Journal of Neutrosophic and Fuzzy Systems

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https://doi.org/10.54216/JNFS

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2771-6449ISSN (Online) 2771-6430ISSN (Print)

Volume 6 , Issue 1 , PP: 21-28, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Neutrosophic Pythagorean Fuzzy Shortest Path in a Network

M. Asim Basha 1 * , M. Mohammed Jabarulla 2 , Broumi said 3

  • 1 Department of Mathematics Jamal Mohamed College (Autonomous) Tiruchirappalli – 620020, Tamil Nadu, India (Affiliated to Bharathidasan University) - (asimbasha36@gmail.com)
  • 2 Department of Mathematics Jamal Mohamed College (Autonomous) Tiruchirappalli – 620020, Tamil Nadu, India (Affiliated to Bharathidasan University) - (m.md.jabarulla@gmail.com)
  • 3 Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco; Regional Center for the Professions of Education and Training(C.R.M.E.F), Casablanca-settat, Morocco. - (broumisaid78@gmail.com)
  • Doi: https://doi.org/10.54216/JNFS.060103

    Received: October 08, 2022 Accepted: March 14, 2023
    Abstract

    We began a novel technique to dealing with the Neutrosophic Pythagorean shortest route problem in a network in this paper by representing each edge weight as a triangular fuzzy Pythagorean number with dependent Neutrosophic components and Pythagorean fuzzy graph condition.0≤μ_1 (v_i^' )^2+β_1 (v_i^' )^2+σ_1 (v_i^' )^2≤2The main purpose of this article is to show how to use Neutrosophic Pythagorean fuzzy graphs. As a result, we created the proposed method, which also delivers the shortest path length from the source node (SN) to the destination node by using a ranking function for the Neutrosophic Pythagorean fuzzy Triangular number. Finally, an illustrative instance is supplied for validation.

    Keywords :

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    Neutrosophic Pythagorean fuzzy Triangular number (NPFTN) , Score function (SF) , Accuracy function (AF) , Neutrosophic Pythagorean shortest path problem (NPSPP).

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    Cite This Article As :
    Asim, M.. , Mohammed, M.. , said, Broumi. Neutrosophic Pythagorean Fuzzy Shortest Path in a Network. Journal of Neutrosophic and Fuzzy Systems, vol. , no. , 2023, pp. 21-28. DOI: https://doi.org/10.54216/JNFS.060103
    Asim, M. Mohammed, M. said, B. (2023). Neutrosophic Pythagorean Fuzzy Shortest Path in a Network. Journal of Neutrosophic and Fuzzy Systems, (), 21-28. DOI: https://doi.org/10.54216/JNFS.060103
    Asim, M.. Mohammed, M.. said, Broumi. Neutrosophic Pythagorean Fuzzy Shortest Path in a Network. Journal of Neutrosophic and Fuzzy Systems , no. (2023): 21-28. DOI: https://doi.org/10.54216/JNFS.060103
    Asim, M. , Mohammed, M. , said, B. (2023) . Neutrosophic Pythagorean Fuzzy Shortest Path in a Network. Journal of Neutrosophic and Fuzzy Systems , () , 21-28 . DOI: https://doi.org/10.54216/JNFS.060103
    Asim M. , Mohammed M. , said B. [2023]. Neutrosophic Pythagorean Fuzzy Shortest Path in a Network. Journal of Neutrosophic and Fuzzy Systems. (): 21-28. DOI: https://doi.org/10.54216/JNFS.060103
    Asim, M. Mohammed, M. said, B. "Neutrosophic Pythagorean Fuzzy Shortest Path in a Network," Journal of Neutrosophic and Fuzzy Systems, vol. , no. , pp. 21-28, 2023. DOI: https://doi.org/10.54216/JNFS.060103