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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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Open access journal. All articles are freely available online with no APC.

International Journal of Neutrosophic Science
Full Length Article

Volume 24Issue 3PP: 240-257 • 2024

Cosine trigonometric rules applied to average and geometric aggregating operators using extension q-rung interval-valued neutrosophic set approach.

M. Palanikumar 1* ,
K. Arulmozhi 2 ,
Aiyared Iampan 3
1Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, Tamil Nadu 602105, India
2Department of Mathematics, Bharath Institute of Higher Education and Research, Chennai-600073, India
3Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand.
* Corresponding Author.
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Open Access & Copyright

© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: september 25, 2023 Revised: February 19, 2024 Accepted: March 07, 2024

Abstract

We introduce the concept of cosine trigonometric q-rung Diophantine neutrosophic interval-valued set (CosTq-rung DioNSIVS). The fact that CosTq-rung DioNSIVS combines q-rung neutrosophic interval-valued set, q-rung neutrosophic set and neutrosophic interval-valued set is one of its distinguishing characteristics. A new idea of CosTq-rung DioNSIVWA, CosTq-rung DioNSIVWG, GCosTq-rung DioNSIVWA and GCosTq-rung DioNSIVWG is proposed in this study. We also look at the idempotency, boundedness, commutativity, and monotonicity of the CosTq-rung DioNSIVS based on algebraic operations. We considered new kinds of two distances in the proposed models, besides Euclidean and Hamming distances. The CosTq-rung DioNSIVS method was used to analyze the cosine trigonometric aggregation procedures. The study's concluding results include several fascinating and captivating discoveries.

Keywords

Aggregating operator CosTq-rung DioNSIVWA CosTq-rung DioNSIVWG GCosTq-rung DioNSIVWA GCosTq-rung DioNSIVWG.

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Palanikumar, M., Arulmozhi, K., Iampan, Aiyared. "Cosine trigonometric rules applied to average and geometric aggregating operators using extension q-rung interval-valued neutrosophic set approach.." International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 3, 2024, pp. 240-257. DOI: https://doi.org/10.54216/IJNS.240321
Palanikumar, M., Arulmozhi, K., Iampan, A. (2024). Cosine trigonometric rules applied to average and geometric aggregating operators using extension q-rung interval-valued neutrosophic set approach.. International Journal of Neutrosophic Science, Volume 24(Issue 3), 240-257. DOI: https://doi.org/10.54216/IJNS.240321
Palanikumar, M., Arulmozhi, K., Iampan, Aiyared. "Cosine trigonometric rules applied to average and geometric aggregating operators using extension q-rung interval-valued neutrosophic set approach.." International Journal of Neutrosophic Science Volume 24, no. Issue 3 (2024): 240-257. DOI: https://doi.org/10.54216/IJNS.240321
Palanikumar, M., Arulmozhi, K., Iampan, A. (2024) 'Cosine trigonometric rules applied to average and geometric aggregating operators using extension q-rung interval-valued neutrosophic set approach.', International Journal of Neutrosophic Science, Volume 24(Issue 3), pp. 240-257. DOI: https://doi.org/10.54216/IJNS.240321
Palanikumar M, Arulmozhi K, Iampan A. Cosine trigonometric rules applied to average and geometric aggregating operators using extension q-rung interval-valued neutrosophic set approach.. International Journal of Neutrosophic Science. 2024;Volume 24(Issue 3):240-257. DOI: https://doi.org/10.54216/IJNS.240321
M. Palanikumar, K. Arulmozhi, A. Iampan, "Cosine trigonometric rules applied to average and geometric aggregating operators using extension q-rung interval-valued neutrosophic set approach.," International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 3, pp. 240-257, 2024. DOI: https://doi.org/10.54216/IJNS.240321
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