SpringerLink
Log in

Multi-attribute group decision-making based on probabilistic dual hesitant fuzzy Maclaurin symmetric mean operators

  • Original Paper
  • Published:
Granular Computing Aims and scope Submit manuscript

Abstract

In this study, we put forward the dual Maclaurin symmetric mean (DMSM) and the Maclaurin symmetric mean (MSM) operators with the context of the probabilistic dual hesitant fuzzy set (PDHFS), which can address the issues in previous probabilistic dual hesitant fuzzy aggregation operators. Some novel operators based on MSM and DMSM for aggregating PDHF information are prepared, followed by several properties and special cases. Namely, the PDHFMSM, weighted PDHFMSM (WPDHFMSM), PDHFDMSM, weighted PDHFDMSM (WPDHFDMSM) operators. Furthermore, some necessary characteristics and exceptional cases concerning different parametric values of these operators are discussed. Additionally, two new methods based on the WPDHFMSM and WPDHFDMSM operators have been developed with the help of COPRAS technique to deal with multi-attribute group decision-making problems. Lastly, the validity and effectiveness of the intended methods are demonstrated through a case study on selecting the best photovoltaic cells.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Balali A, Valipour A, Edwards R, Moehler R (2021) Ranking effective risks on human resources threats in natural gas supply projects using anp-copras method: case study of shiraz. Reliab Eng Syst Saf 208(107):442

    Google Scholar 

  • Beg I, Rashid T (2013) Topsis for hesitant fuzzy linguistic term sets. Int J Intell Syst 28(12):1162–1171

    Article  Google Scholar 

  • Chatterjee P, Athawale VM, Chakraborty S (2011) Materials selection using complex proportional assessment and evaluation of mixed data methods. Mater Des 32:851–860

    Article  Google Scholar 

  • Darko AP, Liang D (2020) An extended copras method for multiattribute group decision making based on dual hesitant fuzzy maclaurin symmetric mean. Int J Intell Syst 35:1021–1068

    Article  Google Scholar 

  • Feng M, Liu P, Geng Y (2019) A method of multiple attribute group decision making based on 2-tuple linguistic dependent maclaurin symmetric mean operators. Symmetry 11:31

    Article  MATH  Google Scholar 

  • Garg H, Kaur G (2018) Algorithm for probabilistic dual hesitant fuzzy multi-criteria decision-making based on aggregation operators with new distance measures. Mathematics 6:280

    Article  MATH  Google Scholar 

  • Garg R, Kumar R, Garg S (2018) Madm-based parametric selection and ranking of e-learning websites using fuzzy copras. IEEE Trans Educ 62:1–8

    Google Scholar 

  • Goswami SS, Behera DK (2021) Solving material handling equipment selection problems in an industry with the help of entropy integrated copras and aras mcdm techniques. Process Integr Optim Sustain 5:947–973

    Article  Google Scholar 

  • Grabisch M, Marichal JL, Mesiar R, Pap E (2009) Aggregation functions, vol 127. Cambridge University Press, Cambridge

    Book  MATH  Google Scholar 

  • Hao Z, Xu Z, Zhao H, Su Z (2017) Probabilistic dual hesitant fuzzy set and its application in risk evaluation. Knowl-Based Syst 127:16–28

    Article  Google Scholar 

  • Joshi R, Kumar S (2022) A novel vikor approach based on weighted correlation coefficients and picture fuzzy information for multicriteria decision making. Granular Comput 7(2):323–336

    Article  Google Scholar 

  • Ju Y, Liu X, Ju D (2016) Some new intuitionistic linguistic aggregation operators based on maclaurin symmetric mean and their applications to multiple attribute group decision making. Soft Comput 20:4521–4548

    Article  MATH  Google Scholar 

  • Komornikova M, Mesiar R (2011) Aggregation functions on bounded partially ordered sets and their classification. Fuzzy Sets Syst 175(1):48–56

    Article  MathSciNet  MATH  Google Scholar 

  • Kumari R, Mishra AR (2020) Multi-criteria copras method based on parametric measures for intuitionistic fuzzy sets: application of green supplier selection. Iran J Sci Technol Trans Electr Eng 44:1645–1662

    Article  Google Scholar 

  • Li W, Zhou X, Guo G (2016) Hesitant fuzzy maclaurin symmetric mean operators and their application in multiple attribute decision making. J Comput Anal Appl 20(3):459–469

    MathSciNet  MATH  Google Scholar 

  • Liao H, Jiang L, Lev B, Fujita H (2019) Novel operations of pltss based on the disparity degrees of linguistic terms and their use in designing the probabilistic linguistic electre iii method. Appl Soft Comput 80:450–464

    Article  Google Scholar 

  • Liu P, Li H (2017) Multiple attribute decision-making method based on some normal neutrosophic bonferroni mean operators. Neural Comput Appl 28:179–194

    Article  Google Scholar 

  • Liu P, Li Y (2019) Multi-attribute decision making method based on generalized maclaurin symmetric mean aggregation operators for probabilistic linguistic information. Comput Ind Eng 131:282–294

    Article  Google Scholar 

  • Maclaurin C (1729) A second letter to martin folkes, esq.; concerning the roots of equations, with demonstration of other rules of algebra. Philos Trans R Soc Lond Ser A 1729(36):59–96

  • Noor Q, Alrowaili DA, Rashid T, Husnine SM (2021) Normal wiggly probabilistic hesitant fuzzy information for environmental quality evaluation. Complexity 2021:1–14

    Article  Google Scholar 

  • Qin J, Liu X (2015) Approaches to uncertain linguistic multiple attribute decision making based on dual maclaurin symmetric mean. J Intell Fuzzy Syst 29:171–186

    Article  MathSciNet  MATH  Google Scholar 

  • Qin Y, Cui X, Huang M, Zhong Y, Tang Z, Shi P (2020) Multiple-attribute decision-making based on picture fuzzy archimedean power maclaurin symmetric mean operators. Granular Comput 6:737–761

    Article  Google Scholar 

  • Socorro García-Cascales M, Teresa Lamata M, Miguel Sánchez-Lozano J (2011) Evaluation of photovoltaic cells in a multi-criteria decision making process. Ann Oper Res 199:373–391

    Article  MATH  Google Scholar 

  • Stanujkić D, Karabašević D (2019) An extension of the waspas method for decision-making problems with intuitionistic fuzzy numbers: a case of website evaluation. Oper Res Eng Sci Theory Appl 1:29–39

    Article  Google Scholar 

  • Torra V, Narukawa Y (2009) On hesitant fuzzy sets and decision. 2009 IEEE International Conference on Fuzzy Systems pp 1378–1382

  • Wei G, Lu M (2018) Pythagorean fuzzy maclaurin symmetric mean operators in multiple attribute decision making. Int J Intell Syst 33:1043–1070

    Article  Google Scholar 

  • Yang Y, Wang JQ, Wang J (2020) A vikor-based framework to optimize the location of fast-charging stations with proportional hesitant fuzzy information. J Intell Fuzzy Syst 39:2581–2596

    Article  Google Scholar 

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

    Article  MATH  Google Scholar 

  • 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 Z (2020) Maclaurin symmetric means of dual hesitant fuzzy information and their use in multi-criteria decision making. Granular Comput 5:251–275

    Article  Google Scholar 

  • Zhu B, Xu Z, **a M (2012) Dual hesitant fuzzy sets. J Appl Math 2012:1–13

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematics Department, Government Khawaja Rafique (Shaheed) College, Lahore, 54600, Pakistan

    Qasim Noor

  2. Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan

    Tabasam Rashid

  3. Department of Mathematics, Lahore School of Economics, Lahore, 54770, Pakistan

    Ismat Beg

Authors
  1. Qasim Noor
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tabasam Rashid
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ismat Beg
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ismat Beg.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Funding

We do not have any funding for this research.

Data availability statement

All the required data for the manuscript are already included in manuscript. No further data file is required.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Noor, Q., Rashid, T. & Beg, I. Multi-attribute group decision-making based on probabilistic dual hesitant fuzzy Maclaurin symmetric mean operators. Granul. Comput. 8, 633–666 (2023). https://doi.org/10.1007/s41066-022-00346-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s41066-022-00346-x

Keywords

Search

Navigation