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 26 , Issue 1 , PP: 181-191, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

The novel algebraic structure trigonometric Pythagorean neutrosophic set provides the basis for interaction weighted aggregating operators

P. Srikanth Rao 1 , R. Balaji 2 , Nasreen kausar 3 , Tonguc Cagin 4 *

  • 1 B V Raju Institute of Technology, Narsapur Medak-Dist, Telangana State, 502313, India - (srikanthrao.p@bvrit.ac.in)
  • 2 Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India - (balaji 2410@yahoo.co.in)
  • 3 Department of Mathematics, Faculty of Arts and Science, Balikesir University, 10145 Balikesir, Turkey - (Kausar.nasreen57@gmail.com)
  • 4 College of Business Administration, American University of the Middle East, Kuwait - (tonguc.cagin@aum.edu.kw)
  • Doi: https://doi.org/10.54216/IJNS.260116

    Received: Spetember 25, 2024 Revised: December 20, 2024 Accepted: February 10, 2025
    Abstract

    We introduce new methods for the trigonometric Pythagorean neutrosophic set (TPNSS) via interaction aggregating operator in this study. A combination of the trigonometric operator and the Pythagorean neutrosophic set. The universal aggregation function is used to study the novel averaging and geometric interaction operations of Pythagorean neutrosophic numbers. The TPNSS are commutative, associative, idempotent, and boundedness compatible. TPNSS interaction weighted averaging, TPNSS interaction weighted geometric, generalized TPNSS interaction weighted averaging, and generalized TPNSS interaction weighted geometric are the four new interaction aggregating operators that are introduced. The Euclidean distance, Hamming distance, and score values are often assumed to represent the aggregation functions.

    Keywords :

    Aggregating operator , TPNSIWA , TPNSIWG , GTPNSIWA , GTPNSIWG

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    Cite This Article As :
    Srikanth, P.. , Balaji, R.. , kausar, Nasreen. , Cagin, Tonguc. The novel algebraic structure trigonometric Pythagorean neutrosophic set provides the basis for interaction weighted aggregating operators. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 181-191. DOI: https://doi.org/10.54216/IJNS.260116
    Srikanth, P. Balaji, R. kausar, N. Cagin, T. (2025). The novel algebraic structure trigonometric Pythagorean neutrosophic set provides the basis for interaction weighted aggregating operators. International Journal of Neutrosophic Science, (), 181-191. DOI: https://doi.org/10.54216/IJNS.260116
    Srikanth, P.. Balaji, R.. kausar, Nasreen. Cagin, Tonguc. The novel algebraic structure trigonometric Pythagorean neutrosophic set provides the basis for interaction weighted aggregating operators. International Journal of Neutrosophic Science , no. (2025): 181-191. DOI: https://doi.org/10.54216/IJNS.260116
    Srikanth, P. , Balaji, R. , kausar, N. , Cagin, T. (2025) . The novel algebraic structure trigonometric Pythagorean neutrosophic set provides the basis for interaction weighted aggregating operators. International Journal of Neutrosophic Science , () , 181-191 . DOI: https://doi.org/10.54216/IJNS.260116
    Srikanth P. , Balaji R. , kausar N. , Cagin T. [2025]. The novel algebraic structure trigonometric Pythagorean neutrosophic set provides the basis for interaction weighted aggregating operators. International Journal of Neutrosophic Science. (): 181-191. DOI: https://doi.org/10.54216/IJNS.260116
    Srikanth, P. Balaji, R. kausar, N. Cagin, T. "The novel algebraic structure trigonometric Pythagorean neutrosophic set provides the basis for interaction weighted aggregating operators," International Journal of Neutrosophic Science, vol. , no. , pp. 181-191, 2025. DOI: https://doi.org/10.54216/IJNS.260116