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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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Continuous publication

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International Journal of Neutrosophic Science
Full Length Article

Volume 26Issue 1PP: 181-191 • 2025

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
1B V Raju Institute of Technology, Narsapur Medak-Dist, Telangana State, 502313, India
2Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
3Department of Mathematics, Faculty of Arts and Science, Balikesir University, 10145 Balikesir, Turkey
4College of Business Administration, American University of the Middle East, Kuwait
* Corresponding Author.
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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Rao, P. Srikanth, 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. Volume 26, no. Issue 1, 2025, pp. 181-191. DOI: https://doi.org/10.54216/IJNS.260116
Rao, 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, Volume 26(Issue 1), 181-191. DOI: https://doi.org/10.54216/IJNS.260116
Rao, P. Srikanth, 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 Volume 26, no. Issue 1 (2025): 181-191. DOI: https://doi.org/10.54216/IJNS.260116
Rao, 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, Volume 26(Issue 1), pp. 181-191. DOI: https://doi.org/10.54216/IJNS.260116
Rao 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. 2025;Volume 26(Issue 1):181-191. DOI: https://doi.org/10.54216/IJNS.260116
P. Rao, R. Balaji, N. Kausar, T. Cagin, "The novel algebraic structure trigonometric Pythagorean neutrosophic set provides the basis for interaction weighted aggregating operators," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, pp. 181-191, 2025. DOI: https://doi.org/10.54216/IJNS.260116
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