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

M.; T. T.; A.; Aiyared

doi:https://doi.org/10.54216/IJNS.240319

Full Length Article

Volume 24 • Issue 3 • PP: 220-232 • 2024

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

M. Palanikumar ^1*

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,

T. T. Raman ²

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,

A. Swaminathan ³

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,

Aiyared Iampan ⁴

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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.

DOI https://doi.org/10.54216/IJNS.240319

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Received: september 08, 2023 Revised: February 05, 2024 Accepted: March 01, 2024

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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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