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 25 , Issue 3 , PP: 92-105, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

RETRACTED ARTICLE: Different algebraic structures and their properties setting logarithm operator applied to extended neutrosophic interval-valued set

Aiyared Iampan 1 , M. Palanikumar 2 , M. S. Malchijah Raj 3

  • 1 Department of Mathematics, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand - (aiyared.ia@up.ac.th)
  • 2 Department of Mathematics, SRM Valliammai Engineering College, Kattankulathur 603203, Tamilnadu, India - (palanimaths86@gmail.com)
  • 3 Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India - (malchijahraj@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.250309

    RETRACTION NOTE: The Editor-in-Chief and the publisher have retracted this article. An investigation by the publisher found a number of articles, including this one, with a number of concerns, including but not limited to compromised editorial handling and peer review process, inappropriate or irrelevant references. Based on the investigation's findings the Editor-in-Chief therefore no longer has confidence in the results and conclusions of this article. The authors have been notified with this decision. The article was retracted on 17 March 2025.
    Abstract

    We present the neutrosophic interval-valued set applied to the q-rung logarithmic operator (q-RLOANIVS). One might develop a q-rung neutrosophic interval-valued set by extending the Pythagorean interval-valued fuzzy set (PIVFS) and neutrosophic set (NS). We discuss the q-Rlogarithimic operator applied neutrosophic interval-valued weighted averaging (q-RLOANIVWA), q-Rlogarithimic operator applied neutrosophic intervalvalued weighted geometric (q-RLOANIVWG), extended q-Rlogarithimic operator applied neutrosophic intervalvalued weighted averaging (q-RELOANIVWA) and extended q-Rlogarithimic operator applied neutrosophic interval-valued weighted geometric (q-RELOANIVWG). Several algebraic attributes have been established, including distributivity, idempotency, and associativity of q-RLOANIVSs.

    Keywords :

    q-RLOANIVWA , q-RLOANIVWG , q-RELOANIVWA , q-RELOANIVWG

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    Cite This Article As :
    Iampan, Aiyared. , Palanikumar, M.. , S., M.. RETRACTED ARTICLE: Different algebraic structures and their properties setting logarithm operator applied to extended neutrosophic interval-valued set. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 92-105. DOI: https://doi.org/10.54216/IJNS.250309
    Iampan, A. Palanikumar, M. S., M. (2025). RETRACTED ARTICLE: Different algebraic structures and their properties setting logarithm operator applied to extended neutrosophic interval-valued set. International Journal of Neutrosophic Science, (), 92-105. DOI: https://doi.org/10.54216/IJNS.250309
    Iampan, Aiyared. Palanikumar, M.. S., M.. RETRACTED ARTICLE: Different algebraic structures and their properties setting logarithm operator applied to extended neutrosophic interval-valued set. International Journal of Neutrosophic Science , no. (2025): 92-105. DOI: https://doi.org/10.54216/IJNS.250309
    Iampan, A. , Palanikumar, M. , S., M. (2025) . RETRACTED ARTICLE: Different algebraic structures and their properties setting logarithm operator applied to extended neutrosophic interval-valued set. International Journal of Neutrosophic Science , () , 92-105 . DOI: https://doi.org/10.54216/IJNS.250309
    Iampan A. , Palanikumar M. , S. M. [2025]. RETRACTED ARTICLE: Different algebraic structures and their properties setting logarithm operator applied to extended neutrosophic interval-valued set. International Journal of Neutrosophic Science. (): 92-105. DOI: https://doi.org/10.54216/IJNS.250309
    Iampan, A. Palanikumar, M. S., M. "RETRACTED ARTICLE: Different algebraic structures and their properties setting logarithm operator applied to extended neutrosophic interval-valued set," International Journal of Neutrosophic Science, vol. , no. , pp. 92-105, 2025. DOI: https://doi.org/10.54216/IJNS.250309