A new fuzzy decision support system approach; analysis and applications

Hifza; Muhammad Gulistan; Zahid Khan; Mohammed M. Al-Shamiri; Muhammad Azhar; Asad Ali; Joseph David Madasi; Hifza; Muhammad Gulistan; Zahid Khan; Mohammed M. Al-Shamiri; Muhammad Azhar; Asad Ali; Joseph David Madasi

doi:10.3934/math.2022812

AIMS Mathematics

2022, Volume 7, Issue 8: 14785-14825. doi: 10.3934/math.2022812

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Research article

A new fuzzy decision support system approach; analysis and applications

1.
Department of Mathematics & Statistics, Hazara University, Mansehra, KP, Pakistan
2.
Department of Mathematics, Faculty of science and arts, Muhayl Asser, King Khalid University, K.S.A
3.
Department of Mathematics and Computer, Faculty of Science, IBB University, IBB, Yemen
4.
Department of Mathematics, Abbottabad University of Science & Technology, Abbottabad Pakistan
5.
College of Mathematics and Computer Science Zhejiang Normal University, 688 Yingbin Ave, Jinhua 321004, China

Received: 22 February 2022 Revised: 21 May 2022 Accepted: 25 May 2022 Published: 08 June 2022

The current study proposes the idea of the N-cubic Pythagorean fuzzy set with their basic arithmetic operations to aggregate these sets. We define the score and accuracy functions for the comparison purpose. Finally, we discuss Chang's extent analysis of AHP under the environment of the N-cubic Pythagorean fuzzy set using the idea of triangular N-cubic Pythagorean fuzzy set. As an application, we discuss the reason for the downfall of international airlines using the developed approach.
- cubic Pythagorean fuzzy sets,
- N-cubic Pythagorean fuzzy sets,
- triangular N-cubic Pythagorean fuzzy set,
- AHP, application
Citation: Hifza, Muhammad Gulistan, Zahid Khan, Mohammed M. Al-Shamiri, Muhammad Azhar, Asad Ali, Joseph David Madasi. A new fuzzy decision support system approach; analysis and applications[J]. AIMS Mathematics, 2022, 7(8): 14785-14825. doi: 10.3934/math.2022812

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Abstract

The current study proposes the idea of the N-cubic Pythagorean fuzzy set with their basic arithmetic operations to aggregate these sets. We define the score and accuracy functions for the comparison purpose. Finally, we discuss Chang's extent analysis of AHP under the environment of the N-cubic Pythagorean fuzzy set using the idea of triangular N-cubic Pythagorean fuzzy set. As an application, we discuss the reason for the downfall of international airlines using the developed approach.

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