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GIBWM-MABAC approach for MAGDM under multi-granularity intuitionistic 2-tuple linguistic information model

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Abstract

Knowledge plays a vital role in multi-attribute group decision-making (MAGDM), where experts from different-fields present their knowledge to support decision-making by employing multi-granularity linguistic model. The main goals of current work are targeted to present a novel MAGDM approach by integrating the extended Archimedean Copulas (EACs), group-individual best-worst method (GIBWM) and multi-attributive border approximation area comparison (MABAC) approach to fuse multi-source knowledge with multi-granularity intuitionistic 2-tuple linguistic information (I2TLI) with unknown weight information of attributes and experts. To begin with, for the sake of modeling the relationships between attributes (experts), the Copula-based aggregation operators with I2TLI are recommended together with some of its variations discussed; In addition, taking the merits of GIBWM methods, an algorithm of weight information of expert and attributes is designed; Thirdly, considering the decision maker’s behaviour preference and psychology, a modified MABAC method is proposed by modified prospect matrix. Simultaneously, an algorithm for MAGDM based on I2TLI with different granularity is designed by integrating GIBWM and modified MABAC approach. Last of all, an example is furnished to manifest the significance of the proposed method along with related discussions, the advantages of this method are analyzed by comparing with the extant decision-making approaches.

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References

  • Alemi-Ardakani M, Milani AS, Yannacopoulos S, Shokouhi G (2016) On the effect of subjective, objective and combinative weighting in multiple criteria decision making: a case study on impact optimization of composites. Expert Syst Appl 46:426–438

    Google Scholar 

  • Ashraf S, Abdullah S, Mahmood T (2020) Spherical fuzzy dombi aggregation operators and their application in group decision making problems. J Ambient Intell Human Comput 11(7):1–19

    Google Scholar 

  • Beg I, Rashid T (2014) Aggregation operators of interval-valued 2-tuple linguistic information. Int J Intell Syst 29(7):634–667

    Google Scholar 

  • Beg I, Rashid T (2016) An intuitionistic 2-tuple linguistic information model and aggregation operators. Int J Intell Syst 31(6):569C592

    Google Scholar 

  • Chen Z, Ben-Arieh D (2006) On the fusion of multi-granularity linguistic label sets in group decision making. Comput Ind Eng 51(3):526–541

    Google Scholar 

  • Chen Z, Liu P, Pei Z (2015) An approach to multiple attribute group decision making based on linguistic intuitionistic fuzzy numbers. Int J Comput Int Syst 8(4):747–760

    Google Scholar 

  • Chen T, He SS, Wang JQ, Li L, Luo H (2019) Novel operations for linguistic neutrosophic sets on the basis of archimedean copulas and co-copulas and their application in multi-criteria decision-making problems. J Intell Fuzzy Syst 37(3):1–26

    Google Scholar 

  • Darko AP, Liang DC (2020) Some q-rung orthopair fuzzy hamacher aggregation operators and their application to multiple attribute group decision making with modified edas method. Eng Appl Artif Intel 87:103259

    Google Scholar 

  • Dong Y, Li CC, Herrera F (2016) Connecting the linguistic hierarchy and the numerical scale for the 2-tuple linguistic model and its use to deal with hesitant unbalanced linguistic information. Inf Sci 367–368:259–278

    MATH  Google Scholar 

  • Faizi S, Nawaz S, Ur-Rehman A (2020) Intuitionistic 2-tuple linguistic aggregation information based on einstein operations and their applications in group decision making. Artif Intell Rev 53(6):4625–4650

    Google Scholar 

  • Feng XQ, Pang XD, Wei CP (2020) Distance-based consistency measure and priority weights of best-worst multi-criteria decision making method. Int J Uncertain Fuzz 28(5):853–878

    MathSciNet  MATH  Google Scholar 

  • Genest C (1986) Copulas archimediennes et familles delois bidimensionanelles dont les marges sont donness. Int J Uncertain Fuzz 14(1):145–159

    Google Scholar 

  • Giráldez-Cru J, Chica M, Cordón O, Herrera F (2019) Modeling agent-based consumers decision-making with 2-tuple fuzzy linguistic perceptions. Int J Intell Syst 35(4):283–299

    Google Scholar 

  • Guiwu W (2011) Grey relational analysis model for dynamic hybrid multiple attribute decision making. Knowl-Based Syst 24:672–679

    Google Scholar 

  • Hafezalkotob A, Hafezalkotob A (2017) A novel approach for combination of individual and group decisions based on fuzzy best-worst method. Appl Soft Comput 59:316–325

    MATH  Google Scholar 

  • Hafezalkotob A, Hafezalkotob A, Liao H, Herrera F (2019) Interval multimoora method integrating interval borda rule and interval best-worst-method-based weighting model: case study on hybrid vehicle engine selection. IEEE T Cyb 50(3):1157–1169

    Google Scholar 

  • Han B, Tao Z, Chen H, Zhou L, Liu J (2020) A new computational model based on archimedean copula for probabilistic unbalanced linguistic term set and its application to multiple attribute group decision making. Comput Ind Eng 140:106264

    Google Scholar 

  • Herrera F, Martinez L (2000) An approach for combining linguistic and numerical information based on the 2-tuple fuzzy linguistic representation model in decision-making. Int J Uncertain Fuzz 8(5):539–562

    MathSciNet  MATH  Google Scholar 

  • Herrera F, Martínez L (2001) The 2-tuple linguistic computational model advantages of its linguistic description, accuracy and consistency. Int J Uncertain Fuzz 9(1):33–48

    MathSciNet  MATH  Google Scholar 

  • Herrera F, Herrera-Viedma E, Martínez L (2000) A fusion approach for managing multi-granularity linguistic term sets in decision making. Fuzzy Set Syst 114(1):43–58

    MATH  Google Scholar 

  • Ju Y, Wang A, Ma J, Gao H, Gonzalez E (2020) Some q-rung orthopair fuzzy 2-tuple linguistic muirhead mean aggregation operators and their applications to multiple-attribute group decision making. Int J Intell Syst 35(1):184–213

    Google Scholar 

  • Kuo T (2016) A modified topsis with a different ranking index. Eur J Oper Res 260(1):152–160

    MathSciNet  MATH  Google Scholar 

  • Labella A, Liu Y, Rodrguez R, Martnez L (2017) Analyzing the performance of classical consensus models in large scale group decision making: a comparative study. Appl Soft Comput 67:677–690

    Google Scholar 

  • Li C, Zeng S, Pan T, Zheng L (2014) A method based on induced aggregation operators and distance measures to multiple attribute decision making under 2-tuple linguistic environment. J Comput Syst Sci 80(7):1339–1349

    MathSciNet  MATH  Google Scholar 

  • Liang FQ, Brunelli M, Rezaei J (2019) Consistency issues in the best worst method: measurements and thresholds. Omega. https://doi.org/10.1016/j.omega.2019.102175

  • Liang Y, Liu J, Qin J, Tu Y (2018) An improved multi-granularity interval 2-tuple todim approach and its application to green supplier selection. Int J Fuzzy Syst 21(1):129–144

    MathSciNet  Google Scholar 

  • Liu P, Chen SM (2018) Multiattribute group decision making based on intuitionistic 2-tuple linguistic information. Infor Sci 430–431:599–619

    MathSciNet  MATH  Google Scholar 

  • Liu Y, Liu J, Qin Y, Xu Y (2019) A novel method based on extended uncertain 2-tuple linguistic muirhead mean operators to magdm under uncertain 2-tuple linguistic environment. Int J Comput Int Syst 12(2):498–512

    Google Scholar 

  • Liu Y, Wei G, Abdullah S, Liu J, Liu H (2021a) Banzhaf cchoquet-copula-based aggregation operators for managing q-rung orthopair fuzzy information. Soft Comput 25(10):6891–6914

    MATH  Google Scholar 

  • Liu Y, Wei G, Liu H, Xu L (2021b) Group decision making for internet public opinion emergency based upon linguistic intuitionistic fuzzy information. Int J Mach Learn Cyb. https://doi.org/10.1007/s13042-020-01262-9

  • Llamazares B (2018) An analysis of the generalized todim method. Eur J Oper Res 269(2):1041–1049

    MathSciNet  MATH  Google Scholar 

  • Luo SZ, Xing LN (2019) A hybrid decision making framework for personnel selection using bwm, mabac and promethee. Int J Fuzzy Syst 21(8):2421–2434

    Google Scholar 

  • Massanet S, Riera JV, Torrens J, Herrera-Viedma E (2014) A new linguistic computational model based on discrete fuzzy numbers for computing with words. Inf Sci 258:277–290

    MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  • Morente-Molinera JA, Perez IJ, Urena MR, Herrera-Viedma E (2015) On multi-granular fuzzy linguistic modeling in group decision making problems: a systematic review and future trends. Knowl Based Syst 74:49–60

    Google Scholar 

  • Nelsen RB (2000) An introduction to copulas. Technometrics 42(3)

  • Pamuar D, Stevi E, Zavadskas EK (2018) Integration of interval rough ahp and interval rough mabac methods for evaluating university web pages. Appl Soft Comput 67:141–163

    Google Scholar 

  • Pamucar D, Cirovic G (2015) The selection of transport and handling resources in logistics centers using multi-attributive border approximation area comparison (mabac). Expert Syst Appl 42(6):3016–3028

    Google Scholar 

  • 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

    Google Scholar 

  • Peng X, Dai J (2018) Approaches to single-valued neutrosophic madm based on mabac, topsis and new similarity measure with score function. Neural Comput Appl 29(10):939–954

    Google Scholar 

  • Qin Y, Liu Y, Abdullah S, Wei G (2021) Group decision support methodology based upon the multigranular generalized orthopair 2tuple linguistic information model. Int J Intell Syst 36(7):3367–3400

    Google Scholar 

  • Qu S, Xu Y, Wu Z, Xu Z, Han Y (2020) An interval-valued bestcworst method with normal distribution for multi-criteria decision-making. Arab J Sci Eng. https://doi.org/10.1007/s13369-020-05035-y

  • Rashid T, Faizi S, Zafar S (2019) Outranking method for intuitionistic 2-tuple fuzzy linguistic information model in group decision making. Soft Comput 23(15):6145–6155

    MATH  Google Scholar 

  • Rezaei J (2015) Best–worst multi-criteria decision-making method. Omega 53:49–57

    Google Scholar 

  • Rodrguez R, Lvaro Labella GT, Martínez L (2018) A large scale consensus reaching process managing group hesitation. Knowl Based Syst 159:86–97

    Google Scholar 

  • Sklar A (1959) Fonctions de repartition a n dimensions et leurs marges. Université Paris 8:229–231

    MATH  Google Scholar 

  • Tao Z, Bing H, Chen H (2018a) On intuitionistic fuzzy copula aggregation operators in multiple-attribute decision making. Cogn Comput 10:610–624

    Google Scholar 

  • Tao Z, Han B, Zhou L, Chen H (2018b) The novel computational model of unbalanced linguistic variables based on archimedean copula. Int J Uncertain Fuzz 26(04):601–631

    MATH  Google Scholar 

  • Tirkolaee EB, Mardani A, Dashtian Z, Soltani M, Weber GW (2020) A novel hybrid method using fuzzy decision making and multi-objective programming for sustainable-reliable supplier selection in two-echelon supply chain design. J Clean Prod. https://doi.org/10.1016/j.jclepro.2019.119517

  • Wan SP (2013) 2-tuple linguistic hybrid arithmetic aggregation operators and application to multi-attribute group decision making. Knowl Based Syst 45:31–40

    Google Scholar 

  • Wang L, Peng JJ, Wang JQ (2018) A multi-criteria decision-making framework for risk ranking of energy performance contracting project under picture fuzzy environment. J Clean Prod 191:105–118

    Google Scholar 

  • Wang L, Wang Y, Pedrycz W (2019a) Hesitant 2-tuple linguistic bonferroni operators and their utilization in group decision making. Appl Soft Comput 77:653–664

    Google Scholar 

  • Wang P, Wang J, Wei G, Wei C, Wei Y (2019b) The multi-attributive border approximation area comparison (mabac) for multiple attribute group decision making under 2-tuple linguistic neutrosophic environment. Informatica 30(4):799–818

    Google Scholar 

  • Wu Y, Zhang Z, Kou G, Zhang H, Chao X, Li C, Dong Y, Herrera F (2020) Distributed linguistic representations in decision making: Taxonomy, key elements and applications, and challenges in data science and explainable artificial intelligence. Inform Fus. https://doi.org/10.1016/j.inffus.2020.08.018

  • Xu Z (2004) A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Inf Sci 166(1C4):19–30

    MathSciNet  MATH  Google Scholar 

  • 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

    Google Scholar 

  • Yuan R, Liu Y, Zheng P (2020) Complex q-rung orthopairfuzzy 2-tuple linguistic maclaurin symmetric mean operators and its application to emergency program selection. Int J Intell Syst 35(1):1749–1790

    Google Scholar 

  • Yu W, Zhang Z, Zhong Q, Boros E (2021) Consensus reaching for magdm with multi-granular hesitant fuzzy linguistic term sets: a minimum adjustment-based approach. Ann Oper Res. https://doi.org/10.1007/s10479-019-03432-7

  • Zavadskas EK, Kaklauskas A, Sarka V (1994) The new method of multicriteria complex proportional assessment of projects. Technol Econ Dev Econ 1(3):131–139

    Google Scholar 

  • Zhang L, Wang Y, Zhao X (2018) A new emergency decision support methodology based on multi-source knowledge in 2-tuple linguistic model. Knowl Based Syst 144:77–87

    Google Scholar 

  • Zhang Z, Gao Y, Li Z (2020a) Consensus reaching for social network group decision making by considering leadership and bounded confidence. Knowl Based Syst 204:106240

    Google Scholar 

  • Zhang S, Wei G, Fand Alsaadi T, Hayat WC, Zhang Z (2020b) Mabac method for multiple attribute group decision making under picture2-tuple linguistic environment. Soft Comput 24(8):5819–5829

    MATH  Google Scholar 

  • Zhang Z, Yu W, Martínez L, Gao Y (2020c) Managing multigranular unbalanced hesitant fuzzy linguistic information in multiattribute large-scale group decision making: a linguistic distribution-based approach. IEEE T Fuzzy Syst 28(11):2875–2889

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Acknowledgements

Authors thank the reviewers for their valuable comments and suggestions. This work is supported by the Application Basic Research Plan Project of Sichuan Province (No. 2021JY0108, 2019JDTD0015); Scientific Research Project of Neijiang Normal University under Grant 18TD08; Open Research Fund Program of Data Recovery Key Laboratory of Sichuan Province (Grant No. DRN2105).

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Authors and Affiliations

  1. Data Recovery Key Laboratory of Sichuan Province, School of Mathematics and Information Sciences, Neijiang Normal University, Neijiang, 641000, Sichuan, China

    Yi Liu, Ya Qin & Fang Liu

  2. School of Management, Shanghai University, Shanghai, 200444, China

    Yuan Rong

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  1. Yi Liu
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  2. Ya Qin
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  3. Fang Liu
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Correspondence to Yi Liu.

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Liu, Y., Qin, Y., Liu, F. et al. GIBWM-MABAC approach for MAGDM under multi-granularity intuitionistic 2-tuple linguistic information model. J Ambient Intell Human Comput 14, 3405–3421 (2023). https://doi.org/10.1007/s12652-021-03476-3

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