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Group decision-making based on bipolar neutrosophic fuzzy prioritized muirhead mean weighted averaging operator

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Abstract

In this paper, the prioritized muirhead mean aggregation operations are used to constructing some bipolar neutrosophic fuzzy (BNF) operators, i.e., BNF prioritized muirhead mean weighted averaging, BNF prioritized muirhead mean ordered weighted averaging, BNF prioritized muirhead mean hybrid weighted averaging, BNF prioritized muirhead mean weighted geometric, BNF prioritized muirhead mean ordered weighted geometric and BNF prioritized muirhead mean hybrid weighted geometric operators have been proposed. Further, a multi-attribute decision-making technique is developed and the proposed aggregation operators are used. Finally, a numerical methodology for execution of the proposed system is introduced.

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References

  • Abualigah LMQ (2019) Feature selection and enhanced krill herd algorithm for text document clustering. Springer, Berlin, pp 1–165

    Book  Google Scholar 

  • Abualigah L (2020) Multi-verse optimizer algorithm: a comprehensive survey of its results, variants, and applications. Neural Comput Appl. https://doi.org/10.1007/s00521-020-04839-1

    Article  Google Scholar 

  • Abualigah LM, Khader AT (2017) Unsupervised text feature selection technique based on hybrid particle swarm optimization algorithm with genetic operators for the text clustering. J Supercomput 73(11):4773–4795

    Article  Google Scholar 

  • Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96

    Article  MATH  Google Scholar 

  • Atanassov KT (1999) Interval valued intuitionistic fuzzy sets. Intuit Fuzzy Sets 35:139–177

    Article  Google Scholar 

  • Broumi S, Smarandache F (2013) Correlation coefficient of interval neutrosophic set. Appl Mech Mater 436:511–517https://doi.org/10.6084/M9.FIGSHARE.1502585

    Article  Google Scholar 

  • Broumi S, Marandache F (2014) New distance and similarity measures of interval neutrosophic sets. In: Proceedings of the FUSION, 17th international conference on information fusion, Salamanca, Spain, 7–10 July 2014.

  • Chen K, Fu Q (2018) Research on the comprehensive evaluation in business strategy’s performance with normal distribution interval number. Proc Natl Acad Sci India Sect A Phys Sci 88(4):565–570

    Article  Google Scholar 

  • Chi P, Liu P (2013) An extended TOPSIS method for the multiple attribute decision making problems based on interval neutrosophic set. Neutrosophic Sets Syst 1:63–70

    Google Scholar 

  • De SK, Biswas R, Roy AR (2001) An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets Syst 117:209–213

    Article  MATH  Google Scholar 

  • Deli I, Ali M, Smarandache F (2015) Bipolar neutrosophic sets and their application based on multi-criteria decision making problems. In: 2015 International conference on advanced mechatronic systems (ICAMechS). IEEE, pp 249–254

  • Ejegwa PA, Awolola JA (2019) Novel distance measures for Pythagorean fuzzy sets with applications to pattern recognition problems. Granul Comput 2019:1–9

    Google Scholar 

  • Farhadinia B, Effati S, Chiclana F (2021) A family of similarity measures for q-rung orthopair fuzzy sets and their applications to multiple criteria decision making. Int J Intell Syst. https://doi.org/10.1002/int.22351

    Article  Google Scholar 

  • Garg H (2020) Novel neutrality aggregation operator-based multiattribute group decision-making method for single-valued neutrosophic numbers. Soft Comput 24(14):10327–10349

    Article  Google Scholar 

  • Garg H, Kamal K (2019) A novel possibility measure to interval-valued intuitionistic fuzzy set using connection number of set pair analysis and its applications. Neural Comput Appl. https://doi.org/10.1007/s00521-019-04291-w

    Article  Google Scholar 

  • Garg H, Singh S (2018) A Novel triangular interval type-2 intuitionstic fuzzy sets and their aggregation operators. Iran J Fuzzy Syst 15(5):69–93. https://doi.org/10.22111/ijfs.2018.4159

    Article  MathSciNet  MATH  Google Scholar 

  • Gurcanli GE, Mungen U (2009) An occupational safety risk analysis method at construction sites using fuzzy sets. Int J Ind Ergon 39:371–387

    Article  Google Scholar 

  • Huang H (2016) New distance measure of single-valued neutrosophic sets and its application. Int J Intell Syst 31:1021–1032

    Article  Google Scholar 

  • Li H, Yin S, Yang Y (2019) Some preference relations based on q-rung orthopair fuzzy sets. Int J Intell Syst 34:2920–2936

    Article  Google Scholar 

  • Liang D, Darko AP, Xu Z, Quan W (2018) The linear assignment method for multicriteria group decision making based on interval-valued Pythagorean fuzzy Bonferroni mean. Int J Intell Syst 33(11):2101–2138

    Article  Google Scholar 

  • Liu P, Liu W (2021) Dual generalized Bonferroni mean operators based on 2-dimensional uncertain linguistic information and their applications in multi-attribute decision making. Artif Intell Rev 54(1):491–517

    Article  Google Scholar 

  • Liuab HW (2007) Multi-criteria decision-making methods based on intuitionistic fuzzy sets. Eur J Oper Res 179:220–233

    Article  Google Scholar 

  • Nguyen VU (1985) Tender evaluation by fuzzy sets. J Constr Eng Manag 111:231–243

    Article  Google Scholar 

  • Pal SK, King RA (1983) On edge detection of X-ray images using fuzzy sets. IEEE Trans Pattern Anal Mach Intell 5:69–77

    Article  Google Scholar 

  • Shahzadi G, Akram M, Saeid AB (2017) An application of single-valued neutrosophic sets in medical diagnosis. Neutrosophic Sets Syst 18:80–88

    Google Scholar 

  • Sivaraman G, Vishnukumar P, Raj MEA (2020) MCDM based on new membership and non-membership accuracy functions on trapezoidal-valued intuitionistic fuzzy numbers. Soft Comput 24(6):4283–4293

    Article  MATH  Google Scholar 

  • Smarandache F (2001) A unifying field in logics: Neutrosophic logic, neutrosophic set, neutrosophic probability and statistics. Multi-Valued Log 95:7–108

    Google Scholar 

  • Smarandache F (2006) Neutrosophic set-a generalization of the intuitionistic fuzzy set. In: Proceedings of the IEEE international conference on granular computing, Atlanta, GA, USA, pp 10–12

  • Smarandache F (2013) Single valued neutrosophic sets. Rev Air Force Acad 10:9–14

    Google Scholar 

  • Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25:529–539

    MATH  Google Scholar 

  • Verma R, Merigó J (2019) On generalized similarity measures for Pythagorean fuzzy sets and their applications to multiple attribute decision-making. Int J Intell Syst 34:2556–2583

    Article  Google Scholar 

  • Wang HB, Smarandache F, Zhang YQ, Sunderraman R (2005) Interval neutrosophic sets and logic: theory and applications in computing. Comput Sci 65:87

    MathSciNet  MATH  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

    Article  MathSciNet  Google Scholar 

  • Wei G (2017) Picture 2-tuple linguistic Bonferroni mean operators and their application to multiple attribute decision making. Int J Fuzzy Syst 19(4):997–1010

    Article  MathSciNet  Google Scholar 

  • Wei G, Zhang Z (2019) Some single-valued neutrosophic Bonferroni power aggregation operators in multiple attribute decision making. J Ambient Intell Humaniz Comput 10(3):863–882

    Article  Google Scholar 

  • Wu H (2019) Generalized extension principle for non-normal fuzzy sets. Fuzzy Optim Decis Mak 18:399–432

    Article  MathSciNet  MATH  Google Scholar 

  • Xu Z, Xia M (2011) Distance and similarity measures for hesitant fuzzy sets. Inf Sci 181:2128–2138

    Article  MathSciNet  MATH  Google Scholar 

  • Yager RR (1996) Database discovery using fuzzy sets. Int J Intell Syst 11:691–712

    Article  Google Scholar 

  • Ye J (2013) Another form of correlation coefficient between single valued neutrosophic sets and its multiple attribute decision-making method. Neutrosophic Sets Syst 2013(1):8–12

    Google Scholar 

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

    Article  MATH  Google Scholar 

  • Zhang QS, Yao HX, Zhang ZH (2010) Some similarity measures of interval-valued intuitionistic fuzzy sets and application to pattern recognition. Appl Mech Mater 44–47:3888–3892

    Article  Google Scholar 

  • Zhang H, Wang Q, Chen X (2014) Interval neutrosophic sets and their application in multicriteria decision making problems. Sci World J 1:645953

    Google Scholar 

  • Zhang HY, Pu J, Wang JQ, Chen XH (2015) An improved weighted correlation coefficient based on integrated weight for interval neutrosophic sets and its application in multi-criteria decision-making problems. Int J Comput Intell Syst 8:1027–1043

    Article  Google Scholar 

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AF assistant professor of math, the University of Faisalabad. NUA Department of information technology, Hazara university, Mansehra, Pakistan. All authors contributed equally.

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Correspondence to Noor Ul Amin.

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Fahmi, A., Amin, N.U. Group decision-making based on bipolar neutrosophic fuzzy prioritized muirhead mean weighted averaging operator. Soft Comput 25, 10019–10036 (2021). https://doi.org/10.1007/s00500-021-05793-3

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