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International Journal of Neutrosophic Science
Volume 23 , Issue 3, PP: 18-28 , 2024 | Cite this article as | XML | Html |PDF

Title

New type of Diophantine neutrosophic aggregation operators and its extension

  M. Palanikumar 1 * ,   K. Arulmozhi 2 ,   K. Sundareswari 3 ,   Aiyared Iampan 4

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

2  Department of Mathematics, Bharath Institute of Higher Education and Research, Tamil Nadu, Chennai-600073, India
    (arulmozhiems@gmail.com)

3  Department of Mathematics, Al-Ameen Engineering College, Erode.
    (k.sundareswari@gmail.com)

4  Fuzzy Algebras and Decision-Making Problems Research Unit, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand.
    (aiyared.ia@up.ac.th)

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Doi   :   https://doi.org/10.54216/IJNS.230302

Received: July 28, 2023 Revised: September 18, 2023 Accepted: January 15, 2024

Abstract :

We introduce the concept of new type of Diophantine neutrosophic set. A Diophatine neutrosophic set is the new type of a neutrosophic set and Diophatine fuzzy set (DioFS). We discuss Diophantine neutrosophic weighted averaging (DioNWA), Diophantine neutrosophic weighted geometric (DioNWG), generalized Diophantine neutrosophic weighted averaging(GDioNWA), generalized Diophantine neutrosophic weighted geometric (GDioNWG). In this article, we define the Euclidean distance (ED), Hamming distance (HD) and operator laws. By analyzing new type of Diophantine neutrosophic set through algebraic operations, we discuss its properties.

Keywords :

DioNWA; DioNWG; GDioNWA; GDioNWG.

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Cite this Article as :
Style #
MLA M. Palanikumar, K. Arulmozhi, K. Sundareswari, Aiyared Iampan. "New type of Diophantine neutrosophic aggregation operators and its extension." International Journal of Neutrosophic Science, Vol. 23, No. 3, 2024 ,PP. 18-28 (Doi   :  https://doi.org/10.54216/IJNS.230302)
APA M. Palanikumar, K. Arulmozhi, K. Sundareswari, Aiyared Iampan. (2024). New type of Diophantine neutrosophic aggregation operators and its extension. Journal of International Journal of Neutrosophic Science, 23 ( 3 ), 18-28 (Doi   :  https://doi.org/10.54216/IJNS.230302)
Chicago M. Palanikumar, K. Arulmozhi, K. Sundareswari, Aiyared Iampan. "New type of Diophantine neutrosophic aggregation operators and its extension." Journal of International Journal of Neutrosophic Science, 23 no. 3 (2024): 18-28 (Doi   :  https://doi.org/10.54216/IJNS.230302)
Harvard M. Palanikumar, K. Arulmozhi, K. Sundareswari, Aiyared Iampan. (2024). New type of Diophantine neutrosophic aggregation operators and its extension. Journal of International Journal of Neutrosophic Science, 23 ( 3 ), 18-28 (Doi   :  https://doi.org/10.54216/IJNS.230302)
Vancouver M. Palanikumar, K. Arulmozhi, K. Sundareswari, Aiyared Iampan. New type of Diophantine neutrosophic aggregation operators and its extension. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 3 ): 18-28 (Doi   :  https://doi.org/10.54216/IJNS.230302)
IEEE M. Palanikumar, K. Arulmozhi, K. Sundareswari, Aiyared Iampan, New type of Diophantine neutrosophic aggregation operators and its extension, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 3 , (2024) : 18-28 (Doi   :  https://doi.org/10.54216/IJNS.230302)
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