International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 24 , Issue 3 , PP: 240-257, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

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 *

  • 1 Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, Tamil Nadu 602105, India - (palanimaths86@gmail.com)
  • 2 Department of Mathematics, Bharath Institute of Higher Education and Research, Chennai-600073, India - (arulmozhiems@gmail.com)
  • 3 Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand. - (aiyared.ia@up.ac.th)
  • Doi: https://doi.org/10.54216/IJNS.240321

    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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    Cite This Article As :
    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. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 240-257, 2024. DOI: https://doi.org/10.54216/IJNS.240321