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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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Open access journal. All articles are freely available online with no APC.

International Journal of Neutrosophic Science
Full Length Article

Volume 24Issue 3PP: 220-232 • 2024

Extension of arithmetic and geometric aggregating operators using new type interval-valued neutrosophic sets.

M. Palanikumar 1* ,
T. T. Raman 2 ,
A. Swaminathan 3 ,
Aiyared Iampan 4
1Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, Tamil Nadu 602105, India
2Department of Mathematics, St. Joseph’s Institute of Technology, OMR, Chennai-600119, India
3Department of Mathematics, Agni College of Technology, Thalambur, Chennai-600130, India.
4Department 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 08, 2023 Revised: February 05, 2024 Accepted: March 01, 2024

Abstract

The purpose of this article is to present a novel approach to the (δ,ε)  interval-valued neutrosophic set (IVNS). This is an extension of the IVNS. As a result of this article, we will discuss the concept of (δ,ε)   interval valued neutrosophic weighted averaging (IVNWA), (δ,ε)  interval-valued neutrosophic weighted geometric (IVNWG), (δ,ε)  generalized interval-valued neutrosophic weighted averaging (GIVNWA) and (δ,ε)  generalized interval-valued neutrosophic weighted geometric (GIVNWG). Additionally, the (δ,ε) IVNS approach is characterized by idempotency, boundedness, commutativity and monotonicity.

Keywords

(&delta &epsilon ) IVNWA (&delta &epsilon ) IVNWG G (&delta &epsilon ) IVNWA G (&delta &epsilon ) IVNWAG.

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Palanikumar, M., Raman, T. T., Swaminathan, A., Iampan, Aiyared. "Extension of arithmetic and geometric aggregating operators using new type interval-valued neutrosophic sets.." International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 3, 2024, pp. 220-232. DOI: https://doi.org/10.54216/IJNS.240319
Palanikumar, M., Raman, T., Swaminathan, A., Iampan, A. (2024). Extension of arithmetic and geometric aggregating operators using new type interval-valued neutrosophic sets.. International Journal of Neutrosophic Science, Volume 24(Issue 3), 220-232. DOI: https://doi.org/10.54216/IJNS.240319
Palanikumar, M., Raman, T. T., Swaminathan, A., Iampan, Aiyared. "Extension of arithmetic and geometric aggregating operators using new type interval-valued neutrosophic sets.." International Journal of Neutrosophic Science Volume 24, no. Issue 3 (2024): 220-232. DOI: https://doi.org/10.54216/IJNS.240319
Palanikumar, M., Raman, T., Swaminathan, A., Iampan, A. (2024) 'Extension of arithmetic and geometric aggregating operators using new type interval-valued neutrosophic sets.', International Journal of Neutrosophic Science, Volume 24(Issue 3), pp. 220-232. DOI: https://doi.org/10.54216/IJNS.240319
Palanikumar M, Raman T, Swaminathan A, Iampan A. Extension of arithmetic and geometric aggregating operators using new type interval-valued neutrosophic sets.. International Journal of Neutrosophic Science. 2024;Volume 24(Issue 3):220-232. DOI: https://doi.org/10.54216/IJNS.240319
M. Palanikumar, T. Raman, A. Swaminathan, A. Iampan, "Extension of arithmetic and geometric aggregating operators using new type interval-valued neutrosophic sets.," International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 3, pp. 220-232, 2024. DOI: https://doi.org/10.54216/IJNS.240319
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