International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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International Journal of Neutrosophic Science

Volume 19 , Issue 3 , PP: 63-84, 2022 | Cite this article as | XML | Html | PDF

Square root Diophantine neutrosophic normal interval-valued sets and their aggregated operators in application to multiple attribute decision making

M. Palanikumar 1 * , Said Broumi 2

  • 1 Department of Mathematics, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India - (palanimaths86@gmail.com)
  • 2 Laboratory of Information Processing, Faculty of Science Ben MSik, University of Hassan II, Casablanca, Morocco - (broumisaid78@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.190307

    Received: June 16, 2022 Accepted: November 02, 2022
    Abstract

    We discuss innovative square root Diophantine neutrosophic normal interval-valued set (SRDioNSNIVS)-

    based approaches to multiple attribute decision-making (MADM) problems. Square root neutrosophic sets,

    interval-valued Diophantine neutrosophic sets and neutrosophic normal interval-valued (NSNIV) sets are both

    extensions of square root Diophantine neutrosophic sets. In this section, we will look over several aggregating

    operations and how those interpretations have evolved over time. The article is focused on a novel idea known

    as square root NSNIV weighted averaging (SRDioNSNIVWA), square root NSNIV weighted geometric (SRDioNSNIVWG),

    generalized square root NSNIV weighted averaging (GSRDioNSNIVWA), and generalized

    square root NSNIV weighted geometric (GSRDioNSNIVWG). In order to solve MADM problems, we also

    begin an algorithm based on the aforementioned operators. The use of the euclidean and hamming distances

    is described, and examples from real-world situations are given. The main characteristics of these sets under

    various algebraic operations will be discussed in this communication. They are more practical and straightforward,

    and the ideal choice may be determined quickly. As a result, the defined models are more accurate

    and closely tied to Φ. In order to show the reliability and usefulness of the models under examination, we also

    compare a few of the proposed and current models. The study’s results are also fascinating and intriguing.

    Keywords :

    SRDioNSNIVWA , SRDioNSNIVWG , GSRDioNSNIVWA , GSRDioNSNIVWG

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    Cite This Article As :
    M. Palanikumar, Said Broumi. "Square root Diophantine neutrosophic normal interval-valued sets and their aggregated operators in application to multiple attribute decision making." Full Length Article, Vol. 19, No. 3, 2022 ,PP. 63-84 (Doi   :  https://doi.org/10.54216/IJNS.190307)
    M. Palanikumar, Said Broumi. (2022). Square root Diophantine neutrosophic normal interval-valued sets and their aggregated operators in application to multiple attribute decision making. Journal of , 19 ( 3 ), 63-84 (Doi   :  https://doi.org/10.54216/IJNS.190307)
    M. Palanikumar, Said Broumi. "Square root Diophantine neutrosophic normal interval-valued sets and their aggregated operators in application to multiple attribute decision making." Journal of , 19 no. 3 (2022): 63-84 (Doi   :  https://doi.org/10.54216/IJNS.190307)
    M. Palanikumar, Said Broumi. (2022). Square root Diophantine neutrosophic normal interval-valued sets and their aggregated operators in application to multiple attribute decision making. Journal of , 19 ( 3 ), 63-84 (Doi   :  https://doi.org/10.54216/IJNS.190307)
    M. Palanikumar, Said Broumi. Square root Diophantine neutrosophic normal interval-valued sets and their aggregated operators in application to multiple attribute decision making. Journal of , (2022); 19 ( 3 ): 63-84 (Doi   :  https://doi.org/10.54216/IJNS.190307)
    M. Palanikumar, Said Broumi, Square root Diophantine neutrosophic normal interval-valued sets and their aggregated operators in application to multiple attribute decision making, Journal of , Vol. 19 , No. 3 , (2022) : 63-84 (Doi   :  https://doi.org/10.54216/IJNS.190307)