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Multiple attribute group decision-making method based on extended bipolar fuzzy MABAC approach

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Abstract

In this paper, we apply multiple attribute border approximation area comparison approach to multiple attribute group decision-making with bipolar fuzzy numbers (BFNs). We reconsider the notion of BFNs and propose its corresponding operational rules, score and accuracy functions. Further, we introduce two aggregation operators and develop an MADM approach based on conventional BABAC model with overall BFNs. The proposed technique is valid and accurate for considering the conflicting attributes. We analyse the proposed method by considering a numerical example for the selection of renewable energy power generation project to show the effectiveness of the developed approach. At last, we compare the developed approach with some existing operators to show its efficiency.

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References

  • Akram M, Arshad MS (2020) Bipolar fuzzy TOPSIS and bipolar fuzzy ELECTRE-I methods to diagnosis. Comput Appl Math. https://doi.org/10.1007/s40314-019-0980-8

    Article  MathSciNet  Google Scholar 

  • Akram M, Shumaiza N, Al-Kenani A (2020) Multi-criteria group decision-making for selection of green suppliers under bipolar fuzzy PROMETHEE process. Symmetry 12(1):77

    Google Scholar 

  • Alghamdi MA, Alshehri NO, Akram M (2018) Multi-criteria decision-making methods in bipolar fuzzy environment. Int J Fuzzy Syst 20:2057–2064

    Google Scholar 

  • Atanassov KT (1999) On intuitionistic fuzzy sets theory. Studies in fuzziness and soft computing, vol 283. Springer, Berlin

    Google Scholar 

  • Biswas S (2020) Measuring performance of healthcare supply chains in India: A comparative analysis of multi-criteria decision-making methods. Decis Mak Appl Manag Eng 3(2):162–189

    Google Scholar 

  • Gao H, Wei GW, Huang YH (2018) Dual hesitant bipolar fuzzy Hamacher prioritized aggregation operators in multiple attribute decision-making. IEEE Access 6(1):11508–11522

    Google Scholar 

  • Gao H, Wu J, Wei C, Wei G (2019) MADM method with interval-valued bipolar uncertain linguistic information for evaluating the computer network security. IEEE Access 7:151506–151524

    Google Scholar 

  • Gebrehiwet T, Luo HB (2018) Risk level evaluation on construction project lifecycle using fuzzy comprehensive evaluation and TOPSIS. Symmetry 11(1):12

    Google Scholar 

  • Gul Z (2015) Some bipolar fuzzy aggregations operators and their applications in multicriteria group decision-making, M.Phil Thesis

  • Han Y, Shi P, Chen S (2015) Bipolar-valued rough fuzzy set and its applications to decision information system. IEEE Trans Fuzzy Syst 23(6):2358–2370

    Google Scholar 

  • Ibrar M, Khan A, Khan S, Abbas F (2019) Fuzzy parameterized bipolar fuzzy soft expert set and its application in decision-making. Int J Fuzzy Log Intell Syst 19(4):234–241

    Google Scholar 

  • Jana C, Pal M (2018) Application of bipolar intuitionistic fuzzy soft sets in decision-making problem. Int J Fuzzy Syst Appl (IJFSA) 7(3):32–55

    Google Scholar 

  • Jana C, Pal M (2021a) Extended bipolar fuzzy EDAS approach for multi-criteria group decision-making process. Comput Appl Math 40(9):2–15. https://doi.org/10.1007/s40314-020-01403-4

    Article  MathSciNet  MATH  Google Scholar 

  • Jana C, Pal M (2021b) Multi-criteria decision-making process based on some single-valued neutrosophic Dombi power aggregation operators. Soft Comput 25(7):5055–5072

    Google Scholar 

  • Jana C, Pal M (2021c) A dynamical hybrid method to design decision-making process based on GRA approach for multiple attributes problem. Eng Appl Artif Intell 100:104203. https://doi.org/10.1016/j.engappai.2021.104203

    Article  Google Scholar 

  • Jana C, Pal M, Wang JQ (2019a) A robust aggregation operator for multi-criteria decision-making method with bipolar fuzzy soft environment. Iran J Fuzzy Syst 16(6):1–16

    MathSciNet  MATH  Google Scholar 

  • Jana C, Pal M, Wang JQ (2019b) Bipolar fuzzy Dombi aggregation operators and its application in multiple attribute decision-making process. J Ambient Intell Humaniz Comput 10(9):3533–3549

    Google Scholar 

  • Jana C, Muhiuddin M, Pal M (2019c) Some Dombi aggregation of Q-rung orthopair fuzzy numbers in multiple-attribute decision-making. Int J Intell Syst 34(12):3220–3240

    Google Scholar 

  • Jana C, Senapati T, Pal M (2019d) Pythagorean fuzzy Dombi aggregation operators and its applications in multiple attribute decision-making. Int J Intell Syst 34(9):2019–2038

    Google Scholar 

  • Jana C, Pal M, Wang JQ (2020a) Bipolar fuzzy Dombi prioritized aggregation operators in multiple attribute decision-making. Soft Comput 24:3631–3646

    MATH  Google Scholar 

  • Jana C, Muhiuddin G, Pal M (2020b) Multiple-attribute decision-making problems based on SVTNH methods. J Ambient Intell Humaniz Comput 11(9):3717–3733

    Google Scholar 

  • Jana C, Muhiuddin G, Pal M (2021) Multi-criteria decision-making approach based on SVTrN Dombi aggregation functions. Artif Intell Rev 54(5):3685–3723

    Google Scholar 

  • Khan A, Hussain F, Hadi A, Khan SA (2019) A decision-making approach based on multi-fuzzy bipolar soft sets. J Intell Fuzzy Syst 37(2):1879–1892

    Google Scholar 

  • Laha S, Biswas S (2019) A hybrid unsupervised learning and multi-criteria decision-making approach for performance evaluation of Indian banks. Accounting 5(4):169–184

    Google Scholar 

  • Lan J, Wu J, Guo Y, Wei C, Wei G, Gao H (2021) CODAS methods for multiple attribute group decision-making with interval-valued bipolar uncertain linguistic information and their application to risk assessment of Chinese enterprises’ overseas mergers and acquisitions. Econ Res Ekon Istraž. https://doi.org/10.1080/1331677X.1332020.1868323

    Article  Google Scholar 

  • Liu PD (2017) Multiple attribute group decision-making method based on interval-valued intuitionistic fuzzy power Heronian aggregation operators. Comput Ind Eng 108:199–212

    Google Scholar 

  • Lu M, Wei G, Alsaadi FE, Tasawar H, Alsaedi A (2017) Bipolar 2-tuple linguistic aggregation operators in multiple attribute decision-making. J Intell Fuzzy Syst 33(2):1197–1207

    MATH  Google Scholar 

  • Mishra AR, Chandel A, Motwani DJGC (2020) Extended MABAC method based on divergence measures for multi-criteria assessment of programming language with interval-valued intuitionistic fuzzy sets. Granul Comput 5:97–117

    Google Scholar 

  • Muravev D, Mijic N (2020) A novel integrated provider selection multi-criteria model: the BWM-MABAC model. Decis Mak Appl Manag Eng 3(1):60–78

    Google Scholar 

  • 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

    Google Scholar 

  • Pamučar D, StevićŹ Zavadskas EK (2018a) Integration of interval rough AHP and interval rough MABAC methods for evaluating university web pages. Appl Soft Comput 67:141–163

    Google Scholar 

  • Pamučar D, Petrovic I, Ćirović 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 

  • Pramanik S, Mallick R (2018) VIKOR based MAGDM strategy with trapezoidal neutrosophic numbers. Neutrosophic Sets Syst 22:118–130

    Google Scholar 

  • Roy J, Das S, Kar S, Pamucar D (2019) An extension of the CODAS approach using interval-valued intuitionistic fuzzy set for sustainable material selection in construction projects with incomplete weight information. Symmetry 11(3):393

    Google Scholar 

  • Sarwar M, Akram M, Zafar F (2018) Decision-making approach based on competition graphs and extended TOPSIS method under bipolar fuzzy environment. Math Comput Appl 23(4):68

    MathSciNet  Google Scholar 

  • Shanthi Anita S, Jaypalan P (2019) The ELECTRE 1 method for multi criteria decision-making under bipolar intuitionistic fuzzy soft environment. AIP Conf Proc 2177:020003. https://doi.org/10.1063/1.5135178

    Article  Google Scholar 

  • Shumaiza AM, Al-Kenan AN, Alcantud JCR (2019) Group decision-making based on the VIKOR method with trapezoidal bipolar fuzzy information. Symmetry 11(10):1313

    Google Scholar 

  • Sun R, Hu J, Zhou J, Chen X (2017) A Hesitant fuzzy linguistic projection-based MABAC method for patients’s prioritization. Int J Fuzzy Syst 20:1–17

    Google Scholar 

  • Wang X, Triantaphyllou E (2008) Ranking irregularities when evaluating alternatives by using some electre methods. Omega Int J Manag Sci 36:45–63

    Google Scholar 

  • Wang L, Zhang HY, Wang JQ (2018) Frank Choquet Bonferroni mean operators of bipolar neutrosophic sets and their application to multi-criteria decision-making problems. Int J Fuzzy Syst 20(1):13–28

    MathSciNet  Google Scholar 

  • Wang J, Wei G, Wei C, Wei Y (2020) MABAC method for multiple attribute group decision-making under q-rung orthopair fuzzy environment. Def Technol 16:208–216

    Google Scholar 

  • Wei GW, Alsaadi FE, Tasawar H, Alsaedi A (2017) Hesitant bipolar fuzzy aggregation operators in multiple attribute decision-making. J Intell Fuzzy Syst 33(2):1119–1128

    MATH  Google Scholar 

  • Wei G, Gao H, Wang J, Huang YH (2018) Research on risk evaluation of enterprise human capital investment with interval-valued bipolar 2-tuple linguistic information. IEEE Access 6:35697–35712

    Google Scholar 

  • Wei GW, Alsaadi FE, Tasawar H, Alsaedi A (2018) Bipolar fuzzy Hamacher aggregation operators in multiple attribute decision-making. Int J Fuzzy Syst 20(1):1–12

    MathSciNet  MATH  Google Scholar 

  • Wu XL, Liao HC (2019) A consensus-based probabilistic linguistic gained and lost dominance score method. Eur J Oper Res 272:1017–1027

    MathSciNet  MATH  Google Scholar 

  • Xu XR, Wei GW (2017) Dual hesitant bipolar fuzzy aggregation operators in multiple attribute decision-making. Int J Knowl Based Intell Eng Syst 21(3):155–164

    Google Scholar 

  • Xu XG, Xiong Y, Xu DH, Liu HC (2020) Bipolar fuzzy Petri nets for knowledge representation and acquisition considering non-cooperative behaviors. Int J Mach Learn Cybern 11:2297–2311

    Google Scholar 

  • 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

    MathSciNet  Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353

    MATH  Google Scholar 

  • Zhang WR (1994) Bipolar fuzzy sets and relations: a computational frame work for cognitive modelling and multiagent decision analysis. In: NAFIPS/IFIS/NASA’94. Proceedings of the first international joint conference of the North American fuzzy information processing society biannual conference. The industrial fuzzy control and intelligence, IEEE, pp 305–309

  • Zhang WR (1998) Bipolar fuzzy sets. In: Proceedings of FUZZYIEEE, Anchorage, AK, USA, pp 853–840

  • Zhang WR, Zhang L (2004) Bipolar logic and bipolar fuzzy logic. Inf Sci 165(3–4):265–287

    MathSciNet  MATH  Google Scholar 

  • Zhang S, Wei G, Alsaadi Fuad E, Hayat T, Wei C, Zhang Z (2020) MABAC method for multiple attribute group decision-making under picture 2-tuple linguistic environment. Soft Comput 24:5819–5829

    Google Scholar 

  • Zhao M, Wei G, Wei C, Guo Y (2021) CPT-TODIM method for bipolar fuzzy multi-attribute group decision-making and its application to network security service provider selection. Int J Intell Syst 36(5):1943–1969

    Google Scholar 

  • Ziemba P (2018) NEAT F-PROMETHEE-A new fuzzy multiple criteria decision-making method based on the adjustment of mapping trapezoidal fuzzy numbers. Expert Syst Appl 110:363–380

    Google Scholar 

Download references

Acknowledgements

The authors wish to thank the anonymous reviewers for their valuable comments and helpful suggestions which greatly improved the quality of this paper.

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Correspondence to Chiranjibe Jana.

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Communicated by Anibal Tavares de Azevedo.

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Jana, C. Multiple attribute group decision-making method based on extended bipolar fuzzy MABAC approach. Comp. Appl. Math. 40, 227 (2021). https://doi.org/10.1007/s40314-021-01606-3

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