New type of Diophantine neutrosophic aggregation operators and its extension

M.; K.; K.; Aiyared

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

Full Length Article

Volume 23 • Issue 3 • PP: 18-28 • 2024

New type of Diophantine neutrosophic aggregation operators and its extension

M. Palanikumar ^1*

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,

K. Arulmozhi ²

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,

K. Sundareswari ³

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,

Aiyared Iampan ⁴

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¹Department of Mathematics, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India

²Department of Mathematics, Bharath Institute of Higher Education and Research, Tamil Nadu, Chennai-600073, India

³Department of Mathematics, Al-Ameen Engineering College, Erode.

⁴Fuzzy Algebras and Decision-Making Problems Research Unit, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand.

* Corresponding Author.

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

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

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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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Palanikumar, M., Arulmozhi, K., Sundareswari, K., Iampan, Aiyared. "New type of Diophantine neutrosophic aggregation operators and its extension." International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 3, 2024, pp. 18-28. DOI: https://doi.org/10.54216/IJNS.230302

Palanikumar, M., Arulmozhi, K., Sundareswari, K., Iampan, A. (2024). New type of Diophantine neutrosophic aggregation operators and its extension. International Journal of Neutrosophic Science, Volume 23(Issue 3), 18-28. DOI: https://doi.org/10.54216/IJNS.230302

Palanikumar, M., Arulmozhi, K., Sundareswari, K., Iampan, Aiyared. "New type of Diophantine neutrosophic aggregation operators and its extension." International Journal of Neutrosophic Science Volume 23, no. Issue 3 (2024): 18-28. DOI: https://doi.org/10.54216/IJNS.230302

Palanikumar, M., Arulmozhi, K., Sundareswari, K., Iampan, A. (2024) 'New type of Diophantine neutrosophic aggregation operators and its extension', International Journal of Neutrosophic Science, Volume 23(Issue 3), pp. 18-28. DOI: https://doi.org/10.54216/IJNS.230302

Palanikumar M, Arulmozhi K, Sundareswari K, Iampan A. New type of Diophantine neutrosophic aggregation operators and its extension. International Journal of Neutrosophic Science. 2024;Volume 23(Issue 3):18-28. DOI: https://doi.org/10.54216/IJNS.230302

M. Palanikumar, K. Arulmozhi, K. Sundareswari, A. Iampan, "New type of Diophantine neutrosophic aggregation operators and its extension," International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 3, pp. 18-28, 2024. DOI: https://doi.org/10.54216/IJNS.230302

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