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.
Similar content being viewed by others
References
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
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
Zhang H (2015) A consistency model for group decision making problems with interval multiplicative preference relations. Appl Soft Comput 34:60–71
Yue Z, Jia Y (2015) A group decision making model with hybrid intuitionistic fuzzy information. Comput Ind Eng 87:202–212
Rodriguez RM, Martinez L, Herrera F (2012) Hesitant fuzzy linguistic term sets for decision making. Fuzzy Syst IEEE Trans 20:109–119
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
Dubois DJ (1980) Fuzzy sets and systems: theory and applications. Academic Press, London
Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96
Miyamoto S (2000) Multisets and fuzzy multisets. In: Soft computing human-centered machine. Springer, Berlin, pp 9–33
Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25:529–539
Zhang Z, Wu C (2014) On the use of multiplicative consistency in hesitant fuzzy linguistic preference relations. Knowl Based Syst 72:13–27
Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning-I. Inf Sci (NY) 249:199–249
Türkşen IB (2002) Type 2 representation and reasoning for CWW. Fuzzy Sets Syst 127:17–36
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
Herrera F, Martínez L (2000) Brief papers. Fuzzy Syst IEEE Trans 8:746–752
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
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
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
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
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
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
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
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
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
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
Meng F, Chen X, Zhang Q (2014) Multi-attribute decision analysis under a linguistic hesitant fuzzy environment. Inf Sci (NY) 267:287–305
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
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
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
Wang H (2015) Extended hesitant fuzzy linguistic term sets and their aggregation in group decision making. Int J Comput Intell Syst 8:14–33
Wang H, Xu Z (2015) Some consistency measures of extended hesitant fuzzy linguistic preference relations. Inf Sci (NY) 297:316–331
Opricovic S, Tzeng GH (2004) Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS. Eur J Oper Res 156:445–455
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
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
Akman G (2014) Evaluating suppliers to include green supplier development programs via fuzzy c-means and VIKOR methods. Comput Ind Eng 86:69–82
Chang T-H (2014) Fuzzy VIKOR method: a case study of the hospital service evaluation in Taiwan. Inf Sci (NY) 271:196–212
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
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
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
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
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
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
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
Büyüközkan G, Görener A (2015) Evaluation of product development partners using an integrated AHP-VIKOR model. Kybernetes 44:220–237
Liao H, Xu Z (2013) A VIKOR-based method for hesitant fuzzy multi-criteria decision making. Fuzzy Optim Decis Mak 12:373–392
Zhang N, Wei G (2013) Extension of VIKOR method for decision making problem based on hesitant fuzzy set. Appl Math Model 37:4938–4947
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
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
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
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
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
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
Xu Z (2004) Uncertain multi-attribute decision making. Springer, Berlin
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
Xu Z (2004) A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Inf Sci (NY) 166:19–30
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
Farhadinia B (2013) A novel method of ranking hesitant fuzzy values for multiple attribute decision-making problems. Int J Intell Syst 28:752–767
Beg I, Rashid T (2013) TOPSIS for hesitant fuzzy linguistic term sets. Int J Intell Syst 28:1162–1171
Wang H, Xu Z (2016) Total orders of extended hesitant fuzzy linguistic term sets: definitions, generations and applications. Knowl Based Syst 107:142–154
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
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
Du WS, Hu BQ (2015) Aggregation distance measure and its induced similarity measure between intuitionistic fuzzy sets. Pattern Recognit Lett 60–61:65–71
Li D, Zeng W, Zhao Y (2015) Note on distance measure of hesitant fuzzy sets. Inf Sci (Ny) 321:103–115
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
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
Xia M, Xu Z (2011) Hesitant fuzzy information aggregation in decision making. Int J Approx Reason 52:395–407
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
All authors declare that they have no conflict of interest.
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00521-017-2944-5