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International Journal of Neutrosophic Science
Volume 19 , Issue 3, PP: 63-84 , 2022 | Cite this article as | XML | Html |PDF

Title

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

Authors Names :   M. Palanikumar   1 *     Said Broumi   2  

1  Affiliation :  Department of Mathematics, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India

    Email :  palanimaths86@gmail.com


2  Affiliation :  Laboratory of Information Processing, Faculty of Science Ben MSik, University of Hassan II, Casablanca, Morocco

    Email :  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, International Journal of Neutrosophic Science, Vol. 19 , No. 3 , (2022) : 63-84 (Doi   :  https://doi.org/10.54216/IJNS.190307)