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International Journal of Neutrosophic Science
Volume 23 , Issue 3, PP: 220-232 , 2024 | Cite this article as | XML | Html |PDF

Title

New type neutrosophic set applied to power aggregating operators

  K. Raja 1 ,   P. Maragatha Meenakshi 2 ,   N. Rajesh 3 ,   M. Palanikumar 4 ,   Faisal Al-Sharqi 5 ,   Ashraf Al-Quran 6 ,   A. M. Alorsan Bany Awad 7

1  Department of Mathematics, Thanthai Periyar Government Arts and Science College (affiliated to Bharathidasan University), Tiruchirappalli 624024, Tamilnadu, India
    (raju729467@gmail.com)

2  Department of Mathematics, Thanthai Periyar Government Arts and Science College (affiliated to Bharathidasan University), Tiruchirappalli 624024, Tamilnadu, India
    (maragathameenakship@gmail.com)

3  Department of Mathematics, Rajah Serfoji Government College, Thanjavur 613005, Tamilnadu, India
    (nrajesh topology@yahoo.co.in)

4  Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
    (palanimaths86@gmail.com)

5  Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq
    (fisalsharqi38@hotmail.com)

6  Basic Sciences Department, Preparatory Year Deanship, King Faisal University, Al-Ahsa, Saudi Arabia
    (ashrafquran82@gmail.com)

7  Deanship of Development and Quality Assurance, King Faisal University, Al-Ahsa 31982, Saudi Arabia
    (aliawad91@gmail.com)

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Doi   :   https://doi.org/10.54216/IJNS.230319

Received: July 22, 2023 Revised: November 25, 2023 Accepted: February 06, 2024

Abstract :

We introduce the new type neutrosophic set (NS) problems relevant to multiple attribute decision making (MADM). Pythagorean fuzzy set (PFS) and neutrosophic set (NS) can be extended into new type neutrosophic set. We discusses new type neutrosophic weighted averaging (New type NWA), new type neutrosophic weighted geometric (New type NWG), generalized new type neutrosophic weighted averaging (new type GNWA) and generalized new type neutrosophic weighted geometric (new type GNWG). A number of algebraic properties of new type NSs have been established such as associativity, distributivity and idempotency.

Keywords :

MADM; new type NWA; new type NWG; new type GNWA; new type GNWG.

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Cite this Article as :
Style #
MLA K. Raja, P. Maragatha Meenakshi, N. Rajesh, M. Palanikumar, Faisal Al-Sharqi, Ashraf Al-Quran, A. M. Alorsan Bany Awad. "New type neutrosophic set applied to power aggregating operators." International Journal of Neutrosophic Science, Vol. 23, No. 3, 2024 ,PP. 220-232 (Doi   :  https://doi.org/10.54216/IJNS.230319)
APA K. Raja, P. Maragatha Meenakshi, N. Rajesh, M. Palanikumar, Faisal Al-Sharqi, Ashraf Al-Quran, A. M. Alorsan Bany Awad. (2024). New type neutrosophic set applied to power aggregating operators. Journal of International Journal of Neutrosophic Science, 23 ( 3 ), 220-232 (Doi   :  https://doi.org/10.54216/IJNS.230319)
Chicago K. Raja, P. Maragatha Meenakshi, N. Rajesh, M. Palanikumar, Faisal Al-Sharqi, Ashraf Al-Quran, A. M. Alorsan Bany Awad. "New type neutrosophic set applied to power aggregating operators." Journal of International Journal of Neutrosophic Science, 23 no. 3 (2024): 220-232 (Doi   :  https://doi.org/10.54216/IJNS.230319)
Harvard K. Raja, P. Maragatha Meenakshi, N. Rajesh, M. Palanikumar, Faisal Al-Sharqi, Ashraf Al-Quran, A. M. Alorsan Bany Awad. (2024). New type neutrosophic set applied to power aggregating operators. Journal of International Journal of Neutrosophic Science, 23 ( 3 ), 220-232 (Doi   :  https://doi.org/10.54216/IJNS.230319)
Vancouver K. Raja, P. Maragatha Meenakshi, N. Rajesh, M. Palanikumar, Faisal Al-Sharqi, Ashraf Al-Quran, A. M. Alorsan Bany Awad. New type neutrosophic set applied to power aggregating operators. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 3 ): 220-232 (Doi   :  https://doi.org/10.54216/IJNS.230319)
IEEE K. Raja, P. Maragatha Meenakshi, N. Rajesh, M. Palanikumar, Faisal Al-Sharqi, Ashraf Al-Quran, A. M. Alorsan Bany Awad, New type neutrosophic set applied to power aggregating operators, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 3 , (2024) : 220-232 (Doi   :  https://doi.org/10.54216/IJNS.230319)
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