Submit Your Paper
  1. Home
  2. Journals
  3. Journal of Neutrosophic and Fuzzy Systems

Journal of Neutrosophic and Fuzzy Systems

Journal DOI

https://doi.org/10.54216/JNFS

Submit Your Paper

2771-6449ISSN (Online) 2771-6430ISSN (Print)
Submit Your Paper

Journal Menu

Homepage Journal Overview Editorial Board Submitting Articles Indexing & Abstracting

Journal Volumes

Journal of Neutrosophic and Fuzzy Systems

Volume 7 , Issue 1 , PP: 08-15, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Interval – Valued Pythagorean Fuzzy Soft Graphs

R. Sivasamy 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) - (sivasamyr1998@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 - (broumisaid78@gmail.com)

    • Doi: https://doi.org/10.54216/JNFS.070101

    Received: January 20, 2023 Revised: May 10, 2023 Accepted: June 30, 2023
    Abstract

    Interval-valued Pythagorean fuzzy soft sets and graph theory are combined in this essay. Then, we present notations for Pythagorean fuzzy soft graphs with interval values. On interval-valued Pythagorean fuzzy soft graphs, we also provide a variety of operations, such as Cartesian product and composition, and we look at some of their characteristics. Finally, we consider the application of I-VPFSGs for the selection  of suitable houses and got the appropriate result by using score function.

    Keywords :

    Interval-valued fuzzy graph (I-VFG) , Interval-valued fuzzy soft graph (I-VFSG) , Interval-valued Pythagorean fuzzy soft graphs (I-VPFSG).

    References

     

    [1]

    M. Akram, W.A. Dudek, interval-valued  fuzzy graphs, Computers and Mathematics with Applications.61(2011), 289-299. DOI: 10.1016/j.camwa.2010.11.004

    [2]

    M. Akram and S. Shahzadi, Novel intuitionistic fuzzy soft multiple-attribute decision- making methods, Neural computing and applications 29(7) (2018), 435-4478.

    DOI: 10.1007/s00521-016-2543-x

    [3]

    K.T Atanssov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1)(1986),87-96. DOI: 10.1016/S0165-0114(86)80034-3

    [4]

    H. Garg, A novel correlation coefficients between Pythagorean fuzzy sets and its applications to decision making processes, International journal of Intelligent systems 31(12) (2016), 1234-1252.DOI:  https://doi.org/10.1002/int.21827

    [5]

    H. Garg, Confidence levels based Pythagorean fuzzy aggregation operators and its application to decision - making process, Computational and Mathematical organization theory                        23(4) (2017), 546-571. DOI: 10.1007/s10588-017-9242-8

    [6]

    S.Y Mohamed, A.Mohammed Ali, Interval-valued Pythagorean fuzzy graph, Journal of computer and  Mathematical Sciences, Vol 9(10), 1497-1511(2018).

    [7]

    D.A. Molodstov, Soft set theory- first results, computers and Mathematics with applications          37, 19-31(1999). DOI: 10.1016/S0898-1221(99)00056-5

    [8]

    S.Shahzadi and M.Akram, Intuitionistic fuzzy soft graphs  with applications, Journal of Applied Mathematics and computing 55(12)(2017), 369-392.DOI: 10.1007/s12190-016-1041-8.

    [9]

    S.Shahzadi and M.Akram, Pythagorean fuzzy soft graphs with applications, Journal of Intelligence and Fuzzy Systems 38(2020) 4977-4991.DOI: 10.3233/JIFS-191610.

            [10]

    Yager. R.R. Pythagorean fuzzy subsets. the Joint IFSA world congress and NAFIPS Annual Meeting, Edmonton AB Canada, 24-28 june (2013)

    DOI:10.1109/IFSA-NAFIPS.2013.6608375.

           [11]

    Yager. R.R. Pythagorean  membership grads in multi-criteria decision making. IEEE Trans. Fuzzy Syst., 22, 958-965 (2014).DOI: 10.1109/TFUZZ.2013.2278989.

    [12]

    X. Zhang, A novel approach based on similarity measure for Pythagorean fuzzy multiple criteria group decision-making, International journal of intelligent systems 31(6) (2016), 539-611.          DOI: 10.1002/int.21796.

    [13]

    X.Zhang and Z.Xu, Extension of TOPSIS to multiple criteria decision making with Pythagorean fuzzy sets, International Journal of Intelligent Systems 29(12)(2014),1061-1078.                         DOI: 10.1002/int.21676.

    [14]

    L.A. Zadeh, fuzzy sets, Infromation and Control 8(3)(1965),338-353.

    DOI:10.1016/S0019-9958(65)90241-X.
    Cite This Article As :
    Sivasamy, R.. , Mohammed, M.. , said, Broumi. Interval – Valued Pythagorean Fuzzy Soft Graphs. Journal of Neutrosophic and Fuzzy Systems, vol. , no. , 2023, pp. 08-15. DOI: https://doi.org/10.54216/JNFS.070101
    Sivasamy, R. Mohammed, M. said, B. (2023). Interval – Valued Pythagorean Fuzzy Soft Graphs. Journal of Neutrosophic and Fuzzy Systems, (), 08-15. DOI: https://doi.org/10.54216/JNFS.070101
    Sivasamy, R.. Mohammed, M.. said, Broumi. Interval – Valued Pythagorean Fuzzy Soft Graphs. Journal of Neutrosophic and Fuzzy Systems , no. (2023): 08-15. DOI: https://doi.org/10.54216/JNFS.070101
    Sivasamy, R. , Mohammed, M. , said, B. (2023) . Interval – Valued Pythagorean Fuzzy Soft Graphs. Journal of Neutrosophic and Fuzzy Systems , () , 08-15 . DOI: https://doi.org/10.54216/JNFS.070101
    Sivasamy R. , Mohammed M. , said B. [2023]. Interval – Valued Pythagorean Fuzzy Soft Graphs. Journal of Neutrosophic and Fuzzy Systems. (): 08-15. DOI: https://doi.org/10.54216/JNFS.070101
    Sivasamy, R. Mohammed, M. said, B. "Interval – Valued Pythagorean Fuzzy Soft Graphs," Journal of Neutrosophic and Fuzzy Systems, vol. , no. , pp. 08-15, 2023. DOI: https://doi.org/10.54216/JNFS.070101

    Article Statistics

    View
    55489
    Download
    915

    Download