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International Journal of Neutrosophic Science
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Title

Nonagonal Neutrosophic Number and its Application in Optimization Technique

  N. Jose Parvin Praveena 1 * ,   S. Ghousia Begum 2 ,   A. Rajkumar 3 ,   D. Nagarajan 4 ,   Broumi Said 5

1  St. Joseph’s College of Engineering, Chennai, India
    (jose30102003@gmail.com)

2  Hindustan Institute of Technology and Science, Chennai, India
    (ghousiabs@hindustanuniv.ac.in)

3  Hindustan Institute of Technology and Science, Chennai, India
    (arajkumar@hindustanuniv.ac.in)

4  Department of Mathematics, Rajalakshmi Institute of Technology, Chennai, India
    (dnrmsu2002@yahoo.com)

5  Faculty of Science Ben M’Silk, University of Hassan II,Casablanca, Morocco; Regional Center for the Professions of Education and Training (CRMEF),Casablanca-Settat, Morocco
    (broumisaid78@gmail.com)


Doi   :   https://doi.org/10.54216/IJNS.190206

Received: February 23, 2022 Accepted: October 14, 2022

Abstract :

This article discusses Nonagonal Neutrosophic number and m-valued Nonagonal Neutrosophic number. The score function, the accuracy function, hamming distance, normalized hamming distance, Euclidean distance and normalized Euclidean distance of Nonagonal and m-polar Nonagonal Neutrosophic number are derived. Some de-neutrosophication method for Nonagonal Neutrosophic number and some properties of m-valued Nonagonal Neutrosophic number are proved. In this article the optimal path of an acyclic network is estimated using Neutrosophic α-cut  grade, Neutrosophic Euclidean grade technique and dynamic programming recursion method through Nonagonal Neutrosophic number. The score function and the removal area method are used to transform the Nonagonal Neutrosophic number to crisp number and the results obtained in both the methods are compared.

Keywords :

Nonagonal Neutrosophic number; m- polar Nonagonal Neutrosophic number; Neutrosophic α-cut grade; Euclidean grade , Removal area

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Cite this Article as :
Style #
MLA N. Jose Parvin Praveena , S. Ghousia Begum, A. Rajkumar, D. Nagarajan, Broumi Said. "Nonagonal Neutrosophic Number and its Application in Optimization Technique." International Journal of Neutrosophic Science, Vol. 19, No. 2, 2022 ,PP. 66-79 (Doi   :  https://doi.org/10.54216/IJNS.190206)
APA N. Jose Parvin Praveena , S. Ghousia Begum, A. Rajkumar, D. Nagarajan, Broumi Said. (2022). Nonagonal Neutrosophic Number and its Application in Optimization Technique. Journal of International Journal of Neutrosophic Science, 19 ( 2 ), 66-79 (Doi   :  https://doi.org/10.54216/IJNS.190206)
Chicago N. Jose Parvin Praveena , S. Ghousia Begum, A. Rajkumar, D. Nagarajan, Broumi Said. "Nonagonal Neutrosophic Number and its Application in Optimization Technique." Journal of International Journal of Neutrosophic Science, 19 no. 2 (2022): 66-79 (Doi   :  https://doi.org/10.54216/IJNS.190206)
Harvard N. Jose Parvin Praveena , S. Ghousia Begum, A. Rajkumar, D. Nagarajan, Broumi Said. (2022). Nonagonal Neutrosophic Number and its Application in Optimization Technique. Journal of International Journal of Neutrosophic Science, 19 ( 2 ), 66-79 (Doi   :  https://doi.org/10.54216/IJNS.190206)
Vancouver N. Jose Parvin Praveena , S. Ghousia Begum, A. Rajkumar, D. Nagarajan, Broumi Said. Nonagonal Neutrosophic Number and its Application in Optimization Technique. Journal of International Journal of Neutrosophic Science, (2022); 19 ( 2 ): 66-79 (Doi   :  https://doi.org/10.54216/IJNS.190206)
IEEE N. Jose Parvin Praveena, S. Ghousia Begum, A. Rajkumar, D. Nagarajan, Broumi Said, Nonagonal Neutrosophic Number and its Application in Optimization Technique, Journal of International Journal of Neutrosophic Science, Vol. 19 , No. 2 , (2022) : 66-79 (Doi   :  https://doi.org/10.54216/IJNS.190206)