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Journal of Neutrosophic and Fuzzy Systems

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Journal of Neutrosophic and Fuzzy Systems

Volume 6 , Issue 2 , PP: 49-54, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Shortest Path Problem using Pythagorean Fuzzy Triangular Number

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

  • 1 PG and Research Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli – 620020, Tamil Nadu, India - (asimbasha36@gmail.com)
  • 2 PG and Research Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli – 620020, Tamil Nadu, India - (m.md.jabarulla@gmail.com)
  • 3 Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco - (broumisaid78@gmail.com)

    • Doi: https://doi.org/10.54216/JNFS.060205

    Received: December 17, 2022 Revised: April 18, 2023 Accepted: May 08, 2023
    Abstract

    This paper, they developed a new path to compromise with Pythagorean Shortest Path Problem (PSPP) in a network location each edge weight is expressed an Triangular Fuzzy Pythagorean Numbers (TFPNs). Then the Proposed Algorithm (PA) further provide the SP length from the source node (SN) to destination node (DN) from applying a Ranking Function for Pythagorean Fuzzy Numbers (PFN). Certainly, a descriptive example is also included.

    Keywords :

    Pythagorean fuzzy numbers (PFN) , Triangular Pythagorean fuzzy numbers (TPFN) , Score function (SF) , Shortest path problem (SPP).

    References

    [1]. A. Nagoor Gani, M. Mohammed Jabarulla, On Searching Intui Fuzzy SP in a Network, Applied Mathematical Sciences, Vol.4, no.69,3447-3454,2010.

    [2]. A. Nagoor Gani, M. Mohammed Jabarulla, Multiple labelling Approach For Finding SP with Intui Fuzzy Arc Length, International Journal of Scientific and engineering Research, V3, Issue11, PP.102-106, 2012.

    [3]. Guiwu Wei, Xiaofei Zhao, Rui Lin, some induced Aggregating Operators with Fuzzy Number Intui Fuzzy Information and Their Applications to Group Decision Making, International Journal Of Computational Intelligence Systems, Vol.3, N0.1, 84-95, 2010.

    [4]. H. Garg (ed.), PFS, Theory and Applications, under exclusive license to Springer Nature Singapore Ptr Ltd. 2021.

    [5]. K.T. Atanassov, Intui Fuzzy Sets, Springer, 2019.

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    [7]. Lazim Abdullah, Pinxin Goh, Decision making method based on PFS and its application to solid waste management, Complex and Intelligent System, 5:185-198, 2019.

    [8]. L. Sujatha, Hyacinta JD, The SPP on Networks with Intui Fuzzy Edge Weights, Global Journal of Pure and Applied Mathematics, Vol 13, No.7, PP. 3285-3300, 2017.

    [9]. M. Muhammad Akram, Farwa Ilyasa and Arsham Borumand Saeid, Certain Notions of PF Graphs, Journal of Intelligent and Fuzzy Systems 36, 5857-5874, 2019.

    [10]. S. Broumi, A. Bakali, M. Talea, F. Smarandache and L. Vladareanu, Shortest path problem under triangular fuzzy neutrosophic information, 10th International Conference on software, Knowledge, Information Management & Applications, PP. 169 – 174, 2016.

    [11]. R.R. Yager, PF subsets, In: Proc Joint IFSA world congress and NAFIPS Annual Meeting, Edmonton, Canada, PP.57-61, 2019.

    [12]. R.R. Yager, Pythagorean membership grades in decision making, IEEE Transactions on Fuzzy Systems 22(4), 958-965, 2019.

    [13]. X. Zhang and Z. Xu, Extension of TOPSIS to multiple criteria decision making with PFS, International Journal of Intelligent Systems 29(12), 1061-1078, 2014.

    [14]. Xinfan Wang, Fuzzy Number Intui Fuzzy Arithmetic Aggregation Operators, International Journal of Fuzzy Systems, Vol.10, No.2, 2008.

    [15]. Z. Xu, Intui fuzzy aggregation operators, IEEE Transactions on Fuzzy Systems 15(6), 1179-1187, 2007.

    Cite This Article As :
    Asim, M.. , Mohammed, M.. , said, Broumi. Shortest Path Problem using Pythagorean Fuzzy Triangular Number. Journal of Neutrosophic and Fuzzy Systems, vol. , no. , 2023, pp. 49-54. DOI: https://doi.org/10.54216/JNFS.060205
    Asim, M. Mohammed, M. said, B. (2023). Shortest Path Problem using Pythagorean Fuzzy Triangular Number. Journal of Neutrosophic and Fuzzy Systems, (), 49-54. DOI: https://doi.org/10.54216/JNFS.060205
    Asim, M.. Mohammed, M.. said, Broumi. Shortest Path Problem using Pythagorean Fuzzy Triangular Number. Journal of Neutrosophic and Fuzzy Systems , no. (2023): 49-54. DOI: https://doi.org/10.54216/JNFS.060205
    Asim, M. , Mohammed, M. , said, B. (2023) . Shortest Path Problem using Pythagorean Fuzzy Triangular Number. Journal of Neutrosophic and Fuzzy Systems , () , 49-54 . DOI: https://doi.org/10.54216/JNFS.060205
    Asim M. , Mohammed M. , said B. [2023]. Shortest Path Problem using Pythagorean Fuzzy Triangular Number. Journal of Neutrosophic and Fuzzy Systems. (): 49-54. DOI: https://doi.org/10.54216/JNFS.060205
    Asim, M. Mohammed, M. said, B. "Shortest Path Problem using Pythagorean Fuzzy Triangular Number," Journal of Neutrosophic and Fuzzy Systems, vol. , no. , pp. 49-54, 2023. DOI: https://doi.org/10.54216/JNFS.060205

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