Abstract
In this article, we extend multi-attributive border approximation area comparison (MABAC) approach to the multiple attribute group decision making with picture 2-tuple linguistic numbers. We review the concept of picture 2-tuple linguistic sets and introduce its corresponding score function, accuracy function, and operational laws. In addition, we propose two aggregation operators of picture 2-tuple linguistic numbers and then develop a method by combining traditional MABAC model with the overall picture 2-tuple linguistic evaluation information. Our proposed method is increasingly accurate and valid even when the conflicting attributes are considered. We also provide a numerical instance for assessing and selecting the renewable energy power generation project to demonstrate the efficacy of our novel model. Finally, we compare our proposed approach with other traditional operators to further show its benefits.
Similar content being viewed by others
References
Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96
Atanassov K, Gargov G (1989) Interval valued intuitionistic fuzzy-sets. Fuzzy Sets Syst 31:343–349
Cuong BC, Kreinovich V (2013) Picture fuzzy sets-a new concept for computational intelligence problems. In: Third world congress on information and communication technologies (WICT 2013), IEEE, pp 1–6
Cuong BC, Ngan RT, Hai BD (2015) An involutive picture fuzzy negator on picture fuzzy sets and some De Morgan triples. In: International conference on knowledge & systems engineering
Dehghani H, Siami A, Haghi P (2017) A new model for mining method selection based on grey and TODIM methods. J Min Environ 8:49–60
Garg H (2017) Some picture fuzzy aggregation operators and their applications to multicriteria decision-making. Arab J Sci Eng 42:5275–5290
Gomes L, Rangel LAD (2009) An application of the TODIM method to the multicriteria rental evaluation of residential properties. Eur J Oper Res 193:204–211
Herrera F, Martinez L (2000a) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 8:746–752
Herrera F, Martinez L (2000b) An approach for combining linguistic and numerical information based on the 2-tuple fuzzy linguistic representation model in decision-making. Int J Uncertain Fuzziness Knowl-Based Syst 8:539–562
Herrera F, Martínez L (2001) The 2-tuple linguistic computational model. Adv Linguist Descr Accur Consist 9:33–48
Huang YH, Wei GW (2018) TODIM method for Pythagorean 2-tuple linguistic multiple attribute decision making. J Intell Fuzzy Syst 35:901–915
Liao HC, Wu XL (2019) DNMA: a double normalization-based multiple aggregation method for multi-expert multi-criteria decision making. Omega-Int J Manag Sci. https://doi.org/10.1016/j.omega.2019.1004.1001
Mishra AR, Rani P (2018) Biparametric information measures-based TODIM technique for interval-valued intuitionistic fuzzy environment. Arab J Sci Eng 43:3291–3309
Mishra AR, Chandel A, Motwani DJGC (2018) Extended MABAC method based on divergence measures for multi-criteria assessment of programming language with interval-valued intuitionistic fuzzy sets. Granul Comput. https://doi.org/10.1007/s41066-41018-40130-41065
Muirhead RF (1902) Some methods applicable to identities and inequalities of symmetric algebraic functions of n letters. Proc Edinb Math Soc 21:144–162
Opricovic S, Tzeng GH (2007) Extended VIKOR method in comparison with outranking methods. Eur J Oper Res 178:514–529
Pamučar D, Ćirović G (2015) The selection of transport and handling resources in logistics centers using Multi-Attributive Border Approximation area Comparison (MABAC). Expert Syst Appl 42:3016–3028
Pamucar D, Petrovic I, Cirovic G (2018) Modification of the Best-Worst and MABAC methods: a novel approach based on interval-valued fuzzy-rough numbers. Expert Syst Appl 91:89–106
Pamučar D, Stević Ž, Zavadskas EK (2018) Integration of interval rough AHP and interval rough MABAC methods for evaluating university web pages. Appl Soft Comput 67:141–163
Peng XD, Yang Y (2016) Pythagorean fuzzy choquet integral based MABAC method for multiple attribute group decision making. Int J Intell Syst 31:989–1020
Qin QD, Liang FQ, Li L, Chen YW, Yu GF (2017) A TODIM-based multi-criteria group decision making with triangular intuitionistic fuzzy numbers. Appl Soft Comput 55:93–107
Roy J, Chatterjee K, Bandhopadhyay A, Kar S (2016) Evaluation and selection of Medical Tourism sites: a rough AHP based MABAC approach. https://doi.org/10.1111/exsy.12232
Singh P (2015) Correlation coefficients for picture fuzzy sets. J Intell Fuzzy Syst 28:591–604
Son LH (2015) DPFCM: a novel distributed picture fuzzy clustering method on picture fuzzy sets. Expert Syst Appl 42:51–66
Son LH (2016) Generalized picture distance measure and applications to picture fuzzy clustering. Appl Soft Comput 46:284–295
Son LH, Thong PH (2017) Some novel hybrid forecast methods based on picture fuzzy clustering for weather nowcasting from satellite image sequences. Appl Intell 46:1–15
Sun R, Hu J, Zhou J, Chen X (2017) A Hesitant fuzzy linguistic projection-based MABAC method for patients’ prioritization. Int J Fuzzy Syst 20:1–17
Tang XY, Wei GW (2019) Multiple attribute decision-making with dual hesitant pythagorean fuzzy information. Cognit Comput 11:193–211
Tang M, Wang J, Lu JP, Wei GW, Wei C, Wei Y (2019a) Dual Hesitant pythagorean fuzzy heronian mean operators in multiple attribute decision making. Mathematics 7:344
Tang XY, Wei GW, Gao H (2019b) Models for multiple attribute decision making with interval-valued pythagorean fuzzy Muirhead mean operators and their application to green suppliers selection. Informatica 30:153–186
Thong NT, Son LH (2015) HIFCF: an effective hybrid model between picture fuzzy clustering and intuitionistic fuzzy recommender systems for medical diagnosis. Expert Syst Appl 42:3682–3701
Thong PH, Son LH (2016) A novel automatic picture fuzzy clustering method based on particle swarm optimization and picture composite cardinality. Knowl-Based Syst 109:48–60
Tian ZP, Wang J, Wang JQ, Zhang HY (2017) Simplified neutrosophic linguistic multi-criteria group decision-making approach to green product development. Group Decis Negot 26:597–627
Wang J, Wei GW, Lu M (2018a) An extended VIKOR method for multiple criteria group decision making with triangular fuzzy neutrosophic numbers. Symmetry-Basel 10:497
Wang J, Wei GW, Lu M (2018b) TODIM method for multiple attribute group decision making under 2-tuple linguistic neutrosophic environment. Symmetry-Basel 10:486
Wang J, Wei GW, Wei Y (2018c) Models for green supplier selection with some 2-tuple linguistic neutrosophic number bonferroni mean operators. Symmetry-Basel 10:131
Wang L, Zhang HY, Wang JQ, Li L (2018d) Picture fuzzy normalized projection-based VIKOR method for the risk evaluation of construction project. Appl Soft Comput 64:216–226
Wang P, Xu XH, Huang S (2019) An improved consensus-based model for large group decision making problems considering experts with linguistic weighted information. Group Decis Negot 28:619–640
Wei G (2016a) Picture 2-tuple linguistic Bonferroni mean operators and their application to multiple attribute decision making. Int J Fuzzy Syst 19:1–14
Wei GW (2016b) Picture fuzzy cross-entropy for multiple attribute decision making problems. J Bus Econ Manag 17:491–502
Wei GW (2017a) Picture 2-tuple linguistic bonferroni mean operators and their application to multiple attribute decision making. Int J Fuzzy Syst 19:997–1010
Wei GW (2017b) Picture uncertain linguistic Bonferroni mean operators and their application to multiple attribute decision making. Kybernetes 46:1777–1800
Wei GW (2017c) Some cosine similarity measures for picture fuzzy sets and their applications to strategic decision making. Informatica 28:547–564
Wei GW (2018a) Picture fuzzy Hamacher aggregation operators and their application to multiple attribute decision making. Fundamenta Informaticae 157:271–320
Wei GW (2018b) TODIM method for picture fuzzy multiple attribute decision making. Informatica 29:555–566
Wei GW, Gao H (2018) The generalized dice similarity measures for picture fuzzy sets and their applications. Informatica 29:107–124
Wei G, Alsaadi FE, Hayat T, Alsaedi A (2016) Picture 2-tuple linguistic aggregation operators in multiple attribute decision making. Soft Comput 33:1–14
Wei GW, Alsaadi FE, Hayat T, Alsaedi A (2018a) Picture 2-tuple linguistic aggregation operators in multiple attribute decision making. Soft Comput 22:989–1002
Wei Y, Yu Q, Liu J, Cao Y (2018b) Hot money and China’s stock market volatility: further evidence using the GARCH-MIDAS model. Physica A 492:923–930
Wei Y, Qin S, Li X, Zhu S, Wei G (2019) Oil price fluctuation, stock market and macroeconomic fundamentals: evidence from China before and after the financial crisis. Finance Res Lett 30:23–29
Wu XL, Liao HC (2019) A consensus-based probabilistic linguistic gained and lost dominance score method. Eur J Oper Res 272:1017–1027
Wu SJ, Wei GW (2017) Picture uncertain linguistic aggregation operators and their application to multiple attribute decision making. Int J Knowl-Based Intell Eng Syst 21:243–256
Wu S, Wang J, Wei G, Wei Y (2018) Research on construction engineering project risk assessment with some 2-tuple linguistic neutrosophic Hamy mean operators. Sustainability 10(5):1536
Xu Y, Shang X, Wang J, Zhang R, Li W, Xing Y (2019) A method to multi-attribute decision making with picture fuzzy information based on Muirhead mean. J Intell Fuzzy Syst 36(4):3833–3849
Xue YX, You JX, Lai XD, Liu HC (2016) An interval-valued intuitionistic fuzzy MABAC approach for material selection with incomplete weight information. Appl Soft Comput 38:703–713
Yu SM, Wang J, Wang JQ (2017) An interval type-2 fuzzy likelihood-based MABAC approach and its application in selecting hotels on a tourism website. Int J Fuzzy Syst 19:47–61
Zhang SQ, Gao H, Wei GW, Wei Y, Wei C (2019) Evaluation based on distance from average solution method for multiple criteria group decision making under picture 2-tuple linguistic environment. Mathematics 7:243
Acknowledgements
This paper is supported by the National Natural Science Foundation of China (No. 71571128).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare no conflict of interest.
Additional information
Communicated by B. B. Gupta.
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Zhang, S., Wei, G., Alsaadi, F.E. et al. MABAC method for multiple attribute group decision making under picture 2-tuple linguistic environment. Soft Comput 24, 5819–5829 (2020). https://doi.org/10.1007/s00500-019-04364-x
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-019-04364-x