International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 26 , Issue 3 , PP: 414-425, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

On Complex Fuzzy Soft Graph With Operations

Sana Abu-Ghurra 1 , Ghada Alafif 2 , Eman A. AbuHijleh 3 * , Firas Safi 4

  • 1 Mathematics Department, Faculty of Science, Applied Science Private University, Amman, Jordan - (s_abugurrah@asu.edu.jo)
  • 2 Mathematics Department, Science College, Philadelphia University, Amman, Jordan - (gafifi@philadelphia.edu.jo)
  • 3 Department of Basic Sciences, Al-Zarqa University College, Al-Balqa Applied University, Zarqa 313, Jordan - (emanhijleh@bau.edu.jo)
  • 4 Department of Mathematics, Faculty of Science, Zarqa University, Zarqa, Jordan - (fsafi@zu.edu.jo)
  • Doi: https://doi.org/10.54216/IJNS.260331

    Received: January 03, 2025 Revised: February 25, 2025 Accepted: March 01, 2025
    Abstract

    The goal of this paper is to study complex fuzzy soft graph (CFSG). We introduce the concept of complex fuzzy soft graph from apply complex fuzzy set on fuzzy soft graph. The notations and definitions of some operations on two complex fuzzy soft graphs presented such as union, cartesian product, tensor product, normal product and composition of two complex fuzzy soft graphs. Also, a decision-making (DM) problem on supply chain management is discussed.

    Keywords :

    Complex fuzzy soft graph , Union , cartesian product , Tensor product , Normal product and composition of two complex fuzzy soft graphs

    References

    [1] D.A. Molodtsov, Soft set theory-first results, Computers and Mathematics with Applications, 37 (1999), 19–31.

     

    [2] M.I. Ali, F. Feng, X.Y. Liu,W.K. Min and M. Shabir, On some new operations in soft set theory, Computers and Mathematics with Applications, 57 (2009), 1547–1553.

     

    [3] P.K. Maji, A.R. Roy and R. Biswas, Fuzzy soft sets, Journal of fuzzy Mathematics, 9(3) (2001), 589–602.

     

    [4] Naim. Cagman, S. Enginoglu and F. Citak, Fuzzy Soft Set Theory and Its Applications, Iranian Journal of Fuzzy Systems, 8(3) (2011), 137-147.

     

    [5] D. Ramot, R. Milo, M. Friedman and A. Kandel, Complex fuzzy sets, IEEE Trans. Fuzzy Syst., Vol.10 (2002), pp. 171-186.

     

    [6] P. Thirunavukarasu, R. Suresh and V. Ashokkumar, Theory of complex fuzzy soft set and its applications, International Journal for Innovative Research in Science & Technology, 3(10) (2017), 13-18.

     

    [7] A. Kauffman, Introduction a la Theorie des Sous-emsembles Flous, Masson et Cie, Vol.1, 1973.

     

    [8] A. Rosenfeld, Fuzzy graphs, in: L.A. Zadeh, K.S. Fu and M. Shimura (Eds.), Fuzzy Sets and Their Applications, Academic Press, New York, 1975, pp. 77–95.

     

    [9] P. Bhattacharya, Some remarks on fuzzy graphs, Pattern Recognition Letter, 6 (1987), 297–302.

     

    [10] J.N. Mordeson and C.S. Peng, Operations on fuzzy graphs, Information Sciences, 79 (1994), 159–170.

     

    [11] M.S. Sunitha and A. Vijayakumar, Complement of a fuzzy graph, Indian J Pure Appl Mat,h 33 (2002), 1451–1464.

     

    [12] M. Akram and S. Nawaz, On fuzzy soft graphs. Italian J Pure Appl Math 34 (2015), 497–514.

     

    [13] M. Akram and S. Nawaz, Fuzzy soft graphs with applications. Journal of Intelligent & Fuzzy Systems, 30(6) (2016), 3619-3632.

     

    [14] Zdenka Vidrova, Supply chain management in the aspect of globalization, Globalization and its SocioEconomic Consequences 2019, Vol.74, 2020.

     

    [15] L. Horvath, Collaboration: The key to value creation in supply chain management. Supply Chain Management: An International Journal, 6 (2001), 205-207.

    Cite This Article As :
    Abu-Ghurra, Sana. , Alafif, Ghada. , A., Eman. , Safi, Firas. On Complex Fuzzy Soft Graph With Operations. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 414-425. DOI: https://doi.org/10.54216/IJNS.260331
    Abu-Ghurra, S. Alafif, G. A., E. Safi, F. (2025). On Complex Fuzzy Soft Graph With Operations. International Journal of Neutrosophic Science, (), 414-425. DOI: https://doi.org/10.54216/IJNS.260331
    Abu-Ghurra, Sana. Alafif, Ghada. A., Eman. Safi, Firas. On Complex Fuzzy Soft Graph With Operations. International Journal of Neutrosophic Science , no. (2025): 414-425. DOI: https://doi.org/10.54216/IJNS.260331
    Abu-Ghurra, S. , Alafif, G. , A., E. , Safi, F. (2025) . On Complex Fuzzy Soft Graph With Operations. International Journal of Neutrosophic Science , () , 414-425 . DOI: https://doi.org/10.54216/IJNS.260331
    Abu-Ghurra S. , Alafif G. , A. E. , Safi F. [2025]. On Complex Fuzzy Soft Graph With Operations. International Journal of Neutrosophic Science. (): 414-425. DOI: https://doi.org/10.54216/IJNS.260331
    Abu-Ghurra, S. Alafif, G. A., E. Safi, F. "On Complex Fuzzy Soft Graph With Operations," International Journal of Neutrosophic Science, vol. , no. , pp. 414-425, 2025. DOI: https://doi.org/10.54216/IJNS.260331