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Web applications for multiuser interaction based on power Heronian aggregation operators

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Abstract

Challenging statistics properties could be focused and solved by power average (PA) implicated by using decision makers as well as Heronian mean (HM) operator. This will more precisely depict the totaled effects. In training to revenue the full procedure of these kinds of operators, in this objective, we joined the PA operator with HM operator and extended them to technique qrung orthopair triangular hesitant fuzzy data and offered the qrung orthopair triangular hesitant fuzzy power Heronian aggregation operators. More properties of these innovative aggregation operators are examined, and some superior cases are discussed. Besides, we offer innovative system constructed on these operators for multiple attribute group decision making. Finally, a demonstrative case is certain to prove the usefulness and compensations of the industrialized technique by likening with the current method.

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References

  • Ali MI (2018) Another view on q-rung orthopair fuzzy sets. Int J Intell Syst 33(11):2139–2153

    Article  Google Scholar 

  • Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96

    Article  Google Scholar 

  • Chen TY (2018) An interval-valued Pythagorean fuzzy outranking method with a closeness-based assignment model for multiple criteria decision making. Int J Intell Syst 33(1):126–168

    Article  Google Scholar 

  • Gard H (2016) A novel accuracy function under interval-valued Pythagorean fuzzy environment for solving multicriteria decision making problem. J Intell Fuzzy Syst 31(1):529–540

    Article  Google Scholar 

  • Garg H (2018) New exponential operational laws and their aggregation operators for interval-valued Pythagorean fuzzy multicriteria decision-making. Int J Intell Syst 33(3):653–683

    Article  Google Scholar 

  • Garg H (2020b) Neutrality operations-based Pythagorean fuzzy aggregation operators and its applications to multiple attribute group decision-making process. J Ambient Intell Humaniz Comput 11(7):3021–3041

    Article  Google Scholar 

  • Garg H (2020a) Linguistic interval-valued Pythagorean fuzzy sets and their application to multiple attribute group decision making process. Cogn Comput 12(6):1313–1337

    Article  Google Scholar 

  • Joshi BP, Singh A, Bhatt PK, Vaisla KS (2018) Interval valued q-rung orthopair fuzzy sets and their properties. J Intell Fuzzy Syst 35(5):5225–5230

    Article  Google Scholar 

  • Liu P, Wang P (2018) Some q-rung orthopair fuzzy aggregation operators and their applications to multiple-attribute decision making. Int J Intell Syst 33(2):259–280

    Article  Google Scholar 

  • Liu Z, Wang S, Liu P (2018) Multiple attribute group decision making based on q-rung orthopair fuzzy Heronian mean operators. Int J Intell Syst 33:2341–2363

    Article  Google Scholar 

  • Rahman K, Abdullah S, Ali A (2019) Some induced aggregation operators based on interval-valued Pythagorean fuzzy numbers. Granul Comput 4(1):53–62

    Article  Google Scholar 

  • Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25(6):529–539

    MATH  Google Scholar 

  • Wang W, Liu X (2011) Intuitionistic fuzzy geometric aggregation operators based on Einstein operations. Int J Intell Syst 26(11):1049–1075

    Article  Google Scholar 

  • Wang W, Liu X, Qin Y (2012) Interval-valued intuitionistic fuzzy aggregation operators. J Syst Eng Electron 23(4):574–580

    Article  Google Scholar 

  • Wei G, Gao H, Wei Y (2018) Some q-rung orthopair fuzzy Heronian mean operators in multiple attribute decision making. Int J Intell Syst 33(7):1426–1458

    Article  Google Scholar 

  • Yager RR (2014) Pythagorean membership grades in multicriteria decision making. IEEE Trans Fuzzy Syst 22(4):958–965

    Article  Google Scholar 

  • Yager RR (2016) Generalized orthopair fuzzy sets. IEEE Trans Fuzzy Syst 25(5):1222–1230

    Article  Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353

    Article  Google Scholar 

  • Zhang X (2016) Multicriteria Pythagorean fuzzy decision analysis: a hierarchical QUALIFLEX approach with the closeness indexbased ranking methods. Inf Sci 330:104–124

    Article  Google Scholar 

Download references

Acknowledgments

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University, Abha 61413, Saudi Arabia for funding this work through research groups program under grant number R.G. P-2/98/43.

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Authors and Affiliations

  1. Department of Mathematics, The University of Faisalabad, Faisalabad, Pakistan

    Aliya Fahmi

  2. Department of Management Sciences, The University of Faisalabad, Faisalabad, Pakistan

    Zahida Maqbool

  3. Department of Mathematics and Statists, Hazara University Mansehra, Mansehra, Pakistan

    Fazli Amin

  4. Department of Mathematics, King Khalid University, Abha, Saudi Arabia

    Muhammad Aslam

Authors
  1. Aliya Fahmi
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  2. Zahida Maqbool
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  3. Fazli Amin
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  4. Muhammad Aslam
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Contributions

All authors are contributed equally.

Corresponding author

Correspondence to Aliya Fahmi.

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The authors declare that there is no conflict of interests regarding the publication of this paper. Compliance with Ethical Standards: This study is not supported by any source or any organizations. Ethical approval: This article does not contain any studies with human participants or animals performed by any of the authors.

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Fahmi, A., Maqbool, Z., Amin, F. et al. Web applications for multiuser interaction based on power Heronian aggregation operators. Soft Comput 26, 4553–4573 (2022). https://doi.org/10.1007/s00500-022-06876-5

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  • DOI: https://doi.org/10.1007/s00500-022-06876-5

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