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AIMS Mathematics

2023, Volume 8, Issue 3: 5148-5174. doi: 10.3934/math.2023258
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Research article

A novel decision aid approach based on spherical hesitant fuzzy Aczel-Alsina geometric aggregation information

  • 1.
    Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan
  • 2.
    Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan 64200, Pakistan
  • 3.
    Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
  • Correction on: AIMS Mathematics 8: 13787-13788.
  • Received: 13 October 2022 Revised: 23 November 2022 Accepted: 04 December 2022 Published: 13 December 2022

  • MSC : 03B52, 03E72

  • Taking into account the significance of spherical hesitant fuzzy sets, this research concentrates on an innovative multi-criteria group decision-making technique for dealing with spherical hesitant fuzzy (SHF) situations. To serve this purpose, we explore SHF Aczel Alsina operational laws such as the Aczel-Alsina sum, Aczel-Alsina product and Aczel-Alsina scalar multiplication as well as their desirable characteristics. This work is based on the fact that aggregation operators have significant operative adaptability to aggregate the uncertain information under the SHF context. With the aid of Aczel-Alsina operators, we develop SHF Aczel-Alsina geometric aggregation operators to address the complex hesitant uncertain information. In addition, we describe and verify several essential results of the newly invented aggregation operators. Furthermore, a decision aid methodology based on the proposed operators is developed using SHF information. The applicability and viability of the proposed methodology is demonstrated by using a case study related to breast cancer treatment. Comprehensive parameter analysis and a systematic comparative study are also carried out to ensure the dependability and validity of the works under consideration.

    Citation: Aziz Khan, Shahzaib Ashraf, Saleem Abdullah, Muhammad Ayaz, Thongchai Botmart. A novel decision aid approach based on spherical hesitant fuzzy Aczel-Alsina geometric aggregation information[J]. AIMS Mathematics, 2023, 8(3): 5148-5174. doi: 10.3934/math.2023258

    Related Papers:

  • Taking into account the significance of spherical hesitant fuzzy sets, this research concentrates on an innovative multi-criteria group decision-making technique for dealing with spherical hesitant fuzzy (SHF) situations. To serve this purpose, we explore SHF Aczel Alsina operational laws such as the Aczel-Alsina sum, Aczel-Alsina product and Aczel-Alsina scalar multiplication as well as their desirable characteristics. This work is based on the fact that aggregation operators have significant operative adaptability to aggregate the uncertain information under the SHF context. With the aid of Aczel-Alsina operators, we develop SHF Aczel-Alsina geometric aggregation operators to address the complex hesitant uncertain information. In addition, we describe and verify several essential results of the newly invented aggregation operators. Furthermore, a decision aid methodology based on the proposed operators is developed using SHF information. The applicability and viability of the proposed methodology is demonstrated by using a case study related to breast cancer treatment. Comprehensive parameter analysis and a systematic comparative study are also carried out to ensure the dependability and validity of the works under consideration.


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