy sets with unknown probability information. Comput Ind Eng 140:106211. https://doi.org/10.1016/j.cie.2019.106211

    Article  Google Scholar 

  56. Riaz M, Davvaz B, Firdous A, Fakhar A (2019) Novel concepts of soft rough set topology with applications. J Intell Fuzzy Syst 36:3579–3590. https://doi.org/10.3233/JIFS-181648

    Article  Google Scholar 

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Correspondence to Samarjit Kar.

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Krishankumar, R., Ravichandran, K.S., Shyam, V. et al. Multi-attribute group decision-making using double hierarchy hesitant fuzzy linguistic preference information. Neural Comput & Applic 32, 14031–14045 (2020). https://doi.org/10.1007/s00521-020-04802-0

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