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AIMS Mathematics

2022, Volume 7, Issue 2: 1678-1706. doi: 10.3934/math.2022097
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Research article

A novel decision making technique based on spherical hesitant fuzzy Yager aggregation information: application to treat Parkinson's disease

  • 1.
    Deanship of Combined First Year, Umm Al-Qura University, Makkah, Saudi Arabia
  • 2.
    Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan
  • 3.
    Department of Mathematics and Statistics, Bacha Khan University, Charsadda 24420, Pakistan
  • 4.
    University College of Jammum, Umm Al-Qura University, Makkah, Saudi Arabia
  • Received: 09 August 2021 Accepted: 25 October 2021 Published: 01 November 2021

  • MSC : 03B52, 03E72

  • The concept of spherical hesitant fuzzy set is a mathematical tool that have the ability to easily handle imprecise and uncertain information. The method of aggregation plays a great role in decision-making problems, particularly when there are more conflicting criteria. The purpose of this article is to present novel operational laws based on the Yager t-norm and t-conorm under spherical hesitant fuzzy information. Furthermore, based on the Yager operational laws, we develop the list of Yager weighted averaging and Yager weighted geometric aggregation operators. The basic fundamental properties of the proposed operators are given in detail. We design an algorithm to address the uncertainty and ambiguity information in multi-criteria group decision making (MCGDM) problems. Finally, a numerical example related to Parkinson disease is presented for the proposed model. To show the supremacy of the proposed algorithms, a comparative analysis of the proposed techniques with some existing approaches and with validity test is presented.

    Citation: Muhammad Naeem, Aziz Khan, Shahzaib Ashraf, Saleem Abdullah, Muhammad Ayaz, Nejib Ghanmi. A novel decision making technique based on spherical hesitant fuzzy Yager aggregation information: application to treat Parkinson's disease[J]. AIMS Mathematics, 2022, 7(2): 1678-1706. doi: 10.3934/math.2022097

    Related Papers:

  • The concept of spherical hesitant fuzzy set is a mathematical tool that have the ability to easily handle imprecise and uncertain information. The method of aggregation plays a great role in decision-making problems, particularly when there are more conflicting criteria. The purpose of this article is to present novel operational laws based on the Yager t-norm and t-conorm under spherical hesitant fuzzy information. Furthermore, based on the Yager operational laws, we develop the list of Yager weighted averaging and Yager weighted geometric aggregation operators. The basic fundamental properties of the proposed operators are given in detail. We design an algorithm to address the uncertainty and ambiguity information in multi-criteria group decision making (MCGDM) problems. Finally, a numerical example related to Parkinson disease is presented for the proposed model. To show the supremacy of the proposed algorithms, a comparative analysis of the proposed techniques with some existing approaches and with validity test is presented.


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