352 428
Full Length Article
International Journal of Neutrosophic Science
Volume 22 , Issue 2, PP: 54-67 , 2023 | Cite this article as | XML | Html |PDF

Title

Bipolar Triangular Neutrosophic Chromatic Numbers with the Application of traffic light system

  S. Sudha 1 * ,   B. Shoba 2 ,   A. Rajkumar 3 ,   Broumi Said 4

1  Department of Mathematics, Hindustan Institute of Technology & Science, Chennai-603 103, India ; Department of Mathematics Mohamed Sathak AJ College of Engineering, Chennai-603103, India
    (sudha.aarpitha@gmail.com)

2  Department of Mathematics, St.Joseph’s College of Engineering, Chennai-600 119, India
    (shobabalasubramaniyam@gmail.com)

3  Department of Mathematics, Hindustan Institute of Technology & Science, Chennai-603 103, India
    (arajkumar@hindustanuniv.ac.in)

4  Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco
    (broumisaid78@gmail.com)

Full Text Download


Doi   :   https://doi.org/10.54216/IJNS.220205

Received: April 12, 2023 Revised: June 14, 2023 Accepted: September 11, 2023

Abstract :

For addressing issues in several domains, such as theoretical computer science, engineering, physics, combinatorics, and the medical sciences, graph theory is a crucial component of mathematics. Graph coloring is one of the new settings that is emerging in a neutrosophic chromatic number environment. In addition to introducing the idea of bipolar triangular neutrosophic chromatic graphs (BTNCG), this work also examines and demonstrates the algebraic assumption. The proposed concept has been applied in a traffic signal system to discover a new lane to avoid traffic in peak hours.

Keywords :

Chromatic Number; Neutrosophic Chromatic Number; Bipolar Triangular Neutrosophic Chromatic Number; Neutrosophic Graph Coloring.

References :

[1] Rosenfeld, A, Fuzzy Graphs, Fuzzy Sets and their applications, American Press, New York,1975.

[2] L. A. Zadeh, Fuzzy Sets, Information and control,8(1965),338-353.

[3] F. Smarandache, A Unifying field in logic: Neutrosophic logic, Neutrosophy, neutrosophic set, neutrosophic

       probability, American Research Press, Rehoboth,NM,(1999).

[4] F. Smarandache, Neutrosophic set, a generalization of the intuitionistic fuzzy sets, International Journal for Pure

      and Applied Mathematics, 24 (2005),287-297.

[5] M. Akram. Certain bipolar neutrosophic competition graphs. Journal of Indonesia Math Society, 24(1),2017,

      1-25.

[6] M. Akram,  & S. Siddique. Neutrosophic Competition graphs with aplications, Journal of Intelligence fuzzy

      systems, 33(2), 2017, 921-935.

[7] M. Akram,N. Waseem & W.A. Dudek. Certain types of edge m-polar fuzzy graphs. Iran Journal fuzzy systems,

     14(4),2017,27-50.

[8] R.A. Borzooei., H. Rashmanlou., S. Samanta., & M. Pal. Regularity of vague graphs. Journal of Intelligent and

      fuzzy systems, 30(6),2016,3681-3689.

[9] H-L.Yang., Z-L.Guo., Y. She., X. Liao. On single valued neutrosophic relations. Journal of intelligent fuzzy

      systems, 30(2), 2016, 1045-1056.

[10] J. Ye, Single-valued neutrosophic minimum spanning tree and its clustering method. Journal of intelligent system, 23(2), 2014, 311-324.

[11] Garrett, H. Chromatic Number and Neutrosophic Chromatic Number. Preprints 2021, 2021120177.

        https://doi.org/10.20944/preprints202112.0177.v1.

[12] Henry Garrett, Different Types of Neutrosophic Chromatic Number. DOI: 10.13140/RG.2.2.19068.46723.

[13] Henry Garrett, Metric Dimensions of Graphs. DOI. 10.20944/preprints 202106.0392.v1.

[14] Henry Garrett, New Graph of Graph. DOI. 10.20944/preprints 202106.0323.v1.

[15] H. Wang, F. Smarandache, Y. Zhang, & Sunderraman, Single valued neutrosophic sets, Multispace and

       Multistructure,4,410-413,2010.

[16] I.Deli, M.Ali,F.Smarandache. Bipolar neutrosophic sets and their application based on multi-criteria decision

        making problems. Advanced Mechatronic Systems,249-254,2015.

[17] Akram, M. Bipolar fuzzy graphs. Inf. Sci. 181(24), 5548–5564 (2011).

[18] Wieslaw,A. Dudek, Ali A, Talebi, Operations on level graphs of bipolar fuzzy graphs. Buletinul Acad. De

       Stiinte, A republicii moldova, Matematica, 2(81),107-124,2016.

[19] Akram, M., Shahzadi, S.: Neutrosophic soft graphs with application. J. Intell. Fuzzy Syst.

       32(1), 841–858 (2017).

[20] Broumi, S., Talea, M., Bakali, A., Smarandache, F.: On bipolar single valued neutrosophic graphs. In: New

       Trends in Neutrosophic Theory and Applications, pp. 203–221 (2016).

[21] Akram, M., Shahzadi, G.: Operations on single-valued neutrosophic graphs. J. Uncertain System,11(3), 1–26

        (2017).

[22] S. Sumadji, Indonesian highway capacity manual, Directorate General of Highways-Ministry of Public Works,

       1993.

[23] Akram, M., & Shahzadi, G. (2018). Bipolar Neutrosophic Graphs. Studies in Fuzziness and Soft Computing,

        145–171. doi:10.1007/978-3-030-00045-5_7 .

[24] Rosyida, I., Widodo, Indrati, C. R., & Indriati, D. (2018). On Fuzzy Chromatic Number of Join of Fuzzy

       Graphs with an Application. 2018 International Symposium on Advanced Intelligent Informatics

       (SAIN). doi:10.1109/sain.2018.8673365.

Cite this Article as :
Style #
MLA S. Sudha, B. Shoba, A. Rajkumar, Broumi Said. "Bipolar Triangular Neutrosophic Chromatic Numbers with the Application of traffic light system." International Journal of Neutrosophic Science, Vol. 22, No. 2, 2023 ,PP. 54-67 (Doi   :  https://doi.org/10.54216/IJNS.220205)
APA S. Sudha, B. Shoba, A. Rajkumar, Broumi Said. (2023). Bipolar Triangular Neutrosophic Chromatic Numbers with the Application of traffic light system. Journal of International Journal of Neutrosophic Science, 22 ( 2 ), 54-67 (Doi   :  https://doi.org/10.54216/IJNS.220205)
Chicago S. Sudha, B. Shoba, A. Rajkumar, Broumi Said. "Bipolar Triangular Neutrosophic Chromatic Numbers with the Application of traffic light system." Journal of International Journal of Neutrosophic Science, 22 no. 2 (2023): 54-67 (Doi   :  https://doi.org/10.54216/IJNS.220205)
Harvard S. Sudha, B. Shoba, A. Rajkumar, Broumi Said. (2023). Bipolar Triangular Neutrosophic Chromatic Numbers with the Application of traffic light system. Journal of International Journal of Neutrosophic Science, 22 ( 2 ), 54-67 (Doi   :  https://doi.org/10.54216/IJNS.220205)
Vancouver S. Sudha, B. Shoba, A. Rajkumar, Broumi Said. Bipolar Triangular Neutrosophic Chromatic Numbers with the Application of traffic light system. Journal of International Journal of Neutrosophic Science, (2023); 22 ( 2 ): 54-67 (Doi   :  https://doi.org/10.54216/IJNS.220205)
IEEE S. Sudha, B. Shoba, A. Rajkumar, Broumi Said, Bipolar Triangular Neutrosophic Chromatic Numbers with the Application of traffic light system, Journal of International Journal of Neutrosophic Science, Vol. 22 , No. 2 , (2023) : 54-67 (Doi   :  https://doi.org/10.54216/IJNS.220205)
↑